Closed-form H-infinity optimal control for a class of infinite-dimensional systems

作     者：Bergeling, Carolina Morris, Kirsten A. Rantzer, Anders 

作者机构：Lund Univ Dept Automat Control Box 118 SE-22100 Lund Sweden Univ Waterloo Dept Appl Math Waterloo ON N2L 3G1 Canada 

出 版 物：《AUTOMATICA》 (自动学)

年 卷 期：2020年第117卷

页      面：108916-108916页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071101[理学-系统理论] 

基　　金：Swedish Research Council through LCCC Swedish Foundation for Strategic Research 

主　　题：H-infinity control Linear systems Distributed-parameter systems Optimal control Optimal estimation 

摘      要：H infinity optimal control and estimation are addressed for a class of systems governed by partial differential equations with bounded input and output operators. Diffusion equations are an important example in this class. Explicit formulas for the optimal state feedback controller as well as the optimal state estimator are given. Unlike traditional methods for H-infinity synthesis, no iteration is needed to obtain the optimal solution. Moreover, the optimal performance for both the state feedback and state estimation problems are explicitly calculated. This is shown to be useful for problems of H-infinity optimal actuator and sensor location. Furthermore, the results can be used in testing and bench-marking of general purpose algorithms for H-infinity synthesis. The results also apply to finite-dimensional systems. (C) 2020 Elsevier Ltd. All rights reserved.