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Nonlinear Dynamics

, Volume 78, Issue 2, pp 1357–1367 | Cite as

\({L}_{2}\)-gain analysis and output feedback control for continuous-time switched systems with actuator saturation

  • Xiao-Qi Zhao
  • Jun Zhao
Original Paper

Abstract

This paper is concerned with the problem of \(L_2\)-gain analysis for a class of continuous-time switched systems with actuator saturation. Different from the existing results using the state-dependent switching approach, a linear parameter-varying output feedback controller with the time-dependent switching mechanism is designed such that the overall system is exponentially stable and with disturbance tolerance capacity and \(L_2\) gain. Further, the proposed controller is insured by introducing the slack matrices to have less conservatism, which maximizes the ellipsoid where the state trajectories starting from the origin will remain. Sufficient conditions for the existence of the switching and output feedback control law are derived in terms of linear matrix inequalities. Finally, a practical example is given to show the effectiveness of the proposed method.

Keywords

Switched systems Actuator saturation Output feedback control Average dwell-time 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants 61304058 and 61233002, and IAPI Fundamental Research Funds under Grant 2013ZCX03-01, Fundamental Research Funds for the Central Universities under Grant N130604003.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.College of Information Science and EngineeringNortheastern UniversityShenyang People’s Republic of China
  2. 2.State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University), College of Information Science and EngineeringNortheastern UniversityShenyang People’s Republic of China

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