Optimal Control Applications and Methods最新文献

{"title":"Chaotic butterfly optimization algorithm based cascaded PI‐TID controller for frequency control in three area hybrid microgrid system","authors":"Mausri Bhuyan, D. C. Das, A. Barik","doi":"10.1002/oca.2994","DOIUrl":"https://doi.org/10.1002/oca.2994","url":null,"abstract":"The work represents a unique methodology for control of frequency in three area independent and interconnected hybrid microgrid systems. The proposed hybrid microgrids consist of solar chimney (SC), combined solar gas turbine (CSGT), bio‐diesel operated generator (BDOG), DC link, energy storage units such as battery energy storage unit (BESU), super‐magnetic energy storage unit (SMESU), and redox flow battery (RFB) based. Integration of generating units such as SC, CSGT, BDOG, SMESU, RFB, and DC link in three area hybrid microgrid is also a unique work. A newly developed chaotic butterfly optimization algorithm (CBOA) is applied so as to obtain the optimized standards of the cascaded PI‐TID controller employed with dispatchable generating units. Comparative analysis of different algorithms and controllers is achieved to establish the dominance of the anticipated control strategy. The impact of each component on the system is examined while taking into account various real‐time scenarios. Finally, the efficacy of cascaded PI‐TID controller tuned using CBOA is established by sensitivity analysis with significant changes in source and load circumstances.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123493475","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 mesh‐based partitioning algorithm for decreasing conservatism in solving bilinear matrix inequality problems","authors":"H. Javanmardi, M. Dehghani, Mohsen Mohammadi, M. Hesamzadeh","doi":"10.1002/oca.2993","DOIUrl":"https://doi.org/10.1002/oca.2993","url":null,"abstract":"In this paper, a mesh‐based partitioning algorithm (MBPA) to solve bilinear matrix inequality (BMI) problems is proposed, where the main idea is to divide the solution space of a non‐convex BMI problem into smaller parts in the form of Simplexes through meshing the space. In each simplex, only the concave part of BMI constraints is approximated by piecewise affine matrix (PAM), which eventually leads to a convex sub‐problem. After that, the feasible solution can be easily obtained in each simplex through the linear matrix inequality (LMI) optimization. Although the proposed MBPA exploits PAM approximation, it relaxes several restrictive conditions used in other methods, so, it can be used as an effective approach for solving BMI problems. Various numerical examples on systems from COMPleib library to design static output feedback controller are provided to validate the proposed MBPA. Simulation results reveal the satisfactory performance of MBPA in several examined problems and provide acceptable performance compared to other existing BMI solution algorithms. Comparing the percentage of superiority of MBPA with some existing prominent BMI algorithms in several control problems including spectral abscissa optimization problems, H∞$$ {H}_{infty } $$ and H2$$ {H}_2 $$ optimization problems for the closed‐loop systems of COMPleib show that the proposed algorithm is more successful than the previous ones.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133446670","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 tracking control for blast furnace molten iron quality based on subspace identification and Krotov's method","authors":"Yue-qiang Liu, P. Zhou","doi":"10.1002/oca.2992","DOIUrl":"https://doi.org/10.1002/oca.2992","url":null,"abstract":"Blast furnace ironmaking is a complex nonlinear dynamic process, which has strict requirements on the quality of final molten iron. To improve the control effect of molten iron quality, this paper proposes an optimal tracking control method for molten iron quality based on the bilinear subspace identification and Krotov's method. First, a state space model between key process variables and blast furnace molten iron quality, using the bilinear subspace identification method, is established based on actual industrial data. Then, an augmented system is established combining the state vector and the reference trajectory, and the improving feedback controller is designed by solving a set of Riccati equations, which are established based on Krotov's method. In combination with the designed controller and the established system, the specific implementation steps are proposed. Finally, the effectiveness and advancement of the proposed method are verified based on actual industrial data of a large blast furnace.