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Global stability of linearizing control with a new robust nonlinear observer of the induction motor

Mohammed Chenafa, Abdellah Mansouri, Abderrahmane Bouhenna, Eric Etien, Abdelkader Belaidi, Mouloud Denai (2005)

International Journal of Applied Mathematics and Computer Science

This paper mainly deals with the design of an advanced control law with an observer for a special class of nonlinear systems. We design an observer with a gain as a function of speed. We study the solution to the output feedback torque and rotor flux-tracking problem for an induction motor model given in the natural frame. We propose a new robust nonlinear observer and prove the global stability of the interlaced controller-observer system. The control algorithm is studied through simulations and...

H ∞ control of discrete-time linear systems constrained in state by equality constraints

Dušan Krokavec (2012)

International Journal of Applied Mathematics and Computer Science

In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discretetime systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task....

Infinite eigenvalue assignment by an output feedback for singular systems

Tadeusz Kaczorek (2004)

International Journal of Applied Mathematics and Computer Science

The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.

Invariant factors assignment for a class of time-delay systems

Jean-Jacques Loiseau (2001)

Kybernetika

It is well–known that every system with commensurable delays can be assigned a finite spectrum by feedback, provided that it is spectrally controllable. In general, the feedback involves distributed delays, and it is defined in terms of a Volterra equation. In the case of multivariable time–delay systems, one would be interested in assigning not only the location of the poles of the closed–loop system, but also their multiplicities, or, equivalently, the invariant factors of the closed–loop system....

ℓ 1 -optimal control for multirate systems under full state feedback

Johannes Aubrecht, Petros G. Voulgaris (1999)

Kybernetika

This paper considers the minimization of the ℓ ∞ -induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that...

Low-Dimensional Description of Pulses under the Action of Global Feedback Control

Y. Kanevsky, A. A. Nepomnyashchy (2012)

Mathematical Modelling of Natural Phenomena

The influence of a global delayed feedback control which acts on a system governed by a subcritical complex Ginzburg-Landau equation is considered. The method based on a variational principle is applied for the derivation of low-dimensional evolution models. In the framework of those models, one-pulse and two-pulse solutions are found, and their linear stability analysis is carried out. The application of the finite-dimensional model allows to reveal...

Minimax LQG control

Ian Petersen (2006)

International Journal of Applied Mathematics and Computer Science

This paper presents an overview of some recent results concerning the emerging theory of minimax LQG control for uncertain systems with a relative entropy constraint uncertainty description. This is an important new robust control system design methodology providing minimax optimal performance in terms of a quadratic cost functional. The paper first considers some standard uncertainty descriptions to motivate the relative entropy constraint uncertainty description. The minimax LQG problem under...

Motion planning and feedback control for a unicycle in a way point following task: The VFO approach

Maciej Michałek, Krzysztof Kozłowski (2009)

International Journal of Applied Mathematics and Computer Science

This paper is devoted to the way point following motion task of a unicycle where the motion planning and the closed-loop motion realization stage are considered. The way point following task is determined by the user-defined sequence of waypoints which have to be passed by the unicycle with the assumed finite precision. This sequence will take the vehicle from the initial state to the target state in finite time. The motion planning strategy proposed in the paper does not involve any interpolation...

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