Probabilistic design of LPV control systems

被引:80
作者
Fujisaki, Y [1 ]
Dabbene, F
Tempo, R
机构
[1] Kobe Univ, Dept Syst & Comp Engn, Kobe, Hyogo 6578501, Japan
[2] Politecn Torino, CNR, IEIIT, I-10129 Turin, Italy
关键词
randomized algorithms; linear parameter-varying systems; gain scheduling; output feedback;
D O I
10.1016/S0005-1098(03)00108-0
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents an alternative approach to design of linear parameter-varying (LPV) control systems. In contrast to previous methods, which are focused on deterministic algorithms, this paper is based on a probabilistic setting. The proposed randomized algorithm provides a sequence of candidate solutions converging with probability one to a feasible solution in a finite number of steps. The main features of this approach are as follows: (i) The randomized algorithm gives a method for general LPV plants with state space matrices depending on scheduling parameters in a nonlinear manner. That is, the probabilistic setting does not need a gridding of the set of scheduling parameters or approximations such as a linear fractional transformation of the state space matrices. (ii) The proposed algorithm is sequential and, at each iteration, it does not require heavy computational effort such as solving simultaneously a large number of linear matrix inequalities. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1323 / 1337
页数:15
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