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130858044","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":"Stochastic optimal control problems of discrete‐time Markov jump systems","authors":"Teng Song","doi":"10.1002/oca.2991","DOIUrl":"https://doi.org/10.1002/oca.2991","url":null,"abstract":"In this paper, we consider the indefinite stochastic optimal control problems of discrete‐time Markov jump linear systems. Firstly, we establish the new stochastic maximum principle, and by solving the forward‐backward stochastic difference equations with Markov jump (FBSDEs‐MJ), we derive the necessary and sufficient solvability condition of the indefinite control problem with non‐discounted cost, which is in an explicit analytical expression. Then, the optimal control is designed by a series of coupled generalized Riccati difference equations with Markov jump (GRDEs‐MJ) and linear recursive equations with Markov jump (LREs‐MJ). Moreover, based on the non‐discounted cost case, we deduce the optimal control problem with discounted cost. Finally, a numerical example for defined‐benefit (DB) pension fund with regime switching is exploited to illustrate the validity of the obtained results.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"492 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117163166","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":"Output tracking control for 2‐D discrete systems with actuator failures","authors":"Khalid Badie, Z. Chalh, M. Alfidi","doi":"10.1002/oca.2990","DOIUrl":"https://doi.org/10.1002/oca.2990","url":null,"abstract":"This article is concerned with the reliable output tracking control problem for a class of two‐dimensional (2‐D) discrete systems with actuator faults. The systems are described by the well‐known Roesser model. The aim of the problem addressed is to design a reliable controller such that the output of the 2‐D discrete systems tracks the output of a given reference model well in the H∞$$ {H}_{infty } $$ sense. By resorting to a Lyapunov function and some zero equations, a new criterion on H∞$$ {H}_{infty } $$ tracking performance analysis is presented. This criterion is then applied to design the tracking controller, for both cases known and unknown actuator failures. Finally, two examples are given to illustrate the effectiveness of the proposed method.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124050370","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":"Data‐based learning control for optimization of nonlinear systems","authors":"Qinglai Wei, Ruizhuo Song, Pinjia Zhang, Zongze Wu","doi":"10.1002/oca.2979","DOIUrl":"https://doi.org/10.1002/oca.2979","url":null,"abstract":"With the development of science and technology, practical systems such as the power systems, traffic systems, robot manipulator systems, etc., have become more complex. Therefore, it is difficult to build practical systems by accurate models. Under the lack of accurate process models, using system data to improve system performance and learn optimal decisions becomes very important. Through the recent years, data-based learning control theories and technologies have widely been investigated, including adaptive dynamic programming, reinforcement learning, iterative learning control, and so on. Data-based methods require the system data instead of the accurate knowledge of system dynamics that can be considered as model-free learning control methods. The data-based methods are effective solutions for the optimal control of nonlinear systems, which motivate this special issue. This special issue aims to collect and present original research dealing with data-based learning and their applications for optimization and control problems. The first group of papers1-7 focuses on data-based control theory, approaches, and applications. A fuzzy model predictive control approach is proposed for stick-slip type piezoelectric actuator to realize the precise control of the end effector.1 A systematic online adaptive dynamic programming control framework is proposed for smart buildings control to ensure hard constraints to be satisfied.2 A multi-verse optimizer tuned PI-type active disturbance rejection generalized predictive control method is described for the motion control problems of ships.3 The sufficient optimality conditions for the optimal controls are established under some convexity assumptions.4 A receding-horizon reinforcement learning algorithm is proposed for near-optimal control of continuous-time systems under control constraints.5 In order to solve the interference compensation control problem of a class of nonlinear systems, a method based on memory data is introduced to suppress interference greatly.6 A new controller design method is proposed for the trajectory tracking problem of robots with imprecise dynamic properties and interference.7 The second group of papers8-12 considers iterative learning identification and iterative learning control. An iterative learning control approach is proposed for linear parabolic distributed parameter systems with multiple actuators and multiple sensors.8 The quantized data-based iterative learning tracking control problem is studied for nonlinear networked control systems with signals quantization and denial-of-service attacks.9 The output tracking problem is considered for a class of nonlinear parabolic distributed parameter systems with moving boundaries.10 A just-in-time learning based dual heuristic programming algorithm is proposed to optimize the control performance of autonomous wheeled mobile robots under faults or disturbances.11 A novel optimal constraint-following controller is proposed for unce","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"29 11 Suppl 