Worst-Case Optimal Static Output Feedback for Uncertain Systems

被引:0
|
作者
Guarino Lo Bianco, Corrado [1 ]
Piazzi, Aurelio [1 ]
机构
[1] Univ Parma, Dip Ingn Informaz, I-43100 Parma, Italy
关键词
static output feedback; worst-case design; semi-infinite optimization; hybrid algorithms;
D O I
10.1023/A:1021556508005
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper proposes a worst-case optimal approach to the synthesis of a static output feedback for a linear, time-invariant, multivariable system depending on uncertain parameters which nonlinearly affect a given state-space model. The aim is to seek an output-to-input feedback matrix that robustly stabilizes the closed-loop system while minimizing, over the uncertain parameter domain, the (worst-case) maximum of a composite quadratic index. The emerging minimax problem is shown to be exactly equivalent to a semi-infinite optimization problem for which an estimate of a global solution is obtained through a genetic/interval algorithm. This is a hybrid algorithm that combines a genetic algorithm (at the upper level) with an interval procedure (acting at the lower level). Computational results for a two-input two-output (TITO) system are included.
引用
收藏
页码:379 / 393
页数:15
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