Backstepping design for robust stabilizing control of nonlinear systems with time-delay is investigated in this paper. It is shown that the backstepping design for time-delay systems based on the Lyapunov-Razumikhin function is not a trivial extension of the case of nonlinear nondelay systems due to the existence of the Razumikhin condition. The key point is how to deal with the non-triangular ...

The dynamics of hydraulic systems are highly nonlinear and the system may be subjected to non-smooth and discontinuous nonlinearities due to directional change of valve opening, friction, etc. Aside from the nonlinear nature of hydraulic dynamics, hydraulic servo systems also have large extent of model uncertainties. To address these challenging issues, a robust state-feedback controller is des...

In this paper, we present a new scheme to design adaptive controllers for uncertain systems containing nonsmooth nonlinearities in the actuator device. The control design is achieved by introducing certain well defined sign functions and Neural Networks approximations and by using the backstepping technique. For the design and implementation of the controller, no knowledge is assumed on the unk...

This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furt...

In this paper the position control of a linear induction motor using adaptive fuzzy backstepping design with integral action is proposed. First, the indirect field oriented control for LIM is derived. Then, an integral backstepping design for indirect field oriented control of LIM is proposed to compensate the uncertainties which occur in the control. Finally, the fuzzy integral-backstepping co...

In this paper, an active backstepping design is proposed to achieve control and synchronization of a new hyperchaotic system. The proposed method is a systematic design approach and exists in a recursive procedure that interlaces the choice of a Lyapunov function with the design of the active control. The proposed controller enables stabilization of chaotic motion to the origin as well as synch...

This paper deals with the nonlinear control of a three-state continuous-stirred tank system (CSTR) using the backstepping technique. A nonlinear state transformation is introduced so that the backstepping technique could be utilized on the transformed system. The backstepping controller is first designed for the nominal CSTR system. Then an augmented backstepping control law is designed for the...

In this paper, we derive new results for backstepping controller design for the anti-synchronization of Arneodo chaotic system (1980). Backstepping control is a recursive procedure that combines the choice of a Lyapunov function with the design of a feedback controller. In anti-synchronization of chaotic systems, the states of the synchronized systems have the same absolute values, but opposite...

Dynamic surface control (DSC) method uses high gain filters to avoid the ”explosion of complexity” issue inherent in backstepping based controller designs. As a result, the closed loop system and filter dynamics possess time scale separation between them. This paper attempts to design a novel disturbance observer based dynamic surface controller using contraction framework. In doing so the stea...