Predictive control of state square nonlinear distributed parameter system based on wavelets transformation

The modeling and control of nonlinear distributed parameter system is a complex problem. Based on orthogonal wavelets transformation, system state square nonlinear distributed parameter system is approximated into lumped parameter system. The predictive control proposition of nonlinear distributed parameter system is transformed into predictive control issue of lumped parameter system. Discrete-time predictive control algorithm of distributed parameter system based on orthogonal wavelets transformation is proposed. The predictive controller is designed for the input returning to the control rule of original system. Simulation studies of the proposed algorithm, system robustness under uncertainty such as the system parameters perturbations, and a disturb occurring to the system output are shown. The results verified the algorithm effective.