Title :
Root-mean-square gains of switched linear systems
Author :
Hespanha, João P.
Abstract :
In this note, we compute the root-mean-square (RMS) gain of a switched linear system when the interval between consecutive switchings is large. The algorithm proposed is based on the fact that a given constant γ provides an upper bound on the RMS gain whenever there is a separation between the stabilizing and the antistabilizing solutions to a set of γ-dependent algebraic Riccati equations. The motivation for this problem is the application of robust stability tools to the analysis of hybrid systems.
Keywords :
H∞ control; Riccati equations; closed loop systems; linear systems; robust control; time-varying systems; transfer functions; H∞-norm; RMS gain; algebraic Riccati equations; antistabilizing solutions; closed loop transfer functions; consecutive switching interval; hybrid systems; linear time-varying system; robust stability tools; root-mean-square gains; stabilizing solutions; switched linear systems; Differential equations; Gain; Linear systems; Logic; Riccati equations; Robust stability; Signal generators; Switched systems; Time varying systems; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.819300
