Displaying similar documents to “State estimation for a class of nonlinear systems”

On the state observation and stability for uncertain nonlinear systems

Mohamed Ali Hammami (2000)

Kybernetika

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In this paper, we treat the class of nonlinear uncertain dynamic systems that was considered in [3,2,1,4]. We consider continuous-time dynamical systems whose nominal part is linear and whose uncertain part is norm-bounded. We study the problems of state observation and obtaining stabilizing controller for uncertain nonlinear systems, where the uncertainties are characterized by known bounds.

A variable structure observer for the control of robot manipulators

Abdelkader Abdessameud, Mohamed Khelfi (2006)

International Journal of Applied Mathematics and Computer Science

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This paper deals with the application of a variable structure observer developed for a class of nonlinear systems to solve the trajectory tracking problem for rigid robot manipulators. The analyzed approach to observer design proposes a simple design methodology for systems having completely observable linear parts and bounded nonlinearities andor uncertainties. This observer is basically the conventional Luenberger observer with an additional switching term that is used to guarantee...

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

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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...

Linearization by completely generalized input-output injection

Virgilio López Morales, Franck Plestan, Alain Glumineau (1999)

Kybernetika

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The problem addressed in this paper is the linearization of nonlinear systems by generalized input-output (I/O) injection. The I/O injection (called completely generalized I/O injection) depends on a finite number of time derivatives of input and output functions. The practical goal is the observer synthesis with linear error dynamics. The method is based on the I/O differential equation structure. Thus, the problem is solved as a realization one. A necessary and sufficient condition...

Observer design using a partial nonlinear observer canonical form

Klaus Röbenack, Alan Lynch (2006)

International Journal of Applied Mathematics and Computer Science

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This paper proposes two methods for nonlinear observer design which are based on a partial nonlinear observer canonical form (POCF). Observability and integrability existence conditions for the new POCF are weaker than the well-established nonlinear observer canonical form (OCF), which achieves exact error linearization. The proposed observers provide the global asymptotic stability of error dynamics assuming that a global Lipschitz and detectability-like condition holds. Examples illustrate...

Powerful nonlinear observer associated with field-oriented control of an induction motor

Abdellah Mansouri, Mohammed Chenafa, Abderrahmane Bouhenna, Eric Etien (2004)

International Journal of Applied Mathematics and Computer Science

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In this paper, we associate field-oriented control with a powerful nonlinear robust flux observer for an induction motor to show the improvement made by this observer compared with the open-loop and classical estimator used in this type of control. We implement this design strategy through an extension of a special class of nonlinear multivariable systems satisfying some regularity assumptions. We show by an extensive study that this observer is completely satisfactory at low and nominal...