The position tracking control of induction motors with parameter uncertainties and load torque disturbance is addressed. Neural networks are employed to approximate the nonlinearities and an adaptive backstepping technique is used to construct controllers. The proposed adaptive neural controllers guarantee that the tracking error converges into a small neighborhood of the origin. Compared with ...

. On considère une classe de systèmes non-linéaires pour lesquels la technique de synthèse par backstepping n’est pas applicable. On présente un critère pour la synthèse d’une commande hybride faisant l’union d’une commande par backstepping et d’une commande locale. Cette commande hybride rend le système bouclé globalement asymptotiquement stable. Le critère de sélection repose sur le choix de ...

In this paper, the backstepping design scheme is developed for the tip-position trajectory tracking control of single-link flexible robotic manipulator systems. An infinite dimensional dynamic model of a single-link flexible manipulator is derived through the assumed modes method associated with Lagrange approach. For simplicity, a linearized system model would be analyzed and investigated for ...

A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. The idea of this method is to augment the (virtual) controls as states during each recursive step. As new dynamics are included in the design, the resulting controller is in ...

This paper focuses on the consensus problem of multiple high-order systems with uncertainties. Since it is difficult to use matrix theory approaches to design consensus controllers for a class of multiple high-order uncertain nonlinear systems, in this paper a set of consensus control laws are proposed by employing adaptive control theory and a backstepping technique. The distributed virtual co...

The aim of this paper is to apply a resent implicit fault tolerant control (FTC) technique based backstepping to induction motor (IM). Mathematical models of the motor, the disturbances as well as the faults signals have been developed. Using these models, the dynamic behavior of motor is studied. A backstepping control is then synthesized and applied to the system. Based on the simulation resu...

In this paper we consider the benchmark nonlinear control problem and use backstepping to design several active controllers for tracking and disturbance attenuation; these two problems are much more challenging than stabilization. We show that the significant flexibility of backstepping can be exploited to reduce the required control effort and to eliminate the winding problem. ( 1998 John Wile...

Locally optimal backstepping is extended to output-feedback systemswith input disturbances and nonlinearities that depend only on the measured output. The constructive design blends worst-case "ltering with backstepping, and results in a disturbance attenuating dynamic output-feedback controller that achieves semiglobal inverse optimality and local near-optimality. 2001 Published by Elsevier Sc...

In this paper, we investigate the control and synchronization of chaos in nonlinear gyros. The control analysis is based on backstepping approach that interlace the appropriate choice of a Lyapunov function, while the synchronization is based on adaptive backstepping design. The designed control functions ensures stable controlled and synchronized states for two identical nonlinear gyros. Numer...

In this paper, we consider the L∞-bounded robust control problem for a class of nonlinear cascade systems with disturbances. Sufficient conditions are provided under which a hard bound is imposed on the system performance measure. The backstepping approach is used for controller design. Examples are provided to illustrate the method. Key-words. Nonlinear cascade systems, L∞ bound, robust contro...