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Optimal Control Applications and Methods最新文献

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Stochastic maximum principle for discrete time mean‐field optimal control problems 离散时间平均场最优控制问题的随机极大值原理
Optimal Control Applications and Methods Pub Date : 2023-08-09 DOI: 10.1002/oca.3042
Arzu Ahmadova, N. Mahmudov
{"title":"Stochastic maximum principle for discrete time mean‐field optimal control problems","authors":"Arzu Ahmadova, N. Mahmudov","doi":"10.1002/oca.3042","DOIUrl":"https://doi.org/10.1002/oca.3042","url":null,"abstract":"This article studies optimal control of a discrete‐time stochastic differential equation of mean‐field type with coefficients dependent on function of the law and state of the process. A new version of the maximum principle for discrete‐time mean‐field type stochastic optimal control problems is established, using new discrete‐time mean‐field backward stochastic equations. The cost functional is also of mean‐field type. The study derives necessary first‐order and sufficient optimality conditions using adjoint equations that take the form of discrete‐time backward stochastic differential equations with a mean‐field component. An optimization problem for production and consumption choice is used as an example.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122120583","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}
引用次数: 1
Infinite‐horizon optimal control for networked control systems with Markovian packet losses 具有马尔可夫包丢失的网络控制系统的无限视界最优控制
Optimal Control Applications and Methods Pub Date : 2023-08-06 DOI: 10.1002/oca.3045
Hongxia Wang, Zi-Cheng Li, Tao Liu, Xiao Liang
{"title":"Infinite‐horizon optimal control for networked control systems with Markovian packet losses","authors":"Hongxia Wang, Zi-Cheng Li, Tao Liu, Xiao Liang","doi":"10.1002/oca.3045","DOIUrl":"https://doi.org/10.1002/oca.3045","url":null,"abstract":"This article is concerned with the infinite‐horizon optimal control for networked control systems with Markovian packet losses. We focus on the case that packet losses may occur in an unreliable communication channel between the sensor and the controller. This sort of packet loss enables the optimal control problem to fall into the category of optimal output‐feedback control. Also, the output involves multiplicative noise. As well known, the separation principle fails to hold in a multiplicative‐noise setting. Thus the problem is very involved. By solving forward and backward stochastic difference equations and making convergence analysis, we acquire the necessary and sufficient solvability condition and the explicit optimal controller. The achieved results are illustrated by numerical examples.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"509 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113995690","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}
引用次数: 0
Robust integral controller design based on composite nonlinear feedback in uncertain systems with constrained inputs and external disturbances 具有约束输入和外部干扰的不确定系统中基于复合非线性反馈的鲁棒积分控制器设计
Optimal Control Applications and Methods Pub Date : 2023-08-06 DOI: 10.1002/oca.3044
Hamid Badruh, V. Ghaffari, Amin Torabi Jahromi
{"title":"Robust integral controller design based on composite nonlinear feedback in uncertain systems with constrained inputs and external disturbances","authors":"Hamid Badruh, V. Ghaffari, Amin Torabi Jahromi","doi":"10.1002/oca.3044","DOIUrl":"https://doi.org/10.1002/oca.3044","url":null,"abstract":"In this article, to enhance the transient performances in constrained uncertain systems, a control technique based on linear matrix inequality (LMI) is characterized to the robust integral composite nonlinear feedback (CNF) controller design. To achieve this aim, considering the inputs limitations and the uncertainties, the regulation is transformed into a minimization subjected to several LMIs. Solving an optimization in real‐time, the gains of the controller are calculated. So, the regulation and the disturbance rejection are effectively handled employing the presented control law. Compared with the existing integral methodology, the provided simulations validate the applicability of the robust integral CNF control law in uncertain systems.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128918072","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}
引用次数: 0
Stabilization of the chemostat system with mutations and application to microbial production 突变恒化系统的稳定及其在微生物生产中的应用
Optimal Control Applications and Methods Pub Date : 2023-07-27 DOI: 10.1002/oca.3041
T. Bayen, J. Coville, F. Mairet
{"title":"Stabilization of the chemostat system with mutations and application to microbial production","authors":"T. Bayen, J. Coville, F. Mairet","doi":"10.1002/oca.3041","DOIUrl":"https://doi.org/10.1002/oca.3041","url":null,"abstract":"In this paper, we consider the chemostat system with n ≥ 1 species, one limiting substrate, and mutations between species. Our objective is to globally stabilize the corresponding dynamical system around a desired equilibrium point. Doing so, we introduce auxostat feedback controls which are controllers allowing the regulation of the substrate concentration. We prove that such feedback controls globally stabilize the resulting closed-loop system near the desired equilibrium point. This result is obtained by combining the theory of asymptotically autonomous systems and an explicit computation of solutions to the limit system. The performance of such controllers is illustrated on an optimal control problem of Lagrange type which consists in maximizing the production of species over a given time period w.r.t. the dilution rate chosen as control variable.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"166 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115319917","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}
