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Limit cycle global asymptotic stability of continuous-time switched affine systems

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Author(s):
Egidio, Lucas N. ; Deaecto, Grace S. ; Geromel, Jose C.
Total Authors: 3
Document type: Journal article
Source: IFAC PAPERSONLINE; v. 53, n. 2, p. 6-pg., 2020-01-01.
Abstract

This paper treats global asymptotic stability of a limit cycle, determined by the designer, for continuous-time switched affine systems, taking into account sampled and non-sampled switching rules. More specifically, our goal is to design a state-dependent switching function assuring global asymptotic stability of a limit cycle, which is determined from criteria of interest related to the system steady-state response. The conditions, expressed in terms of differential linear matrix inequalities, are based on a time-varying quadratic Lyapunov function and take into account a guaranteed cost, which assures a suitable performance level for the system transient response. These conditions can be converted into two linear matrix inequalities, making the problem simple-to-solve. An academic example is used for validation and comparison. Copyright (C) 2020 The Authors. (AU)

FAPESP's process: 17/20343-0 - Switched control systems: new theoretical perspectives and practical applications
Grantee:Grace Silva Deaecto
Support Opportunities: Regular Research Grants