Output-feedback H∞ Control for Saturated 2-D Discrete System under The Event-triggered Mechanism

The output feedback H
∞
control issue is investigated for a class of saturated 2-D discrete systems characterized by the Roesser local state space model within the framework of the static event-triggered mechanism (SETM). Considering the practical issues, such as the system state being challenging to be measured directly or unmeasurable, an event-triggered condition with measurement information is introduced, and the corresponding output feedback controller is constructed. Utilizing the Lyapunov function approach, we ensure that the closed-loop system meets a designated H
∞
performance criterion. The index for the output feedback controller are derived through the application of matrix inequalities. Combined with the cone complement linearization (CCL) algorithm. And the development of the output feedback controller is recast as a nonlinear minimization challenge subject to linear matrix inequality constraints. Then, the expected controller gain can be presented. In the end, the proposed output feedback control strategy’s effectiveness and practicality under SETM are validated through a numerical simulation.