Stabilization of a class of switched systems with state constraints

被引：32
|
作者：
Su, Qingyu [1 ]
Zhao, Jun [1 ]
机构：
[1] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 70卷 / 02期
关键词：
Switched systems; State constraints; Average dwell time; GLOBAL STABILIZATION; LINEAR-SYSTEMS; ASYMPTOTIC STABILITY; NONLINEAR-SYSTEMS; L-2-GAIN; FORM;
D O I：
10.1007/s11071-012-0550-8
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper investigates the stabilization problem for a class of switched systems with state constraints in both continuous-time and discrete-time contexts. The state constraints are converted into state saturations by limiting the state in a unit hypercube. An improved average dwell time method is presented to take into account different decay rates of a Lyapunov function related to an active subsystem according to the saturations occurring or not. Sufficient conditions for stability and stabilizability of the switched system with state constraints are derived; meanwhile, the stabilizing state feedback controllers are designed. An application to a longitudinal motion of highly maneuverable aircraft technology (HiMAT) vehicle is given to illustrate the applicability and the effectiveness of the proposed method.
引用
收藏
页码：1499 / 1510
页数：12
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