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122244031","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":"New results on finite‐time guaranteed cost control of uncertain polytopic fractional‐order systems with time‐varying delays","authors":"N. T. Thanh, Mai Viet Thuan, Tran Ngoc Tuan","doi":"10.1002/oca.2989","DOIUrl":"https://doi.org/10.1002/oca.2989","url":null,"abstract":"This article deals with the problem of finite time guaranteed cost control for uncertain polytopic fractional‐order systems with time‐varying delays. A linear quadratic cost function is considered as a performance measure for the closed‐loop system. By using Laplace transform and linear matrix inequalities (LMIs), a guaranteed cost controller design is presented and sufficient conditions for the existence of a finite time guaranteed cost state‐feedback control for the system are given in terms of LMIs. Two numerical examples are given to illustrate the effectiveness of the obtained result.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"355 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122176100","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":"Distributed optimal resource allocation with second‐order multi‐Agent systems","authors":"H. Tian, Nanxiang Yu, Wei Zhu","doi":"10.1002/oca.2983","DOIUrl":"https://doi.org/10.1002/oca.2983","url":null,"abstract":"This paper studies the resource allocation problems with second‐order multi‐agent systems under the constraint of the global network resource. A novel distributed continuous‐time algorithm, which only uses the local information, is proposed. By using matrix transform and differential inequality technique, the exponential convergence is obtained under the undirected and connected graph. To reduce energy consumption and communication costs, a distributed event‐triggered algorithm is designed. It is proved that not only this algorithm converges exponentially to the optimal allocation, but also the event‐triggered time sequence does not exhibit Zeno‐behavior. Finally, numerical examples illustrate the effectiveness of theoretical results.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121838954","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":"Data filtering‐based parameter estimation algorithms for a class of nonlinear systems with colored noises","authors":"Chen Zhang, Yang Liu, Li Li, Fazhi Song","doi":"10.1002/oca.2985","DOIUrl":"https://doi.org/10.1002/oca.2985","url":null,"abstract":"This article studies the data filtering‐based identification algorithms for a class of nonlinear system with autoregressive noise. By means of the data filtering technique and the hierarchical identification principle, the identification model is transformed into two sub‐identification models, and a filtering hierarchical gradient‐based iterative algorithm is proposed for improving parameter estimation accuracy and reducing computational burden. Meanwhile, to further improve the identification performance, the multi‐innovation identification theory is used to derived the filtering hierarchical multi‐innovation gradient‐based iterative algorithm. The gradient‐based iterative algorithm is given for comparison. The analysis shows that the filtering hierarchical gradient‐based iterative algorithm has smaller computational burden and can give more accurate parameter estimates than the gradient‐based iterative algorithm, and the filtering hierarchical multi‐innovation gradient‐based iterative algorithm can track time‐varying parameters based on the dynamical window data. Finally, the example part is provided to verify the effectiveness of the proposed algorithms.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122650838","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":"Synchronization for a class of discrete complex dynamical networks in presence of Markov jump topology and actuator saturation","authors":"S. Natarajan, Pallavi Subramani","doi":"10.1002/oca.2987","DOIUrl":"https://doi.org/10.1002/oca.2987","url":null,"abstract":"This work addresses the synchronization problem for discrete complex dynamical networks (CDNs) that are associated with Markov jump outer coupling, parameter uncertainties, actuator saturation, and time delay. Especially, the uncertainties which occur in the inner coupling matrix are categorized with the use of the interval matrix approach. The main purpose of this work is to design an appropriate state feedback controller with a saturation effect that guarantees asymptotic synchronization and also satisfy a prescribed level of mixed H∞ and passivity performance for the addressed CDNs. Moreover, a new set of adequate criteria are expressed in the form of linear matrix inequalities to synchronize the considered network plant. The above synchronization criteria are retrieved with the support of an appropriate Lyapunov–Krasovskii functional, Kronecker product properties together with Jensen's inequality and Abel lemma. Eventually, the efficiency and superiority of our proposed synchronization criteria are demonstrated through two numerical examples.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128923119","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}