引用次数: 0
Optimal tracking control for discrete‐time modal persistent dwell time switched systems based on Q‐learning 基于Q学习的离散时间模态持久驻留时间切换系统的最优跟踪控制
Optimal Control Applications and Methods Pub Date : 2023-07-24 DOI: 10.1002/oca.3040
Xuewen Zhang, Yun Wang, Jianwei Xia, Feng Li, Hao Shen
{"title":"Optimal tracking control for discrete‐time modal persistent dwell time switched systems based on Q‐learning","authors":"Xuewen Zhang, Yun Wang, Jianwei Xia, Feng Li, Hao Shen","doi":"10.1002/oca.3040","DOIUrl":"https://doi.org/10.1002/oca.3040","url":null,"abstract":"Based on the Q‐learning, this paper investigates the tracking problem for linear discrete‐time modal persistent dwell time switched systems. The modal persistent dwell time switching rule is introduced to coordinate the switching conditions of each switching subsystems. Moreover, two algorithms are given to realize the optimization of switched systems. Then, the stability and convergence are proved. Finally, a numerical simulation example and a practical example with an electro‐hydraulic system are given to verify the effectiveness of the proposed approach.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130577631","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}
引用次数: 0
Maximum principle for mean‐field controlled systems driven by a fractional Brownian motion 分数布朗运动驱动的平均场控制系统的最大原理
Optimal Control Applications and Methods Pub Date : 2023-07-21 DOI: 10.1002/oca.3039
Yifang Sun
{"title":"Maximum principle for mean‐field controlled systems driven by a fractional Brownian motion","authors":"Yifang Sun","doi":"10.1002/oca.3039","DOIUrl":"https://doi.org/10.1002/oca.3039","url":null,"abstract":"We study a stochastic control problem of mean‐field controlled stochastic differential systems driven by a fractional Brownian motion with Hurst parameter H∈(1/2,1)$$ Hin left(1/2,1right) $$ . As a necessary condition of the optimal control we obtain a stochastic maximum principle. The associated adjoint mean‐field backward stochastic differential equation driven by a fractional Brownian motion and a classical Brownian motion. Applying the stochastic maximum principle to a mean‐field stochastic linear quadratic problem, we obtain the optimal control and prove that the necessary condition for the optimality of an admissible control is also sufficient under certain assumptions.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128436738","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}
引用次数: 0
Design of gorilla troops optimizer‐tuned 2DOF‐PID controller to improve the frequency response of centralized‐control technical virtual power plant 为改善集中控制技术虚拟电厂的频率响应，设计了大猩猩部队优化器-调谐2DOF - PID控制器
Optimal Control Applications and Methods Pub Date : 2023-07-18 DOI: 10.1002/oca.3037
R. Abishek, Das Dulal Chandra
{"title":"Design of gorilla troops optimizer‐tuned 2DOF‐PID controller to improve the frequency response of centralized‐control technical virtual power plant","authors":"R. Abishek, Das Dulal Chandra","doi":"10.1002/oca.3037","DOIUrl":"https://doi.org/10.1002/oca.3037","url":null,"abstract":"This work presents an enhanced frequency control model of a centralized‐control technical virtual power plant (TVPP) with distributed energy resources (DERs). To provide frequency control support, a centralized TVPP is exposed to communication delays because of the numerous message exchanges between the grid operator, the VPP operator, and the DERs. The VPP operator also imposes dead band restrictions on the droop control signal to avoid frequent activation of sensitive DERs. The literature lacks the frequency control models of VPP that can handle these delay and dead‐band issues. This work attempts to incorporate frequency dead‐band and communication delays in the primary (droop control) and secondary control (ACE control) loop for the DERs in the VPP. In addition, a control approach based on 2DOF‐PID controllers tuned by a recently developed artificial gorilla troops optimizer (GTO) is employed to control the frequency of the VPP model. The GTO algorithm performs better on comparative assessment than the other classical optimization algorithms. Under dynamic performance evaluation, the 2DOF‐PID controller outperforms the GTO‐optimized PID and PI controllers. Finally, the sensitivity analysis results show that the proposed GTO‐optimized 2DOF‐PID controller for the VPP model is robust against uncertainties in the system.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122493289","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}
引用次数: 0
Frequency stabilization of hybrid power system using robust secondary controller 基于鲁棒二次控制器的混合电力系统稳频
Optimal Control Applications and Methods Pub Date : 2023-07-18 DOI: 10.1002/oca.3038
Zahid Farooq, A. Rahman, S. A. Lone
