Journal of Northeastern University Natural Science ›› 2015, Vol. 36 ›› Issue (3): 314-317.DOI: 10.12068/j.issn.1005-3026.2015.03.003

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H Controller Design for a Class of Nonlinear Switched Systems with State Constraints

LIU Qian, ZHAO Jun   

  1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China.
  • Received:2014-01-15 Revised:2014-01-15 Online:2015-03-15 Published:2014-11-07
  • Contact: LIU Qian
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Abstract: The H controller problem for a class of nonlinear switched systems with state constraints was investigated. Each subsystem is in lower triangular form. By employing the barrier Lyapunov function method, the issue of state constraints can be handled. Corresponding feedback controllers are constructed with the backstepping approach. To deal with the problem of state constraints, a barrier Lyapunov function is constructed to obtain the common barrier Lyapunov function for the whole system in every step, and a common virtual control is obtained step by step. A continuous state feedback H controller is provided for the nonlinear switched systems under arbitrary switchings. A numerical example is given to demonstrate the effectiveness of the main results.

Key words: switched systems, state constraints, backstepping, Hcontrol, simulation

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