Observer-Based Finite-Region Dissipative Control for 2-D Continuous-Discrete Systems over Networks

This work is concerned with the problem of finite-region dissipativity-based control for a class of two-dimensional (2-D) continuous-discrete systems in Roesser model over networks, in which the time delays and missing measurements are both involved. Sufficient conditions ensuring the finite-region boundedness and finite-region (T,S,R)-σ-dissipativity for the resulting closed-loop system are derived via utilizing Lyapunov function approach and special recursive formulas. Further, based on the obtained finite-region (T,S,R)-σ-dissipativity conditions, the observer-based state feedback controller is designed. Finally, a simulation example is given to illustrate the effectiveness of the proposed controller design result.