H 2 and H ∞ analysis for discrete-time constrained switched linear systems

摘要

This paper analyses the design of discrete-time switched linear systems satisfying stability and performance indices constraints. These constraints are imposed to attain stability and performance under the condition of arbitrary switching. To this end, we define a discrete-time constrained switched linear system, that, together with convex optimisation and graph theory, allows us to design a procedure to ensure stability and performance of the switched system. Simulations with numerical examples are given to illustrate the applicability of the developed theory.