{"title":"Analyzing nonlinear dynamics of dengue epidemics: A fractional order model with alert state and optimal control strategies","authors":"Abilasha Balakumar, Sumathi Muthukumar, Veeramani Chinnadurai","doi":"10.1002/oca.3103","DOIUrl":"https://doi.org/10.1002/oca.3103","url":null,"abstract":"Dengue fever is a viral disease that results in numerous fatalities and considerable financial burden. Although vaccines have been developed to treat it, some countries still have endemic cases of the disease. To manage the transmission of the disease in these areas, we create a new model that includes an alert compartment to analyze the dynamics of dengue using a fractional‐order approach. We conduct a qualitative analysis of the model and use the Pontryagin principle to develop and study an optimal control problem. Since there is no definitive treatment for dengue, it is essential to prioritize measures that control or prevent the transmission of the disease. We consider control measures, including prevention efforts, insecticides, educational campaigns, and treatment for humans. We can analyze their impact on the transmission dynamics through numerical simulations. We compare our model to an existing one in two ways: with alert and without alert. We analyze the memory effect and validate the results by interpreting parameters on the reproduction number. Our results indicate that individual control measures are insufficient to eliminate the disease, and a combination of all control measures with timely alerts to the population is necessary.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"120 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140480713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic smooth and stable obstacle avoidance for unmanned aerial vehicle based on collision prediction","authors":"Haixu Ma, Zixuan Cai, Guoan Xu, Guang Yang, Guanyu Chen","doi":"10.1002/oca.3070","DOIUrl":"https://doi.org/10.1002/oca.3070","url":null,"abstract":"Abstract Autonomous dynamic obstacle avoidance of unmanned aerial vehicles (UAVs) based on collision prediction is critical for stable flight missions. UAVs must deal with high‐speed and nonlinearly moving obstacles that obey nonlinear dynamics, which are one of the numerous objects affecting stable flight. To satisfy the requirements of smooth flight and attitude stability, a novel dynamic smooth obstacle avoidance (QVA) method based on obstacle trajectory prediction is proposed. To predict the dynamic obstacle trajectories, a trajectory prediction (QLTP) method using a quasi‐linear parameter varying representations is proposed. The proposed QVA integrates the QLTP approach, velocity obstacle (VO) approach, and artificial potential field (APF) methods. The QVA detects an imminent collision based on the QLTP method, and then replans the UAV path based on the VO method at the time of the predicted collision. The UAV tracks planned waypoints for collision avoidance. To ensure the flight safety of the UAV, a virtual APF is constructed with waypoints as local targets and obstacles. The simulation results show that the proposed method performs better than the improved APF and VO methods in terms of the smoothness of the obstacle avoidance path and the stability of the UAV attitude.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"36 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134954102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A generalization of the Riccati recursion for equality‐constrained linear quadratic optimal control","authors":"Lander Vanroye, Joris De Schutter, Wilm Decré","doi":"10.1002/oca.3064","DOIUrl":"https://doi.org/10.1002/oca.3064","url":null,"abstract":"Abstract This paper introduces a generalization of the well‐known Riccati recursion for solving the discrete‐time equality‐constrained linear quadratic optimal control problem. The recursion can be used to compute problem solutions as well as optimal feedback control policies. Unlike other tailored approaches for this problem class, the proposed method does not require restrictive regularity conditions on the problem. This allows its use in nonlinear optimal control problem solvers that use exact Lagrangian Hessian information. We demonstrate that our approach can be implemented in a highly efficient algorithm that scales linearly with the horizon length. Numerical tests show a significant speed‐up of about one order of magnitude with respect to state‐of‐the‐art general‐purpose sparse linear solvers. Based on the proposed approach, faster nonlinear optimal control problem solvers can be developed that are suitable for more complex applications or for implementations on low‐cost or low‐power computational platforms. The implementation of the proposed algorithm is made available as open‐source software.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"67 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136348257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Moshu Qian, Tian Le, Cunsong Wang, Ronghao Wang, Cuimei Bo
