Output regulation of a class of continuous-time Markovian jumping systems

This paper studies output regulation for continuous-time Markovian jumping systems (MJSs), for which mode-dependent regulation equations are investigated. With the extension of regulation scheme to MJSs by stochastic Lyaponov–Krasovskii functional framework, sufficient conditions are, respectively, obtained for state feedback and error feedback. The resulting closed-loop system is guaranteed to be stochastically stable and the output regulation error almost asymptotically converges to zero. A semi-definite optimization approach via disciplined convex programming is adopted to ensure relaxed solutions of the regulation equations. Finally, two numerical simulations are given to illustrate the performance of the proposed approach.

► Output regulation scheme is proposed for MJSs with state feedback and error feedback.
► A semi-definite optimization approach via disciplined convex programming is adopted.
► Two numerical simulations illustrate the validity of the proposed methods.