Robust control of piecewise discrete-time linear systems with α-stability constraint

Author

Zhang, Jianxiong ; Feng, Lin ; Liu, Yanling ; Deng, Lili

Author_Institution

Inst. of Syst. Eng., Tianjin Univ., Tianjin, China

Volume

3

fYear

2010

fDate

29-31 Oct. 2010

Firstpage

706

Lastpage

710

Abstract

Based on piecewise quadratic Lyapunov function method, this paper first provides stability condition for the autonomous uncertain piecewise discrete-time linear systems, which is a feasibility problem of linear matrix inequalities (LMIs). Then the robust control with a-stability constraint via state feedback controller for uncertain piecewise discrete-time linear systems is presented. It is shown that the controller that minimizing the performance index a can be obtained by solving an optimization problem involving the bilinear matrix inequalities (BMIs).

Keywords

Lyapunov methods; discrete time systems; linear matrix inequalities; linear systems; optimisation; performance index; piecewise polynomial techniques; robust control; state feedback; uncertain systems; α-stability constraint; autonomous uncertain system; bilinear matrix inequality; linear matrix inequality; optimization problem; performance index; piecewise discrete time linear system; piecewise quadratic Lyapunov function method; robust control; state feedback controller; Artificial neural networks; Linear matrix inequalities; Nickel; Niobium; Optimization;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computing and Intelligent Systems (ICIS), 2010 IEEE International Conference on

Conference_Location

Xiamen

Print_ISBN

978-1-4244-6582-8

Type

conf

DOI

10.1109/ICICISYS.2010.5658272

Filename

5658272