Output-feedback H2/H∞ control of a class of networked fault tolerant control systems

This paper deals with static output feedback control of a class of discrete-time networked control systems (NCS) subject to random failures and random delays. The different random processes are modeled as Markovian chains, and the resulting closed-loop system belongs to the class of discrete-time Markovian jump linear systems (MJLS). The main contribution is to formulate conditions for multi-performance design related to this class of stochastic hybrid systems. The specifications and objectives under consideration include stochastic stability, H-2 and H-infinity performances. Results are formulated as matrix inequalities. A numerical algorithm is provided and its running is illustrated on a numerical example.