We present an adaptive observer design for a first-order hyperbolic system of Partial Differential Equations with uncertain boundary parameters. The design relies on boundary measurements only, and is based on a backstepping approach. Using a Gradient Descent technique, we prove exponential convergence of the distributed system and estimation of the parameter. This method is applied to the esti...

The paper presents a new approach to design nonlinear controller for switched reluctance motors (SRMs) based on backstepping technique and artificial neuron network (ANN) in flux estimator. Backstepping with an ANN estimator will be applied controlling SRMs which have drive model. was trained off-line using backpropagation algorithm. stability of the closed control loop analyzed proved accrodin...

We present a solution to the following reduction problem for asymptotic stability of closed sets in nonlinear systems. Given two closed, positively invariant subsets of the state space of a nonlinear system, Γ1 ⊂ Γ2, assuming that Γ1 is asymptotically stable relative to Γ2, find conditions under which Γ1 is asymptotically stable. We also investigate analogous reduction problems for stability an...

A novel adaptive nonlinear controller based on backstepping with integrator is proposed for motion control systems. Backstepping is a practical nonlinear control scheme based on Lyapunov design approach, which can therefore guarantee the convergence of the position tracking error to zero. We utilize the integral action in the backstepping to increase control action in the steady state against t...

This paper presents hyperchaos anti-synchronization of different hyperchaotic systems using Active Generalized Backstepping Method (AGBM). The proposed technique is applied to achieve hyperchaos antisynchronization for the Lorenz and Lu dynamical systems. Generalized Backstepping Method (GBM) is similarity to Backstepping and more applications in systems than it. Bckstepping method is used only...

The ability of backstepping controllers to deal with nonlinearities make this technique a suitable candidate for the control of small fixed-wing Unmanned Aerial Vehicles (UAVs). The authors have already proposed a comprehensive approach combining backstepping with PID controllers for simultaneous longitudinal and latero-directional control of fixed-wing UAVs, achieving good performance even wit...

A compensation scheme is presented to compensate the effect of dead-zone nonlinearity in a class of uncertain discrete-time nonlinear systems. Chebyshev Neural Network (CNN) is utilized to compensate the dead-zone nonlinearity and the unknown nonlinear functions are also approximated. The control design is attained by introducing dead-zone nonlinearity and using it in the controller design with...

An adaptive fuzzy control method is developed to control chaos in the permanent magnet synchronous motor drive system via backstepping. Fuzzy logic systems are used to approximate unknown nonlinearities, and an adaptive backstepping technique is employed to construct controllers. The proposed controller can suppress the chaos of PMSM and track the reference signal successfully. The simulation r...

In the context of failure control servo system driven by twin motors, there are still no available results to compensate unknown actuator failures which seem inevitable in practice adaptive backstepping technique. Therefore, rise reliability system, we aim at addressing such a problem proposing an robust compensation scheme based on technique for motors. Unlike traditional backstepping, estimat...