On Stability and Performance Analysis of Discrete-Time Piecewise Affine Systems

被引：1
|
作者：
Mirzazad-Barijough, Sanam [1 ]
Lee, Ji-Woong [1 ]
机构：
[1] Penn State Univ, Dept Elect Engn, University Pk, PA 16802 USA
来源：
49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年
关键词：
LYAPUNOV FUNCTIONS; HYBRID; TOOLS;
D O I：
10.1109/CDC.2010.5717481
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 paper considers exponential stability and quadratic performance of discrete-time piecewise affine systems. We propose a procedure to obtain an increasing sequence of state-space partitions, and show that, whenever the procedure terminates after a finite number of steps, a nonconservative stability and performance analysis is achieved by solving a finite number of linear matrix inequalities. The result is illustrated via numerical examples, which include a model of the PWM DC-DC power converter.
引用
收藏
页码：4244 / 4249
页数：6
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