Boundary predictive control of second-order linear modulus-vary distributed parameter systems based on wavelets transformation

Abstract

Introducing the boundary control idea into predictive control of distributed parameter system based on wavelets transformation is a new idea to control of distributed parameter system. Discrete-time boundary predictive control algorithm of second-order linear modulus-vary distributed parameter system based on orthogonal wavelets transformation is proposed in this paper. Second-order linear modulus-vary distributed parameter system in boundary control is approximated in Haar wavelets transformation. So the predictive control propositions of distributed parameter system have 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 shown. The results have verified the control effectiveness of the proposed algorithm.