Static output feedback global asymptotic stability of limit cycles for discrete-time switched affine systems

• Main Author: Deaecto, Grace S.
• Publication Date: 2023
• Other Authors: Hirata, Regiane A., Teixeira, Marcelo C.M. [UNESP]
• Format: Conference object
• Language: eng
• Source: Repositório Institucional da UNESP
• Download full: http://dx.doi.org/10.1016/j.ifacol.2023.10.1752; https://hdl.handle.net/11449/303516
• topic: limit cycle asymptotic stability; static output feedback; Switched affine systems

This paper deals with static output feedback stabilisation of suitable limit cycles for discrete-time switched affine systems. In a first step, a limit cycle is determined according to a performance criterion specified by the designer related to the steady-state response of interest as, for instance, the maximum allowed ripple. Afterwards, based on a time-varying convex Lyapunov function, a min-type switching rule is designed through sufficient conditions expressed in terms of linear matrix inequalities that ensure global asymptotic stability of the limit cycle and an H2 or H∞ minimum guaranteed cost. A practical application example concerning the voltage regulation of a DC-DC multicellular converter is used for validation and comparison.