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Optimal disturbance rejection control for singularly perturbed composite systems with time‐delay
Author(s) -
Zhang BaoLin,
Tang GongYou,
Yue Dong
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.110
Subject(s) - feed forward , control theory (sociology) , compensation (psychology) , term (time) , disturbance (geology) , limit (mathematics) , state vector , composite number , sequence (biology) , boundary (topology) , control (management) , computer science , mathematics , engineering , control engineering , algorithm , psychology , paleontology , mathematical analysis , physics , genetics , classical mechanics , quantum mechanics , artificial intelligence , psychoanalysis , biology
The optimal control problem for a class of singularly perturbed time‐delay composite systems affected by external disturbances is investigated. The system is decomposed into a fast linear subsystem and a slow time‐delay subsystem with disturbances. For the slow subsystem, the feedforward compensation technique is proposed to reject the disturbances, and the successive approximation approach (SAA) is applied to decompose it into decoupled subsystems and solve the two‐point boundary value (TPBV) problem. By combining with the optimal control law of the fast subsystem, the feedforward and feedback composite control (FFCC) law of the original composite system is obtained. The FFCC law consists of analytic state feedback and feedforward terms and a compensation term which is the limit of the adjoint vector sequence. The compensation term can be obtained from an iteration formula of adjoint vectors. Simulation results are employed to test the validity of the proposed design algorithm. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society