{"title":"Distributed adaptive control for multiple unmanned aerial vehicles with state constraints and input quantization","authors":"Moshu Qian, Tian Le, Cunsong Wang, Ronghao Wang, Cuimei Bo","doi":"10.1002/oca.3072","DOIUrl":"https://doi.org/10.1002/oca.3072","url":null,"abstract":"Abstract This paper investigates the distributed fault‐tolerant tracking control (FTTC) problem for multiple unmanned aerial vehicles (UAVs) in the presence of state constraints, input quantization and actuator failures. The unified barrier function (UBF) is first developed to convert the original constrained system model into an unconstrained one, which accomplishes the dynamic constraints of all states. Moreover, a cerebellar model neural network (CMNN) is introduced to estimate the lumped effect of unknown disturbances and actuator failures. Then, a distributed formation flight fault‐tolerant controller (FTC) is designed to guide the UAVs along the desired trajectories based on sliding mode manifold and dynamic surface control technique. Meanwhile, the unknown input chattering and hysteresis quantizer errors in the UAVs system are simultaneously handled by adding the compensation term of FTC. Furthermore, the finite time stability analysis is implemented for all tracking errors and synchronization errors of the cooperative flight control system (CFCS). Finally, a comparative simulation is conducted to demonstrate the effectiveness of the FTTC scheme proposed in this study.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":" 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135141161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive and optimal regulation controller design for fractional linear multi‐agent systems","authors":"Tingting Zhou, Huaiqin Wu, Jinde Cao, Xia Li","doi":"10.1002/oca.3075","DOIUrl":"https://doi.org/10.1002/oca.3075","url":null,"abstract":"Summary This express brief is concerned with the adaptive and optimal regulation control for fractional linear multi‐agent systems (MASs). Firstly, the adaptive control strategy is applied to address the regulation issue for fractional linear MASs with time varying edges. Under the designed adaptive control protocols with adaptive edge‐dependent synchronization gain, the regulation condition is achieved by constructing a Lyapunov functional with the edges. Secondly, the optimal control approach is used to solve the regulation issue for fractional linear MASs with constant edges. The optimization gain is chosen by minimizing an appropriate performance function. Moreover, the synchronization objectives are also achieved based on the proposed the regulation conditions. Finally, the correctness of the theoretical analysis and the feasibility of the designed controllers are verified by two numerical examples.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":" 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135141311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mohammad Amin Rezaei, Peyman Bagheri, Farzad Hashemzadeh
{"title":"Predictive consensus tracking of multi‐agent systems in the presence of Byzantine agents and connection loss of reference signals","authors":"Mohammad Amin Rezaei, Peyman Bagheri, Farzad Hashemzadeh","doi":"10.1002/oca.3076","DOIUrl":"https://doi.org/10.1002/oca.3076","url":null,"abstract":"Abstract This article proposes the consensus tracking of multi‐agent systems, in the presence of Byzantine agents and loss of connection between agents and the reference signal. The main purpose of this work is to steer a multi‐agent system to the desired reference, assuming that there are some agents which send incorrect information to the other agents, and the connection between the agents and the reference signal may lose. Using graph properties alongside the weighted‐mean‐subsequence‐reduced (W‐MSR) algorithm led to a novel control method for multi‐agent systems. With the aid of model predictive control (MPC), the agents reach the desired consensus with connection loss of reference signals, misbehaving agents in the system, and constraints on the input signals. Combining MPC with the W‐MSR algorithm results in an algorithm called reference‐based‐W‐MSR (RBW‐MSR), which has made the consensus point fixed according to a predetermined reference. A theorem is illustrated to guarantee the consensus with the interruption of reference signals and agents. The effectiveness of the proposed algorithm is illustrated via simulation results.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":" 755","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A <scp>BMO</scp>‐based <scp>MRPID</scp> controller with optimal control of speed in hybrid stepper motor","authors":"S. M. Deepa, C. Venkatesh, V. Nandalal","doi":"10.1002/oca.3067","DOIUrl":"https://doi.org/10.1002/oca.3067","url":null,"abstract":"Abstract This paper proposes a Barnacles mating optimizer‐based multi‐resolution proportional‐integral derivative (MRPID) controller for precise speed control of the hybrid stepper motor (HSM). The proposed approach is a barnacle mating optimizer (BMO) control scheme. The main objective of this approach is to use the MRPID controller to improve speed control in particular and uncertain conditions. The BMO is utilized to create the proposed MRPID controller. The proposed converter has a low switching voltage and uses a low input current. The proposed converter supplies a large amount of power to the voltage source inverter (VSI), which converts DC to AC and then supplies it to the HSM. The HSM can be utilized in various settings, including robots and factory applications. Then, the performance of the proposed system has been evaluated in the MATLAB platform and compared with various existing systems. The existing adaptive neuro‐fuzzy inference system (ANFIS) and the moth flame optimization algorithm (MFO) methods are used to validate the efficiency of the proposed controller. The proposed system rise time is 0.0007, the settling time is 0.1, the recovery time is 0.221, the AMU is 1.205, the IAE is 0.1034, and the SSE is 0.234. According to the simulation findings, the suggested system is statistically significant.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"13 3‐4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135392495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gopal Soundra Devi, Jawahar Rahila, Athmanathan Radhika, Pandi Meenalochini
