Event-Triggered Programming for H∞ Control of Completely Unknown Nonlinear System via Generalized Fuzzy Hyperbolic Models

For the infinite-horizon (H∞) optimal control problem of a nonlinear system with completely unknown dynamics, a generalized fuzzy hyperbolic model-based identifier is designed to reconstruct the system dynamics. By the means of Lyapunov method, the uniform ultimate boundedness (UUB) stability of the identifier state estimation error is proved under the designed parameter regulation law. The value function is approximated by using an adaptive critic design with a single network structure to obtain an approximate optimal solution to the Hamilton-Jacobi-Isaacs (HJI) equation. Static and dynamic event-triggered near-optimal controllers with dead zones are designed, respectively. In this work, the triggering conditions only depend on the system state, and both control and disturbance strategies are based on the event-triggered conditions. Finally, the effectiveness of the proposed method for the system dynamics is verified by a numerical example.