Adaptive control of uncertain chaotic systems with time delays using dynamic structure neural network

A kind of control methods is surveyed to deal with a class of nonlinear systems with uncertain time delay. By combining the Lvapunov-Krasovskii function and Lyapunov function, the time-delay compensator with adjustable parameters is presented to make the control input independent of the multiple time delays. At the same time, the dynamic structure adaptive neural network is introduced to eliminate the uncertainties in the chaotic system, which approximates the function with better relationship between the calculation rate and structure complexity by increasing hidden units when the tracking error is beyond the allowable bound. The demonstration with a given Duffing chaotic system shows the presented control method is effective.