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Variable Time Impulse System Optimization with Continuous Control and Impulse Control
Author(s) -
Wang Xiaohua,
Huang Yao,
Wang Hua,
Balakrishnan S.N.
Publication year - 2014
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.769
Subject(s) - impulse control , impulse (physics) , control theory (sociology) , optimal control , control system , computer science , variable (mathematics) , optimization problem , control variable , control engineering , mathematical optimization , control (management) , engineering , mathematics , algorithm , artificial intelligence , psychology , mathematical analysis , physics , quantum mechanics , machine learning , electrical engineering , psychotherapist
Optimal control of a variable time impulse system is considered in this study. Besides impulse control, the system is assumed to operate with continuous control also. Necessary conditions for the optimization of such system are derived using the calculus of variations. A reinforcement based solution technique called a single network adaptive critic ( SNAC ) method is developed in this paper to obtain an optimal solution. Details of the SNAC ‐based algorithm are presented. Simulation examples are also presented for illustrative purposes.