Dissipativity-Based Non-fragile Sampled-Data Control for Fuzzy Markovian Jump Systems

Abstract

In this chapter, the problem of dissipativity analysis and non-fragile sampled-data control is investigated for fuzzy Markovian jump systems. Firstly, based on the mode-dependent Lyapunov function consisting of a two-sided closed-loop function where the information of both intervals $$x(t_{k})$$\n to x(t) and x(t) to $$x(t_{k+1})$$\n is well utilized, the stochastically stable criteria and strictly (\n $${\\mathcal {Q}}$$\n ,\n $${\\mathcal {S}}$$\n ,\n $${\\mathcal {R}}$$\n )-\n $$\\gamma$$\n -dissipative criteria are proposed in the form of linear matrix inequalities. And then, according to the strictly dissipativity criteria, a non-fragile controller with state feedback is considered for the studied systems. Finally, a truck–trailer model is given to demonstrate the efficiency of the presented method.