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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2004, Vol. 5 Issue (7): 841-850    DOI: 10.1631/jzus.2004.0841
Systems Science & Engineering     
Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay
SHI Jia, WU Tie-jun, DU Shu-xin
National Key Lab for Industrial Control Technology; Institute of Intelligent Systems and Decision Making, Zhejiang University, Hangzhou 310027, China
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Abstract  For linear switched system with both parameter uncertainties and time delay, a delay-dependent sufficient condition for the existence of a new robust H∞ feedback controller was formulated in nonlinear matrix inequalities solvable by an LMI-based iterative algorithm. Compared with the conventional state-feedback controller, the proposed controller can achieve better robust control performance since the delayed state is utilized as additional feedback information and the parameters of the proposed controllers are changed synchronously with the dynamical characteristic of the system. This design method was also extended to the case where only delayed state is available for the controller. The example of balancing an inverted pendulum on a cart demonstrates the effectiveness and applicability of the proposed design methods.

Key words： Linear switched systems      Robust H∞ control      Matrix inequality      Time delay     
Received: 30 September 2003     
CLC:  O231.5  
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WU Tie-jun
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SHI Jia, WU Tie-jun, DU Shu-xin. Delay-dependent robust H∞ control for a class of uncertain switched systems with time delay. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(7): 841-850.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2004.0841     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2004/V5/I7/841

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