Generalized H2 control of discrete‐time semi‐Markov jump systems.

This paper mainly studies the generalized H2 control of discrete‐time semi‐Markov jump systems with bounded sojourn‐time. By constructing the mode‐dependent Lyapunov function related to the elapsed‐time and the semi‐Markov process, we obtain sufficient conditions to ensure the σ‐error mean square stable and generalized H2 performance of the semi‐Markov jump system. Moreover, by introducing slack variables, the generalized H2 performance index is reduced and the feasible region is expanded. Finally, through numerical calculations, we confirm the effectiveness of the design methods. [ABSTRACT FROM AUTHOR]