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Optimal control of linear systems with delays in state and control via Walsh functions

Optimal control of linear systems with delays in state and control via Walsh functions

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© The Institution of Electrical Engineers
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The paper presents a parameter-embedding approach to the optimal control of linear time-delay systems, and develops a simple computational algorithm via Walsh functions. The algorithm employs the concept of Walsh operational matrices for delay and advance. These operational matrices provide us with a means of numerically integrating differential equations with delayed and advanced arguments; a major task in the process of computing optimal controls for time-delay systems. An attractive feature of the present method is its ultimate simplicity and the resulting piecewise constant controls are convenient in practical implementation.

Inspec keywords: differential equations; delays; linear systems; optimal control; Walsh functions

Other keywords: Walsh functions; time-delay systems; linear systems; Walsh operational matrices; optimal control; differential equations; parameter-embedding approach

Subjects: Distributed parameter control systems; Optimal control; Mathematical analysis

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