Boundary Predictive Control of Second-Order Linear Modulus-Constant Distributed Parameter Systems Based on Wavelets Transformation

Abstract

Abstract Control system design of distributed parameter system is the difficulty of control theory. A new idea to control of distributed parameter system is to introduce the boundary control idea into predictive control of distributed parameter system based on wavelets transformation. Discrete-time boundary predictive control algorithm of second-order linear modulus-constant distributed parameter system based on orthogonal wavelets transformation is proposed in this paper. Second-order linear modulus-constant distributed parameter system in boundary control is approximated in Haar wavelets transformation. So the predictive control proposition of distributed parameter system has been transformed into the predictive control issue of lumped parameter system. The boundary predictive controller is designed for the input returning to the boundary predictive control rule of the original system. Simulation studies of the proposed algorithm, as well as the system robustness under uncertainty such as the parameters perturbations, and a disturb occurring to the system output are showed. The results have verified the control effectiveness of the proposed algorithm.