Synthesis of Anisotropic Suboptimal PID Controller for Linear Discrete Time-Invariant System with Scalar Control Input and Measured Output


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Аннотация

This paper considers the problem of synthesis of a proportional-integral-derivative control law (PID controller) for a linear discrete time-invariant system with scalar control input and measured output operating under influence of the stochastic disturbances with uncertainty described in terms of the mean anisotropy. The closed-loop system abilities to attenuate the disturbances are quantitatively characterized by the anisotropic norm. Sufficient existence conditions for the anisotropic suboptimal controller that stabilizes the closed-loop system and guarantees that its anisotropic norm is strictly bounded by a given threshold value are derived.

Авторлар туралы

M. Tchaikovsky

Academician Pilyugin Center; Trapeznikov Institute of Control Sciences

Хат алмасуға жауапты Автор.
Email: mmtchaikovsky@hotmail.com
Ресей, Moscow; Moscow

V. Timin

Trapeznikov Institute of Control Sciences

Хат алмасуға жауапты Автор.
Email: timin.victor@rambler.ru
Ресей, Moscow

A. Kurdyukov

Trapeznikov Institute of Control Sciences

Email: timin.victor@rambler.ru
Ресей, Moscow

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