{"title":"Power electronics converters for an electric vehicle fast charging station based energy storage system and renewable energy sources: <scp>Hybird</scp> approach","authors":"Gopal Soundra Devi, Jawahar Rahila, Athmanathan Radhika, Pandi Meenalochini","doi":"10.1002/oca.3066","DOIUrl":"https://doi.org/10.1002/oca.3066","url":null,"abstract":"Abstract A hybrid method is proposed for electric‐vehicle (EV) fast charging station (FCS)‐based power electronics converters with energy‐storage‐systems (ESS) and renewable‐energy‐sources (RESs). The proposed approach is the combination of the fire hawk optimizer (FHO) and gradient boost decision tree (GBDT) algorithms; hence called as FHO‐GBDT approach. The key objective of the FHO‐GBDT approach is to lessen the peak power demand on the grid. The proposed method is incorporated into EV‐FCS with the capability of a mixture of RESs and energy‐storage‐systems. The capacities of energy‐storage aid in improving power‐demand by lessening the demand for peak power. The structure of the energy storage system minimizes the net cost of the DC micro‐grid (MG). The ESS is mostly composed of batteries, which are reused by EVs. The proposed approach and the ESS enable a decrease in obtaining the greatest amount of power possible from the power‐grid (PG). By then, the performance of the proposed approach is simulated in MATLAB, and it is compared to various existing methods. The simulation result shows that the proposed method offers more power than the existing methods.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134906248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robust exponential stabilization and <i>L</i><sub>2</sub>‐gain analysis for saturated switched nonlinear systems subject to actuator failure under asynchronous switching","authors":"Wenxiang Chen, Xinquan Zhang","doi":"10.1002/oca.3069","DOIUrl":"https://doi.org/10.1002/oca.3069","url":null,"abstract":"Abstract For the nonlinear continuous‐time switched system with input saturation under asynchronous switching action, the problem of actuator failure is investigated in the presence of external disturbances. Firstly, a sufficient condition for the robust exponential stabilization of system is obtained by using the minimum dwell‐time method combining the piecewise Lyapunov function method. Secondly, a sufficient condition for the tolerance disturbances of the system is obtained by using the similar approach. Thirdly, the weighted ‐gain is analysed. Then, we maximize the estimation of the domain of attraction for the closed‐loop system by taking the shape of a set into consideration. Furthermore, the fault‐tolerant state feedback controllers are designed, which aim at enlarging the estimation of domain of attraction for the closed‐loop system and obtaining the maximum value of tolerance disturbance and the minimum upper bound on the weighted ‐gain. Last but not least, we give a numerical example to verify the effectiveness of the proposed approach and compare the state responses curve under the action of the fault‐tolerant and the standard controller.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"34 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134907798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multi‐objective optimal power flow using grasshopper optimization algorithm","authors":"Barun Mandal, Provas Kumar Roy","doi":"10.1002/oca.3065","DOIUrl":"https://doi.org/10.1002/oca.3065","url":null,"abstract":"Summary This paper introduces grasshopper optimization algorithm to efficiently prove its superiority in the optimal power flow problem. To demonstrate the efficiency of the proposed algorithm, it is implemented on the standard IEEE 30‐bus, IEEE 57‐bus, and IEEE 118‐bus test systems with different objectives that reveal presentation indices of the power system. Twelve different cases, in single and multi‐objective optimization space, are considered on different curves of fuel cost, environmental pollution emission, voltage profile, and active power loss. The simulation results obtained from grasshopper optimization algorithm techniques are compared to other new evolutionary optimization methods surfaced in the current state‐of‐the‐art literature. It is revealed that the proposed approach secures better consequence over the other newly originated popular optimization techniques and reflects its improved quality solutions and faster convergence speed. The results obtained in this work demonstrate that the grasshopper optimization algorithm method can successfully be applied to solve the non‐linear problems connected to power systems.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134902398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}