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 article has demonstrated chaos Control in the Lorenz using the backstepping approach. Backstepping method has positive parameters. mostly, parameters are selected arbitrarily , the values of these parameters are significant because the incorrect values lead to instability. Genetic algorithm finds best values for parameters. GA by minimizing the fitness function can find the optimal values ...

In this paper, we present a global adaptive output feedback control scheme for a class of uncertain nonlinear systems to which adaptive observer backstepping method may not be applicable directly. The allowed output feedback structure includes quadratic dependency of the unmeasured states and output-dependent nonlinearities appearing not only additively, but also multiplicatively. Our novel des...

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...

An adaptive backstepping fuzzy-immune controller for a class of chaotic systems is proposed. An adaptive backstepping fuzzy method and adaptive laws are used to approximate nonlinear functions and the unknown upper bounds of uncertainty, respectively. The proposed adaptive backstepping fuzzy-immune controller guarantees the stability of a class of chaotic systems while maintaining good tracking...

<span lang="EN-US">This work studies an optimal trajectory tracking of a wheeled mobile robot with the objective minimizing energy consumption. First, mathematical model, which takes into account kinematic model and dynamic actuators is presented. Then, backstepping controller designed its parameters are tuned to satisfy several strict criteria such as rapid convergence, matching desired ...

This paper considers the problem of adaptive output feedback tracking control for a class of nonstrict-feedback nonlinear systems with unknown time-varying delays and unknown backlash-like hysteresis. Fuzzy logic systems are used to estimate the unknown nonlinear functions. Based on the Lyapunov–Krasovskii method, the control scheme is constructed by using the backstepping and adaptive techniqu...

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...