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L2-gain Analysis and Synthesis of Saturated Switched Linear Systems

  • Xinquan ZhangEmail author
  • Wenhua Tao
  • Qingyu Su
Article
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Abstract

The problem of L2-gain analysis and anti-windup compensators design is investigated for saturated switched linear systems via the single Lyapunov function method. Firstly, a sufficient condition about tolerable disturbances is obtained, under which the state trajectory starting from the origin will remain inside a bounded set. Then over this set of tolerable disturbances, we obtain the upper bound of the restricted L2-gain. Furthermore, the anti-windup compensation gains and the switched law, which aim to determine the maximum disturbance tolerance capability and the minimum upper bound of the restricted L2-gain, are presented by solving constraint optimization problem. Finally we give a numerical example to demonstrate the effectiveness of the proposed method.

Keywords

Actuator saturation anti-windup L2-gain single Lyapunov function switched systems tolerable disturbances 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.School of Information and Control EngineeringLiaoning Shihua University and National Experimental Teaching Demonstration Center of Petrochemical Process Control, Liaoning Shihua UniversityFushunP. R. China
  2. 2.School of Automation EngineeringNortheast Electric Power UniversityJilinP. R. China

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