Output-Feedback H2/Hinf Control of a Class of Networked Fault Tolerant Control Systems
Résumé
This paper deals with static output feedback control of a class of discrete-time Networked Control Systems (NCSs) 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, $\mathcal{H}_{2}$ and $\mathcal{H}_{\infty}$ performances. Results are formulated as matrix inequalities. A numerical algorithm is provided and its running is illustrated on a numerical example.
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