Towards ISS disturbance attenuation for randomly switched systems
Debasish Chatterjee, Daniel Liberzon
TL;DR
This paper investigates the input-to-state stability of randomly switched systems, providing conditions for stochastic ISS and designing controllers for disturbance attenuation under different switching signal models.
Contribution
It introduces new sufficient conditions for stochastic ISS in randomly switched systems and proposes controller design methods for disturbance attenuation.
Findings
Established ISS conditions for systems without control inputs.
Designed controllers for ISS-disturbance attenuation with control inputs.
Analyzed systems under slow-switching and semi-Markov process models.
Abstract
We are concerned with input-to-state stability (ISS) of randomly switched systems. We provide preliminary results dealing with sufficient conditions for stochastic versions of ISS for randomly switched systems without control inputs, and with the aid of universal formulae we design controllers for ISS-disturbance attenuation when control inputs are present. Two types of switching signals are considered: the first is characterized by a statistically slow-switching condition, and the second by a class of semi-Markov processes.
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