Robust switching output-feedback control of time-varying polytopic uncertain systems

被引:5
作者
Yuan, Chengzhi [1 ]
Wu, Fen [1 ]
机构
[1] North Carolina State Univ, Dept Mech & Aerosp Engn, Raleigh, NC 27695 USA
关键词
Min-switching control; polytopic uncertainties; output feedback; linear matrix inequalities (LMIs); H-INFINITY CONTROL; LINEAR-SYSTEMS; DESIGN;
D O I
10.1080/00207179.2016.1154607
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The problem of designing a globally optimal robust output feedback controller for time-varying polytopic uncertain systems is a well-known non-convex optimisation problem. In this paper, new sufficient conditions for both robust H-2 and H-infinity switching output-feedback control syntheses are proposed in terms of bilinearmatrix inequalities (BMIs) under the multiple Lyapunov function framework. This set of synthesis conditions is further reduced to a special type of BMIs, which can be solved effectively using linearmatrix inequality optimisation plus a line search. The associated robust output-feedback controller is constructed as a switching-type full-order dynamic output-feedback controller, consisting of a family of linear time-invariant subcontrollers and amin-switching logic. The proposed approach features the important property of computational efficiency with stringent performance. Its effectiveness and advantages have been demonstrated through extensive numerical studies.
引用
收藏
页码:2262 / 2276
页数:15
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