Digital modelling and robust digital redesign of sampled-data uncertain systems via the interval tuning bilinear approximation method

Based on the bilinear approximation method. we present an interval tuning b ilinear approximation method to do the digital model conversion and digital redesign of sampled-data uncertain systems. The tuning bilinear method tog ether with interval arithmetic operation is employed to obtain the approxim ate discrete-time model and the digital robust control law from the continu ous-time uncertain state equation and the given continuous-time robust cont rol law, respectively. The proposed digitally tuning redesigned control law with one parameter can be adjusted so that the resulting dynamic states of the digitally controlled sampled-data uncertain system are able to closely match those of the original continuous-time well-designed uncertain system for a relatively longer sampling period. (C) 2001 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.