Optimal Control Applications and Methods最新文献

{"title":"Optimum control of under‐grate pressure of clinker cooler by optimizing the proportional integral derivative controller parameters using honey badger algorithm technique","authors":"Z. Brijet, T. Suresh","doi":"10.1002/oca.3018","DOIUrl":"https://doi.org/10.1002/oca.3018","url":null,"abstract":"The minimum air pressure necessary at the grate to penetrate a bed of heated clinker of a certain thickness and permeability is known as under‐grate pressure. It is vital to keep the under‐grate pressure consistent because excessive pressure causes the clinker to form an unstable suspension and minimum pressure allows heat from the clinker to harm the cooler grates. So it is necessary to obtain excellent performance through reasonable control methods. For this purpose, this article proposes an optimization approach for a proportional integral derivative (PID) controller to control the pressure below the grate of the clinker cooler. The proposed optimization approach is the honey badger algorithm (HBA), which mimics the feeding habits of honey badgers. The main aim of proposed approach is to maintain and regulate under‐grate pressure of clinker cooler using HBA and provide optimum cooling rate to clinker. The proposed approach based grate cooler also provide the less electricity consumption and stable temperature. The proposed technique is implemented in MATLAB and its efficiency is compared to various existing techniques. From the simulation, the electricity consumption of proposed approach RMSE is 158 and mean accuracy is 98.65. Under‐grate pressure based RMSE is 5.01 and the mean accuracy become 99.55. The outlet temperature based RMSE of proposed approach is 4.32 and mean accuracy is 81.21. These values are lower than existing approaches, it reveals the proposed approach is better than the existing one.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122515266","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 novel whale optimization smith predictor based on feedforward compensation for controlling wave rotor refrigeration process","authors":"Qi Li, Menghan Yang, Wei Ba, Fan Wang, Xiaopeng Hu","doi":"10.1002/oca.3021","DOIUrl":"https://doi.org/10.1002/oca.3021","url":null,"abstract":"Aiming at the difficulty of temperature control and disturbance rejection control in wave rotor refrigeration process (WRRP), a novel whale optimization two‐degree‐of‐freedom (2DOF) Smith predictor based on feedforward compensation method (WO‐2DOFSP‐FC) is proposed. Firstly, the obtained test data of the WRRP are used for system identification and the approximate second‐order model with time‐delay is obtained by using the suboptimal reduction algorithm. This procedure also yields a first‐order model of the disturbance. Then, the whale optimization 2DOF Smith predictor based on feedforward compensation (2DOFSP‐FC) method is proposed. This proposed method improves the 2DOFSP and introduces feedforward compensation control to reduce the influence of the measurable disturbance on the temperature control system. In addition, the Whale Optimization Algorithm (WOA) is proposed to optimally tune the 2DOFSP‐FC controller parameters. Finally, the simulation results show that the proposed WO‐2DOFSP‐FC method can make the controlled system have good characteristics of both set value tracking and disturbance rejection.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134401912","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":"Optimal consensus control for double‐integrator multiagent systems with unknown dynamics using adaptive dynamic programming","authors":"Qi Zhang, Yang Yang, Xue Song, Xiaoran Xie, Naibo Zhu, Zhi Liu","doi":"10.1002/oca.3014","DOIUrl":"https://doi.org/10.1002/oca.3014","url":null,"abstract":"The purpose of this article is to utilize adaptive dynamic programming to solve an optimal consensus problem for double‐integrator multiagent systems with completely unknown dynamics. In double‐integrator multiagent systems, flocking algorithms that neglect agents' inertial effect can cause unstable group behavior. Despite the fact that an inertias‐independent protocol exists, the design of its control law is decided by dynamics and inertia. However, inertia in reality is difficult to measure accurately, therefore, the control gain in the consensus protocol was solved by developing adaptive dynamic programming to enable the double‐integrator systems to ensure the consensus of the agents in the presence of entirely unknown dynamics. Firstly, we demonstrate in a typical example how flocking algorithms that ignore the inertial effect of agents can lead to unstable group behavior. And even though the protocol is independent of inertia, the control gain depends quite strongly on the inertia and dynamic of the agent. Then, to address these shortcomings, an online policy iteration‐based adaptive dynamic programming is designed to tackle the challenge of double‐integrator multiagent systems without dynamics. Finally, simulation results are shown to prove how effective the proposed approach is.