Stability of planar linear systems with state constraints

Authors:
Wei Guan;Zhi-Feng Sun
Affiliations:
School of Automation, Shenyang Institute of Aeronautical Engineering, Shenyang, China;School of Economy and Management, Shenyang Institute of Chemical Technology, Shenyang, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Year:
2009

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Abstract

In this paper, a linear state-feedback controller design approach is proposed for linear time-invariant (LTI) planar systems with state constraints. Firstly, necessary and sufficient condition for stability of LTI constrained systems is presented by using null clines theorems. In addition, a method of designing stabilizing controller for LTI systems with state constraints is presented. Two examples are given to illustrate the efficiency of the design method.