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On an invariant design of feedbacks for bilinear control systems of second order

Vasiliy Belozyorov (2001)

International Journal of Applied Mathematics and Computer Science

The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability...

On directional change and anti-windup compensation in multivariable control systems

Dariusz Horla (2009)

International Journal of Applied Mathematics and Computer Science

The paper presents a novel description of the interplay between the windup phenomenon and directional change in controls for multivariable systems (including plants with an uneven number of inputs and outputs), usually omitted in the literature. The paper also proposes a new classification of anti-windup compensators with respect to the method of generating the constrained control signal.

On finite time stability with guaranteed cost control of uncertain linear systems

Atif Qayyum, Alfredo Pironti (2018)

Kybernetika

This paper deals with the design of a robust state feedback control law for a class of uncertain linear time varying systems. Uncertainties are assumed to be time varying, in one-block norm bounded form. The proposed state feedback control law guarantees finite time stability and satisfies a given bound for an integral quadratic cost function. The contribution of this paper is to provide a sufficient condition in terms of differential linear matrix inequalities for the existence and the construction...

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