Observer-based output feedback controller for a class of nonlinear systems

Int. J. Control Autom. Syst.

Bensaker

et al. 2015

This paper addresses the problem of accurately estimating the mechanical and magnetic state variables as well as the stator and rotor resistances of induction motors using only the stator current measurements and the supplied stator voltages from an appropriate nonlinear parametrization. The involved estimation is carried out by a high gain adaptive observer designed bearing in mind the available fundamental results together with the useful implementation features, namely conception simplicity and computational efficiency. An exponential convergence of the state and parameter estimation errors is established under admissible assumptions, namely the persistent excitation requirement has been particularly reduced thanks to the introduction of unknown parameter characteristic indices. The effectiveness of the adaptive observer is highlighted throughout simulation results involving a typical induction motor.

Section: Simulation Resultsmentioning

confidence: 99%

“…Before giving the main outlines of the proof, let us point out some useful properties, related to the function φ and the persistent excitation condition (30), that will be used throughout the proof (See [25] for further details).…”

Section: Adaptive Observer Design For the Triangular Formmentioning

confidence: 99%

High gain adaptive observer design for sensorless state and parameter estimation of induction motors

Maouche

Int. J. Control Autom. Syst.

Bensaker

et al. 2015

“…The voltage,¯ allowing the obtaining of the above desired state trajectories is computed as in (Hajji et al [2008]) where the authors proposed a high gain control law for the induction model. One emphasizes that the model is not controlled during simulation but is in an open loop.…”

Section: Simulation Resultsmentioning

confidence: 99%

High gain observer for sensorless induction motor

Dib

Farza

IFAC Proceedings Volumes

et al. 2011

Self Cite

The synthesis of a high gain observer for the on-line estimation of the rotor fluxes, the motor speed and the load torque of the induction motor from the current and voltage measurements is presented. The synthesis of the observer is preceded by an observability analysis of the induction motor leading thereby to a sufficient condition. The obtained condition is discussed and it is shown that it is generally satisfied in practice when considering the usual operating conditions of the motor. Of particular interest, an implementation procedure is proposed to deal with the observation singularities. The proposed observer has been validated in simulation using the reference trajectories of a realistic proposed benchmark where the induction motor model remains in an unobservable region and not just go across.

“…: due to lack of place, the proof is not given but its main outlines are similar to those given in [16].…”

Section: State Feedback Controlmentioning

confidence: 90%

Adaptive output feedback high gain controller for a class of nonlinear systems

Maatoug

Farza

2009 6th International Multi-Conference on Systems, Signals and Devices

et al. 2009

Self Cite

International audienceIn this paper, an adaptive output feedback controller of MIMO nonlinear systems with unknown constant parameters is considered. This controller obtained by simply combining an appropriate high gain state feedback control with a high gain adaptive observer. The convergence of the later is guaranteed under certain persistent excitation condition. Furthermore, it is shown that a filtered integral action can be simply incorporated into the control design to carry out a robust compensation of step like disturbances while reducing appropriately the noise control system sensitivity. An academic adaptive tracking problem, involving a nonlinear double integrator, is addressed to show the effectiveness of the proposed control design method