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

Abstract

A new idea to control distributed parameter system was to induct the boundary control idea into predictive control of distributed parameter system. Because of complexity of distributed parameter system, control system design is the difficulty of control theory. In this paper, boundary predictive control algorithm of time-discrete first-order linear modulus- constant distributed parameter system based on orthogonal wavelets transformation was proposed. First-order linear modulus-constant distributed parameter system in boundary control was approximated in Haar wavelets transformation. So the boundary predictive control proposition of distributed parameter system has been transformed into boundary predictive control issue of lumped parameter system. The predictive controller was designed for the input returning to the boundary control rule of original system. Simulation studies bring to ideal control effective of boundary predictive control algorithm of distributed parameter system proposed. It also shows good robust property when model deviates from the normal and when disturb occurs to the system. The results have verified the algorithm.