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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.7 P.841~850

http://doi.org/10.1631/jzus.2004.0841


Delay-dependent robust H control for a class of uncertain switched systems with time delay


Author(s):  SHI Jia, WU Tie-jun, DU Shu-xin

Affiliation(s):  National Key Lab for Industrial Control Technology; more

Corresponding email(s):   jshi@iipc.zju.edu.cn, kejshi@ust.hk

Key Words:  Linear switched systems, Robust H&infin, control, Matrix inequality, Time delay


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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[J]. Journal of Zhejiang University Science A, 2004, 5(7): 841~850.

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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&infin; 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.

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Reference

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