Abstract:

For the difficulty of estimating the invariant set and Lipschitz constant of nonlinear link during the design of the synchronization controller for the chaos Lurie control systems, an idea of getting Lipschitz constant adaptively estimated is presented. Based on it and the solution of a given continuous Riccati algebraic matrix equation, the synchronous adaptive controller of two chaotic Lurie systems is derived via Lyapunov function method. Then the simulations show that the convergence is rapid without overshoot, which indicates the excellent adaptive control effect.