Abstract
This paper investigates the asynchronous finite-region dissipative control design for heat exchanger systems. First, we model the heat exchanger systems as two-dimensional (2D) Markov jump systems (MJSs) by thermodynamic approach and Takagi-Sugeno (T-S) fuzzy scheme incorporating both system stochasticity and non-linearity. By combining the hidden Markov model (HMM) and Lyapunov functional based on system modes and fuzzy rules, the nonsynchronous phenomenon between the system and the controller is resolved in reducing conservatism simultaneously. Then, by linear matrix inequality technique, it successfully establishes sufficient conditions such that the closed-loop 2D MJSs are finite-region bounded and strictly (Q,S,R)-ζ-dissipative. Finally, the simulation experiments are shown to verify the effectiveness of the proposed scheme.