Dissipative Analysis for Random Time Varying Delay Sampled-data Controller Design for Singular Networked Cascade Control System

In this paper we investigated the problem on dissipative analysis using sample data controller for a class of singular networked cascade control systems (NCCS) with random time varying delays and external disturbances. A new stochastic variable with a Bernoulli distribution has been introduced and the information of probability distribution of the time-varying delay is measured and transformed into a new deterministic timevarying delay. A new set of Lyapunov-Krasovskii functions are constructed to verify that the NCCS obeyed regular, impulse-free, stable and strictly (Q, S, R) dissipative. The derived LKF conditions are framed by linear matrix inequalities (LMIs) and can be verified by using MATLAB LMI Toolbox. At the end a Numerical simulations are given to express the efficiency of the derived results.