Simultaneous Quadratic Stabilization for Discrete-Time Nonlinear Systems

被引：13
|
作者：
Wu, Jenq-Lang [1 ]
机构：
[1] Natl Taiwan Ocean Univ, Dept Elect Engn, Chilung 202, Taiwan
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 06期
关键词：
Control Lyapunov functions (CLFs); discrete-time systems; nonlinear systems; simultaneous stabilization; STATE-FEEDBACK-CONTROL; CONTROL-LYAPUNOV FUNCTION; ASYMPTOTIC CONTROLLABILITY; LINEAR-SYSTEMS; COLLECTION; STABILIZABILITY; PERFORMANCE;
D O I：
10.1109/TAC.2010.2044279
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A constructive method is developed for designing simultaneously quadratically stabilizing state feedback controllers for a collection of single-input discrete- time nonlinear systems. In the context of quadratic control Lyapunov functions a necessary and sufficient condition for the existence of simultaneously quadratically stabilizing state feedback laws is derived. An explicit formula for constructing continuous simultaneously stabilizing controllers is presented. The obtained results are verified by a numerical example.
引用
收藏
页码：1443 / 1448
页数：6
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