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Stabilization of linear time-varying systems with state and input constraints using convex optimization

Feng Tan, Mingzhe Hou, and Guangren Duan   

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • Online:2016-06-25 Published:2010-01-03

Abstract:

The stabilization problem of linear time-varying systems with both state and input constraints is considered. Sufficient conditions for the existence of the solution to this problem are derived and a gain-switched (gain-scheduled) state feedback control scheme is built to stabilize the constrained timevarying system. The design problem is transformed to a series of convex feasibility problems which can be solved efficiently. A design example is given to illustrate the effect of the proposed algorithm.