Stability Analysis and Control Design of Discrete-Time Switched Affine Systems

被引：57
|
作者：
Deaecto, Grace S. [1 ]
Geromel, Jose C. [2 ]
机构：
[1] Univ Estadual Campinas, DMC Sch Mech Engn, BR-13083860 Campinas, SP, Brazil
[2] Univ Estadual Campinas, DSCE Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 08期
关键词：
Discrete-time domain; sampled-data control; stability analysis; switched affine systems; STABILIZATION; HYBRID;
D O I：
10.1109/TAC.2016.2616722
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note focuses on stability analysis and control design of switched affine systems in discrete-time domain. The stability conditions are obtained by taking into account that the system trajectories, governed by a certain switching function, converge to a set of attraction nu containing a desired equilibrium point. These conditions follow from the adoption of a general quadratic Lyapunov function whose time variation is bounded above by a concave-convex function with center determined by minimax theory. Our main contribution is to provide a stabilizing state feedback switching function and an invariant set of attraction nu* with minimum volume as far as this class of quadratic Lyapunov functions is adopted. The results are applied to sampled-data control of continuous-time switched affine systems with chattering avoidance. The speed control of a DC motor is presented.
引用
收藏
页码：4058 / 4065
页数：8
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