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Article information
2025 , Volume 30, ¹ 1, p.104-119
Chekhonadskikh A.V., Chekhonadskikh M.V.
Stabilization of SISO DAE control systems using PI-controller with aperiodic term
We explore a polynomial approach for design of optimal low-order controllers for SISO LTI DAE control systems. The critical root diagram technique and root polynomials were developed for optimal controllers design of classical control systems; both notions were successfully used for design of the DAE system including an unstable plant defined by an incorrect transfer fraction with a 6th degree numerator and a 4th degree denominator, closed by a PI3-controller. In our paper the same plant is stabilized by a PI-controller, which includes an aperiodic term; it provides better relative stability of the closed loop system and a possibility of simplifying controller’s structure without noticeable decrease of efficiency. The scheme of the method is the same as in classical control systems; it involves forming a root polynomial and then a system of polynomial equations; the solution or lack of itallows establishing whether pole location of a closed-loop system is realized in accordance with the critical root diagram; optimal and suboptimal values of control parameters in the case are found using the same equations. The transient response confirms an astatism and impulse freeness of the closed loop DAE system. Thus, the polynomial approach turns out to be a useful alternative to state-space design methods in DAEsystems. Some features and problems of DAE control system polynomial design are mentioned in the conclusion.
[link to elibrary.ru]
Keywords: descriptor system, low-order controller, pole location, relative stability, root polynomial, transient response
doi: 10.25743/ICT.2025.30.1.010
Author(s):
Chekhonadskikh Alexander Vasilievich
Dr. , Associate Professor
Position: Professor
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, Karl Marx Avenue, 20
Phone Office: (383) 346 11 66
E-mail: chekhonadskikh@corp.nstu.ru
SPIN-code: 1826-9092Chekhonadskikh Marina Valeryevna
Position: Senior Fellow
Office: Novosibirsk State Technical University
Address: 630073, Russia, Novosibirsk, Karl Marx Avenue, 20
Phone Office: (383) 346 13 59
E-mail: m.vasileva@corp.nstu.ru
SPIN-code: 7270-0856 References:
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Bibliography link:
Chekhonadskikh A.V., Chekhonadskikh M.V. Stabilization of SISO DAE control systems using PI-controller with aperiodic term // Computational technologies. 2025. V. 30. ¹ 1. P. 104-119
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