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130003903","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":"Mathematical modeling of COVID‐19 and Omicron outbreak spread: Optimal control approach for intervention strategies","authors":"M. Amouch, N. Karim","doi":"10.1002/oca.3019","DOIUrl":"https://doi.org/10.1002/oca.3019","url":null,"abstract":"In Morocco, 966,777 confirmed cases and 14,851 confirmed deaths because of COVID‐19 were recorded as of January 1, 2022. Recently, a new strain of COVID‐19, the so‐called Omicron variant, was reported in Morocco, which is considered to be more dangerous than the existing COVID‐19 virus. To end this ongoing global COVID‐19 pandemic and Omicron variant, there is an urgent need to implement multiple population‐wide policies like vaccination, testing more people, and contact tracing. To forecast the pandemic's progress and put together a strategy to effectively contain it, we propose a new hybrid mathematical model that predicts the dynamics of COVID‐19 in Morocco, considering the difference between COVID‐19 and the Omicron variant, and investigate the impact of some control strategies on their spread. The proposed model monitors the dynamics of eight compartments, namely susceptible (S)$$ (S) $$ , exposed (E)$$ (E) $$ , infected with COVID‐19 (I)$$ (I) $$ , infected with Omicron (IO)$$ left({I}_Oright) $$ , hospitalized (H)$$ (H) $$ , people in intensive care units (U)$$ (U) $$ , quarantined (Q)$$ (Q) $$ , and recovered (R)$$ (R) $$ , collectively expressed as SEIIOHUQR$$ SEI{I}_O HUQR $$ . We calculate the basic reproduction number ℛ0$$ {mathcal{R}}_0 $$ , studying the local and global infection‐free equilibrium stability, a sensitivity analysis is conducted to determine the robustness of model predictions to parameter values, and the sensitive parameters are estimated from the real data on the COVID‐19 pandemic in Morocco. We incorporate two control variables that represent vaccination and diagnosis of infected individuals and we propose an optimal strategy for an awareness program that will help to decrease the rate of the virus' spread. Pontryagin's maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, extensive numerical simulations are employed with and without controls to illustrate our results using MATLAB software. Our results reveal that achieving a reduction in the contact rate between uninfected and infected individuals by vaccinating and diagnosing the susceptible individuals, can effectively reduce the basic reproduction number and tends to decrease the intensity of epidemic peaks, spreading the maximal impact of an epidemic over an extended period of time. The model simulations demonstrate that the elimination of the ongoing SARS‐COV‐2 pandemic and its variant Omicron in Morocco is possible by implementing, at the start of the pandemic, a strategy that combines the two variables of control mentioned above. Our predictions are based on real data with reasonable assumptions.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126018516","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":"Observer‐based dynamic ETC optimized tracking of nonlinear systems with stochastic disturbances","authors":"Hao Zhu, Yuanxin Li, Shaocheng Tong","doi":"10.1002/oca.3020","DOIUrl":"https://doi.org/10.1002/oca.3020","url":null,"abstract":"","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126435195","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":"Quadratic covariance‐constrained filtering for linear and non‐linear systems with non‐Gaussian noises","authors":"Elham Javanfar, Mehdi Rahmani","doi":"10.1002/oca.3015","DOIUrl":"https://doi.org/10.1002/oca.3015","url":null,"abstract":"This study considers a robust quadratic covariance‐constrained filtering problem for discrete time‐varying linear and non‐linear dynamic systems with non‐Gaussian noises. Non‐Gaussian noises are presumed to be unknown, bounded, and limited in a specified ellipsoidal set. In this approach, first, a general standard linear form of the filter is introduced for state estimation in linear dynamic systems. The filter gain is obtained by minimizing the upper bound of the estimation error's covariance matrix. The Lyapunov theory demonstrates the stability of this filter. Second, we extend the proposed filtering approach to non‐linear dynamic systems that are considered as a combination of linear and non‐linear terms. The Lipschitz‐like condition is assumed for the non‐linear part. A new filter structure is proposed in this case and the filter gain is obtained by the same idea to minimize the upper bound of the error's covariance matrix. Finally, four numerical examples are presented to signify the effectiveness and performance of the proposed filters for linear and non‐linear systems.