| Summary: | 博士 === 國立成功大學 === 電機工程學系 === 90 === This dissertation is dedicated to develop the optimal tracking control of hybrid time-delay nominal/uncertain systems. It includes the following distributions:
(i) The optimal digital tracking design for sampled-data time-delay systems under state and control constraints is proposed. The advanced digital redesign technique based on the multi-objective evolutionary programming (MOEP) is effective to achieve performance optimization under concurrent system constraints.
(ii) The tracking control of cascaded hybrid systems with different input time delays is developed. First, the optimal high-gain analog tracker is designed based on the MOEP optimal search technique, then utilizing the MOEP-based digital redesign approach to determine the relative long sampling period under constraints and associated implementable low-gain digital controller for the hybrid systems.
(iii) Considering the uncertainties and restrictions in time-invariant linear systems, an optimal min-max algorithm to minimize the worst errors between the outputs and the desired signals is proposed.
(iv) A new digital modeling technique involving the Newton’s forward difference formula with EP for sampled-data uncertain systems with general multiple state and input delays is developed. Furthermore, combining the successful digital redesign technology with the MOEP via the min-max method, the best digital tracker is also developed.
MOEP-based optimal digital redesign techniques are utilized in this dissertation to develop digital controllers for hybrid nominal/uncertain systems. The effectiveness of developed digital control laws is demonstrated by illustrative examples. To believe firmly, the advantages of this dissertation are helpful to complete the theories and implements in the literature for optimal control of hybrid time-delayed systems.
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