{"title":"Eigenvector Method for the Hamiltonian Approach","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/B15929-10","DOIUrl":"https://doi.org/10.1201/B15929-10","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"74 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83987903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hamiltonian Method for Steady State Optimal Control and Filtering","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/b15929-12","DOIUrl":"https://doi.org/10.1201/b15929-12","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"21 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87429494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Quasi-Weakly Coupled Linear Control Systems","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/B15929-3","DOIUrl":"https://doi.org/10.1201/B15929-3","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"14 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82286220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Decoupling Transformation, Lyapunov Equation, and Boundary Value Problem","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/B15929-5","DOIUrl":"https://doi.org/10.1201/B15929-5","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"3 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72850960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Time Optimal Control via Hamiltonian Method","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/B15929-8","DOIUrl":"https://doi.org/10.1201/B15929-8","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"378 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80305063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nash Differential Games","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/b15929-9","DOIUrl":"https://doi.org/10.1201/b15929-9","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"2008 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82572854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic Linear Weakly Coupled Systems","authors":"Z. Gajic, M. Lim, D. Skataric, W. Su, V. Kecman","doi":"10.1201/B15929-6","DOIUrl":"https://doi.org/10.1201/B15929-6","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"21 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2018-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72914003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This work investigates the problem of L2‐L∞ filtering for a class of stochastic nonlinear systems with nonuniform sampling. The sampled‐data filter developed in this paper is an impulsive differential system whose states change abruptly at every sampling instant. The resulting filtering error system is modeled as a stochastic nonlinear impulsive differential system. The goal is to propose a method for designing a target filter that ensures the stochastic asymptotic stability of the filtering error system and guarantees a prescribed L2‐L∞ performance. Based on a time‐varying Lyapunov functional, by virtue of a convex combination technique, a design method to achieve such a filter is formulated in the form of solving a set of linear matrix inequalities. The effectiveness of the proposed filtering strategy is shown via a numerical example of a stochastic Chua's circuit system.
{"title":"L2‐L∞ filtering for a class of stochastic nonlinear systems with aperiodic sampling","authors":"B. Zhu, M. Suo, Zhiping Zhang, Min Li, Shunli Li","doi":"10.1002/oca.2401","DOIUrl":"https://doi.org/10.1002/oca.2401","url":null,"abstract":"This work investigates the problem of L2‐L∞ filtering for a class of stochastic nonlinear systems with nonuniform sampling. The sampled‐data filter developed in this paper is an impulsive differential system whose states change abruptly at every sampling instant. The resulting filtering error system is modeled as a stochastic nonlinear impulsive differential system. The goal is to propose a method for designing a target filter that ensures the stochastic asymptotic stability of the filtering error system and guarantees a prescribed L2‐L∞ performance. Based on a time‐varying Lyapunov functional, by virtue of a convex combination technique, a design method to achieve such a filter is formulated in the form of solving a set of linear matrix inequalities. The effectiveness of the proposed filtering strategy is shown via a numerical example of a stochastic Chua's circuit system.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"39 1","pages":"1158 - 1167"},"PeriodicalIF":1.8,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/oca.2401","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51027427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we present a switched optimization control method for power allocation of hybrid energy storage systems (HESSs) subject to constraints on the state of charge and power split. By the energy conservation principle, a continuous‐time switching model is established to describe changes of charge quantities of the HESS during its charging‐or‐discharging process. Then an analytic switched state feedback law with some free parameters is constructed by the concept of common control Lyapunov functions, which is used to allocate the power of storage units during the charging‐or‐discharging process. To cope with the constraints and performance functions formulating the power allocation requirements of storage units, the receding horizon control principle is used to compute the parameters of the analytic switched control law by online solving a constrained optimization problem. The results on asymptotical stability and common section region (0.5, ∞) of the switched optimization controller are established in the presence of constraints by using the properties of common control Lyapunov functions. By comparing to linear‐quadratic regulator control of the HESS, an example is used to illustrate the effectiveness and performance of the switched optimization controller presented here.
{"title":"Switched optimization control of power allocation of hybrid energy storage systems","authors":"Xiulan Song, Limin Meng, Lei Wang","doi":"10.1002/oca.2336","DOIUrl":"https://doi.org/10.1002/oca.2336","url":null,"abstract":"In this paper, we present a switched optimization control method for power allocation of hybrid energy storage systems (HESSs) subject to constraints on the state of charge and power split. By the energy conservation principle, a continuous‐time switching model is established to describe changes of charge quantities of the HESS during its charging‐or‐discharging process. Then an analytic switched state feedback law with some free parameters is constructed by the concept of common control Lyapunov functions, which is used to allocate the power of storage units during the charging‐or‐discharging process. To cope with the constraints and performance functions formulating the power allocation requirements of storage units, the receding horizon control principle is used to compute the parameters of the analytic switched control law by online solving a constrained optimization problem. The results on asymptotical stability and common section region (0.5, ∞) of the switched optimization controller are established in the presence of constraints by using the properties of common control Lyapunov functions. By comparing to linear‐quadratic regulator control of the HESS, an example is used to illustrate the effectiveness and performance of the switched optimization controller presented here.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"39 1","pages":"1147 - 1157"},"PeriodicalIF":1.8,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/oca.2336","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51027374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Mohammad Hosseinzadeh Yamchi, R. Mahboobi Esfanjani
This paper presents a receding horizon optimal controller with guaranteed stability for multirobot formation, taking into account collision and obstacle avoidance. The proposed scheme is based on synchronous decentralized strategy wherein all the vehicles that are connected via a packed‐delaying network solve a finite horizon–constrained optimal control problem to obtain their own control action at each sampling instant. First, each robot is modeled by a single integrator dynamics; then, by defining a control law for each robot and considering the effect of communication delay, the closed‐loop dynamics is described as a delay differential equation with tunable parameters. Afterwards, a novel finite‐horizon optimal control setup is established to obtain these adjustable gains such that a desirable formation is achieved. The efficiency and applicability of the suggested scheme are demonstrated by simulation results.
{"title":"A decentralized receding horizon optimal approach to formation control of networked mobile robots","authors":"Mohammad Hosseinzadeh Yamchi, R. Mahboobi Esfanjani","doi":"10.1002/oca.2333","DOIUrl":"https://doi.org/10.1002/oca.2333","url":null,"abstract":"This paper presents a receding horizon optimal controller with guaranteed stability for multirobot formation, taking into account collision and obstacle avoidance. The proposed scheme is based on synchronous decentralized strategy wherein all the vehicles that are connected via a packed‐delaying network solve a finite horizon–constrained optimal control problem to obtain their own control action at each sampling instant. First, each robot is modeled by a single integrator dynamics; then, by defining a control law for each robot and considering the effect of communication delay, the closed‐loop dynamics is described as a delay differential equation with tunable parameters. Afterwards, a novel finite‐horizon optimal control setup is established to obtain these adjustable gains such that a desirable formation is achieved. The efficiency and applicability of the suggested scheme are demonstrated by simulation results.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"39 1","pages":"51 - 64"},"PeriodicalIF":1.8,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/oca.2333","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51027364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：