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

被引：67

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

页码：4058 / 4065

页数：8

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