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- Title
Control of uncertain piecewise discrete-time linear systems via state and output feedback.
- Authors
Zhang, Jianxiong; Tang, Wansheng; Deng, Lili; Gao, Hongxing
- Abstract
Based on piecewise quadratic Lyapunov function techniques, this paper first provides a stability condition for the uncertain piecewise discrete-time linear system, which is a feasibility problem of linear matrix inequalities. Then the control methods for uncertain piecewise discrete-time linear systems via state feedback and output feedback controllers are proposed. It is shown that both the state feedback and output feedback controllers can be obtained by solving a set of bilinear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed methods
- Subjects
FEEDBACK control systems; DISCRETE-time systems; LYAPUNOV functions; STABILITY of linear systems; UNCERTAINTY (Information theory); FEASIBILITY studies; NUMERICAL analysis
- Publication
Transactions of the Institute of Measurement & Control, 2012, Vol 34, Issue 5, p509
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/0142331211403539