Optimal Control for Discrete‐time Descriptor Noncausal Systems

In this paper, optimal control problems governed by linear discrete‐time descriptor noncausal systems (with quadratic input variables) are investigated in order. A descriptor system assumed to be regular alone is called descriptor noncausal system. According to Bellman's principle of optimality...

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Bibliographic Details
Published inAsian journal of control Vol. 23; no. 4; pp. 1885 - 1899
Main Author Shu, Yadong
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.07.2021
Subjects
Control systems
descriptor noncausal system
Dynamic programming
Optimal control
Optimization
quadratic input
recurrence equation
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Summary:In this paper, optimal control problems governed by linear discrete‐time descriptor noncausal systems (with quadratic input variables) are investigated in order. A descriptor system assumed to be regular alone is called descriptor noncausal system. According to Bellman's principle of optimality in dynamic programming, a recurrence equation for simplifying the optimal control problems is derived. Then, employing the recurrence equation, a bang‐bang optimal control problem subject to a linear descriptor noncausal system and an optimal control problem subject to a descriptor noncausal system with quadratic input variables are both settled, and the optimal solutions are given through exact expressions. A numerical example is presented to illustrate the effectiveness of the results obtained concerning the bang‐bang optimal control problem.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2343