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...

Abstract— In this paper a robust chattering free backstepping sliding mode controller is developed for the attitude stabilization and trajectory tracking control of quadrotor helicopter with external disturbances. The control scheme is developed based on backstepping technique and a sliding surface is introduced in the final stage of the algorithm. To attenuate the chattering problem caused by ...

A robust adaptive control approach is proposed for underactuated surface ship linear path-tracking control system based on the backstepping control method and Lyapunov stability theory. By employing T-S fuzzy system to approximate nonlinear uncertainties of the control system, the proposed scheme is developed by combining “dynamic surface control” (DSC) and “minimal learning parameter” (MLP) te...

This paper investigates the attitude tracking problem for rigid spacecraft. An adaptive backstepping sliding mode control law is proposed to solve this problem in the presence of inertia uncertainties and external disturbances. The control scheme is developed by combining sliding mode control with adaptive backstepping technique to achieve fast and accurate tracking responses. The proposed cont...

In this paper, the robust tracking control scheme is proposed for a class of uncertain multi-input and multi-output (MIMO) nonlinear systems with input saturation and unknown external disturbance based on the recurrent wavelet neural network disturbance observer (RWNNDO) and the backstepping technique. And then, the developed robust tracking control scheme is applied to an unmanned aerial vehic...

This paper considers the cooperative control of a group of autonomous underactuated vessels (AUV). The control objective for each vessel is to maintain its position in the formation while Formation Reference Point (FRP) tracks a predefined spatial path. In order to achieve this goal, we use vectorial backstepping to solve two subproblems: one is geometric task, anther is dynamic task. The forme...

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...

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...