Multiresolutional controller design

Abstract

The framework necessary for achieving a multiresolutional control system is developed by this paper. This paper focuses on modeling each element of a control system using a best orthonormal wavelet packet basis and then determining the optimal controller using the same orthonormal wavelet packet basis or another related orthonormal wavelet packet basis. A theorem for designing a wavelet packet controller which minimizes the 2-norm sensitivity function for a single-input single-output (SISO) system is presented. A theorem for designing a wavelet packet controller which minimizes the 2-norm mixed sensitivity function for a SISO system is also presented. Multiresolutional controller design examples are presented and compared with discrete H/sup 2/ controllers.