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Journal of Computer and Systems Sciences International
Published in: Journal of Computer and Systems Sciences International 1/2023

29-09-2023 | CONTROL IN DETERMINISTIC SYSTEMS

Synthesis of Parameters of Proportionally-Integral and Proportionally-Integral-Differential Controllers for Stationary Linear Objects with Nonzero Initial Conditions

Author: D. V. Shatov

Published in: Journal of Computer and Systems Sciences International | Issue 1/2023

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Abstract

The problem of the synthesis of proportional-integrating (PI) and proportional-integral-differentiating (PID) controllers in a nonstandard formulation is considered. For a linear one-dimensional control object with nonzero initial conditions, it is required to find a controller that is optimal in the sense of a quadratic functional of the state of the object with a regularization additive in control. The synthesis procedure is a solution of the corresponding quadratic optimization problem using a method similar to the conjugate gradient method (the direction at each step is calculated by the conjugate gradient method, and the step length is calculated by the Armijo rule). Numerical examples illustrate the effectiveness of the proposed algorithm in the synthesis of controllers for models of control objects that are common in practice.
previous article Impulse Transfer Matrix of a Time-Varying System of Differential-Algebraic Equations
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Metadata
Title
Synthesis of Parameters of Proportionally-Integral and Proportionally-Integral-Differential Controllers for Stationary Linear Objects with Nonzero Initial Conditions
Author
D. V. Shatov
Publication date
29-09-2023
Publisher
Pleiades Publishing
Published in
Journal of Computer and Systems Sciences International / Issue 1/2023
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230723010082

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