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Performance analysis of reset control systems
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DOI：10.1002/rnc.1502.png)
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In this paper we present a general linear matrix inequality-based analysis method to determine the performance of a SISO reset control system in both the L(2) gain and H(2) sense. In particular, we derive convex optimization problems in terms of LMIs to compute an upperbound on the L(2) gain performance and the H(2) norm, using dissipativity theory with piecewise quadratic Lyapunov functions. The results are applicable to for all LTI plants and linear-based reset controllers, thereby generalizing the available results in the literature. Furthermore, we provide simple though convincing examples to illustrate the accuracy of our proposed L(2) gain and H(2) norm calculations and show that, for an input constrained H(2) problem, reset control can outperform a linear controller designed by a common nonlinear optimization method. Copyright (C) 2009 John Wiley & Sons, Ltd.
Keyword:
reset control
performance analysis
L(2)-gain
H(2)-norm
LMI
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3.2
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Multiple Lyapunov functions and other analysis tools for switched and hybrid systems切换和混合系统的多个Lyapunov函数和其他分析工具
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