The design of controller for nonlinear system in strict feedback form which the equilibrium point is origin focus study. Backstepping technique applied. Recursive used backstepping control technique. Using approach, we are given a reasonably simple method to law with these properties. closed-loop system’s global asymptotic stability attained by incorporating Lyapunov function; this case, quadra...

In this paper, we apply backstepping control method to derive new results for the adaptive controller and synchronizer design for the Arneodo chaotic system (1980), when the system parameters are unknown. First, we design an adaptive backstepping controller to stabilize the Arneodo system to its unstable equilibrium at the origin. Next, we design an adaptive backstepping controller to achieve g...

This paper addresses the analysis, design, and application of observer-based nonlinear controls by combining feedback linearization (FBL) and backstepping (BS) techniques with Luenberger observers. Complete development of observer-based controls is presented for a bioprocess. Controllers using input-output feedback linearization and backstepping techniques are designed first, assuming that all ...

In dealing with a large-scale system, one usually does not have adequate knowledge of the plant parameters and interactions among subsystems. The decentralized adaptive technique, designed independently for local subsystems and using locally available signals for feedback propose, is an appropriate strategy to be employed. In the context of decentralized adaptive control, a number of results ha...

This paper considers the stabilization problem of the Acrobot, a widely studied benchmark nonlinear under-actuated mechanical system. For such systems the design of control Law becomes a challenging task owing to complex internal dynamics and lack of feedback linearizibility. These result in need of closed form solutions for highly nonlinear equations or hybrid/switching controllers. A novel no...

In this Letter backstepping design is proposed for controlling chaotic systems. The tool consists in a recursive procedure that combines the choice of a Lyapunov function with the design of feedback control. The advantages of the method are the following: (i) it represents a systematic procedure for controlling chaotic or hyperchaotic dynamics; (ii) it can be applied to several circuits and sys...

This paper presents a design framework for the stabilization of a class of underactuated mechanical systems. By utilizing nonregular static state feedbacks, these systems are transformed into a class of nonlinear systems with chain structures. Then, controller design is presented by applying the backstepping design technique. The design procedure is applied to an underactuated robotic system an...

An adaptive fuzzy neural networks (FNN) output feedback control approach is proposed for a class of multi-input and multi-output (MIMO) pure-feedback nonlinear systems with unknown backlash-like hysteresis and immeasurable states. The state observers are designed to estimate the unmeasured states, the filtered signals are introduced to circumvent algebraic loop problem encountered in the implem...