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115243020","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":"Optimal location of micro‐phasor measurement units in distribution system control, monitoring, and protection using hybrid technique","authors":"A. Raqib, Hussain M. K. Elango, A. R. Hussain","doi":"10.1002/oca.3007","DOIUrl":"https://doi.org/10.1002/oca.3007","url":null,"abstract":"This manuscript proposes a hybrid technique for the optimum location of micro‐phasor measurement units (μ‐PMUs) in the distribution system (DS).The proposed hybrid approach is the wrapper of dwarf mongoose optimizer (DMO) and pelican optimization algorithm (POA). The updating behavior of DMO is improved by the POA; therefore, it is called DMO‐POA approach. The main aim of the proposed approach is to avoid discontinuity of supply and minimizes the count of PMDs to reduce cost and attain the maximal count of measurement‐redundancy that is limited to full‐system observability for IEEE bus‐system in zero injection nodes (ZINs) and tie‐switches. The proposed approach considered the optimum count of μ‐PMUs is needed for the thorough distribution system economy, observability, and the reliability measure. The proposed approach considers the distribution of PMUs in the reconfiguration of smart‐distribution‐grids, ZINs and communication system requirements. Here, the objective‐function is aiming at minimizing the costs of reliability and capital. The proposed method uses the infrastructure of communication cost to simultaneously co‐optimize the system switching strategy and find the optimal sites for PMUs. The performance of the proposed technique is tested in different test‐systems, like IEEE‐14 bus, 13, 34, 37, and 123 buses and the performance is executed by comparing it with the existing approaches. Furthermore, the proposed system is effectual to find an optimal solution with less computation and decreases the complexity of the algorithm.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132098081","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":"On the optimal control problem for a model of the synergy of chemo‐ and immunotherapy","authors":"U. Ledzewicz, H. Schättler","doi":"10.1002/oca.3016","DOIUrl":"https://doi.org/10.1002/oca.3016","url":null,"abstract":"","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122284145","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":"Zero‐sum game optimal control for the nonlinear switched systems based on heuristic dynamic programming","authors":"Xingjian Fu, Zizheng Li","doi":"10.1002/oca.3005","DOIUrl":"https://doi.org/10.1002/oca.3005","url":null,"abstract":"In this article, the zero‐sum game problem of control and disturbance is studied for discrete affine nonlinear switched systems with unknown dynamical models. A two‐level heuristic dynamic programming iterative algorithm for solving the zero‐sum game problem is proposed, which can be used to solve the Hamilton‐Jacobi‐Isaacs equation associated with the optimal regulation control problem. The convergence analysis based on the value function and control strategy is given. For algorithm implementation, neural networks are used to approximate the control strategy, disturbance strategy, and value function of the game dynamic programming, respectively. A model network is used to approximate the system states with an unknown dynamical model. The iterative algorithm steps are given. Finally, the validity of the method is verified by simulation examples.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127562092","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":"Nonlinear analysis and dynamics of COVID‐19 mathematical model with optimal control strategies","authors":"Sumathi Muthukumar, K. Myilsamy, Abilasha Balakumar, Veeramani Chinnadurai","doi":"10.1002/oca.3006","DOIUrl":"https://doi.org/10.1002/oca.3006","url":null,"abstract":"Efficacy of the healthcare system and illumination (awareness) activities control COVID‐19. To defend public health, the spreading pandemic of COVID‐19 disease necessitates social distancing, wearing masks, personal cleanliness, and precautions. Due to inadequate awareness programs, COVID‐19 rapidly increases in India. The primary goal of this research is to investigate the spreading behavior of the COVID‐19 virus in India when people are aware of the disease. We find the optimum value of disease transmission rate and detection of the unidentified asymptomatic and symptomatic populations. An optimal control problem is designed with limited resource allocation to improve the recovered individuals. A stability analysis presents for emphasizes the relevance of disease awareness in preventing the spread of the disease. The control parameters are used to explore the increase and decrease of the infected individual with and without control in optimal control analysis. The model is simulated using the Hattaf‐fractional derivative to study the memory effect in the epidemic. To adapt the model to the total number of reported COVID‐19 cases in India, we collected data from March 20, 2021 to September 30, 2021. According to the simulation results, the pandemic would spread faster if awareness campaigns were improperly carried out.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125972349","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}