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Reduced-order output feedback controllers for the robust H∞ performance problem

Research paper by Lei Guo, Xin Xin, Chunbo Feng

Indexed on: 01 Mar '97Published on: 01 Mar '97Published in: Chinese science bulletin = Kexue tongbao



Abstract

This note considers robust H∞ control problems for a class of systems with time-varying uncertainty lying in a hyperrectangle. It has two features: (i) Output feedback controllers are discussed instead of the state feed-back ones. It is proved that the problem can be reduced to finite-dimensional convex programming problems of finite vertex LMIs. All desired output feedback controllers can be parameterized based on the solutions of 2m LMIs. (ii) Reduced-order controller design is considered and the design idea is also formulated as solutions to LMIs. These results are also an extension of the main theorems about reduced-order controllers discussed in ref. [8] for uncertain systems. Based on the approaches presented here, similar problems in the discrete-time case could be dealt with.