New approach to the optimal control of delay systems via Chebyshev series
type: Item
instance of: scholarly article
title: New approach to the optimal control of delay systems via Chebyshev series
zbMATH Open document ID: 0619.93043
DOI: 10.1016/0016-0032(87)90043-3
author: Jyh-Horng Chou
author: Ing-Rong Horng
published in: Journal of the Franklin Institute
publication date: 1987-01-01T00:00:00Z
review text: Based on the Chebyshev series, a directly computational formulation in matrix form is established for evaluating the optimal control and trajectory of time-delay systems. In a comparison with the previous work ``see the authors, Int. J. Control 41, 1221-1234 (1985; Zbl 0562.93034)], the formulation is shown to be more straightforward and convenient for digital computation. Thus the difficulty in obtaining a solution of the two-point boundary-value problem with both delayed and advanced arguments is circumvented. An example compares the actual solution with the one obtained using the technique of this paper.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 44A45
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 4006102
zbMATH Keywords: Chebyshev series
zbMATH Keywords: time-delay systems
MaRDI profile type: Publication
full work available at URL: 0016-0032(87)90043-3
OpenAlex ID: W1975546224
cites work: Optimal control of delay systems via block pulse functions
cites work: Optimal control of linear systems with delays in state and control via Walsh functions
cites work: Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series
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cites work: Shifted Chebyshev series analysis of linear optimal control systems incorporating observers
cites work: Q4744397
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description: scientific article; zbMATH DE number 4006102