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

被引:6
作者
Bergeling, Carolina [1 ]
Morris, Kirsten A. [2 ]
Rantzer, Anders [1 ]
机构
[1] Lund Univ, Dept Automat Control, Box 118, SE-22100 Lund, Sweden
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
基金
瑞典研究理事会;
关键词
H-infinity control; Linear systems; Distributed-parameter systems; Optimal control; Optimal estimation; RICCATI-EQUATIONS;
D O I
10.1016/j.automatica.2020.108916
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
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.
引用
收藏
页数:8
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