Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation

被引：2
|
作者：
Baier, Robert [1 ]
Braun, Philipp [2 ]
Gruene, Lars [1 ]
Kellett, Christopher M. [2 ]
机构：
[1] Univ Bayreuth, Dept Math, D-95440 Bayreuth, Germany
[2] Univ Newcastle, Sch Elect Engn & Comp, Callaghan, NSW 2308, Australia
来源：
IFAC PAPERSONLINE | 2019年 / 52卷 / 16期
基金：
澳大利亚研究理事会;
关键词：
(control) Lyapunov function; asymptotic stability; controllability; switched systems; piecewise linear analysis; linear programming; mixed-integer problems;
D O I：
10.1016/j.ifacol.2019.11.808
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We review the numerical computation of control Lyapunov functions for switched systems in the Filippov sense and in the sample-and-hold sense. The computed (control) Lyapunov functions are piecewise affine and the decrease conditions involve either generalized gradients or the Dini subderivate. Further conditions for stabilization or stabilizability yield a (mixed-integer) linear program. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：370 / 375
页数：6
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