Wavelet transform based optimal control of parameter-varying distributed parameter systems

In this paper, an orthogonal function approximation approach has been employed to investigate the optimal distributed control of linear time-space varying distributed parameter systems. The product integrated operational matrix of Haar wavelets has been derived, so that the optimal distributed control problem for DPS can be converted to a lumped parameter problem by the wavelet transformation, and an approximation control algorithm for DPS has been obtained. Simulation results show the efficiency of the presented algorithm.