{"title":"Frequency stabilization of hybrid power system using robust secondary controller","authors":"Zahid Farooq, A. Rahman, S. A. Lone","doi":"10.1002/oca.3038","DOIUrl":"https://doi.org/10.1002/oca.3038","url":null,"abstract":"In regards to present power system setup, this article presents a frequency stabilization of hybrid power system (HPS) assimilated with distributed generation (DG) resources, conventional thermal, geo‐thermal and electric vehicle (EV). The insertion of appropriate system non‐linearities in addition to the intermittency in renewable based generation sources leads to a more practicality into the developed HPS. For such systems, a vigorous control action with swift responding controllable device are an instantaneous requirement. In this view, a cascaded fractional order proportional‐derivative (foPD)‐multi‐stage fractional order proportional integral derivative (MSfoPID) (cascaded foPD‐MSfoPID) as secondary controller is explored for frequency stabilization of HPS. Further, the established power system is provided with erratic load deviations. The influence of EVs on frequency and tie‐line power fluctuations are examined comprehensively. Moreover, the outcome of unified power flow controller (UPFC) device as flexible AC transmission system (FACT) device for system dynamic control are illustrated. Further, sensitivity examination is exhibited to examine the resiliency of proposed cascaded foPD‐MSfoPID controller parameters for deviances in solar irradiance and number of vehicles. Finally, a proposed secondary controller is tested in case studies on standard IEEE‐39 bus system and four‐area hybrid power system.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132794822","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}
引用次数: 0
Distributed fusion robust filter for multisensor networked singular control system with uncertain variances and missing measurement 方差不确定和测量缺失的多传感器网络奇异控制系统的分布式融合鲁棒滤波
Optimal Control Applications and Methods Pub Date : 2023-07-12 DOI: 10.1002/oca.3026
Jiayi Zheng, C. Ran
{"title":"Distributed fusion robust filter for multisensor networked singular control system with uncertain variances and missing measurement","authors":"Jiayi Zheng, C. Ran","doi":"10.1002/oca.3026","DOIUrl":"https://doi.org/10.1002/oca.3026","url":null,"abstract":"A distributed fusion time‐varying robust filtering algorithm for multisensor networked singular control system is studied in this paper, mainly aiming at the system with missing measurement and uncertain variances in practical application. First, the singular value decomposition (SVD) method and de‐randomization method are used to transform the singular control system into a standard system only with uncertain variances. Based on the new standard system, a minimax robust local Kalman filter is proposed by using the minimax robust estimation principle, which ensures that the actual filtering error variance has the corresponding minimum upper bound for all allowable uncertainties. Further, the robust local and distributed fusion filters for original singular control systems are proposed, and the actual and conservative filtering error variances are obtained. Their robustness is proved by Lyapunov equation method and nonnegative definite matrix decomposition method. A simulation example of two‐loop system verifies the effectiveness of the proposed results.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132055031","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}
引用次数: 0
Efficiency analysis of six‐phase induction motor drive using an optimized SVM technique for medium/high power applications 使用优化的支持向量机技术对中/高功率应用的六相感应电机驱动进行效率分析
Optimal Control Applications and Methods Pub Date : 2023-07-10 DOI: 10.1002/oca.3036
V. Rathore, K. Yadav
{"title":"Efficiency analysis of six‐phase induction motor drive using an optimized SVM technique for medium/high power applications","authors":"V. Rathore, K. Yadav","doi":"10.1002/oca.3036","DOIUrl":"https://doi.org/10.1002/oca.3036","url":null,"abstract":"The proposed work presents the efficiency evaluation of a six‐phase induction motor drive (SPIMD) using an optimized space‐vector modulation (SVM) scheme for medium/high power applications. An optimized SVM is obtained by resolving 5‐level hexagons into outer and inner 2‐level hexagons. In the proposed work, dual three‐phase inverters are used to drive the SPIMD, by dividing six‐phase into two, greatly reducing the calculation time, complexity, and efforts required in building the space vector control algorithm. Moreover, a comparative efficiency analysis of SPIMD using the proposed and conventionally designed SVM technique implemented with closed‐loop control is presented in this paper. Matlab/Simulink platform is used to simulate the proposed system and a prototype is developed as a proof of concept and tested experimentally to verify the analytical developments. Finally, a total harmonic distortion (THD) based comparative analysis of the proposed, conventional, and carrier‐based modulation techniques is also presented.","PeriodicalId":105945,"journal":{"name":"Optimal Control Applications and Methods","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129956177","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}
引用次数: 0
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