This paper proposes a fuzzy-identification-based adaptive control scheme for the chaotic dynamic systems using backstepping control approach, which is referenced as adaptive fuzzy backstepping control (AFBC). The proposed AFBC offers a design approach to drive the chaotic trajectory to track a desired trajectory, and it is comprised of a fuzzy backstepping controller and a robust controller. Th...

This paper investigates adaptive output feedback control problem for switched uncertain nonlinear systems with input quantization, unmeasured system states and state constraints. Firstly, fuzzy logic are introduced to identify uncertainties, then the based observer is constructed estimate unavailable states. Secondly, combing backstepping technique barrier Lyapunov function method, an law desig...

One of the most important phenomenons in some systems is chaos; so control chaotic systems is difficult and shows the abilities of control methods. In this paper, first known chaotic systems, Lorenz equations, was selected as a chaotic system. One of the best control methods that would be used for stabilization this system, was Backstepping. In this paper this method is improved to Generalized ...

This paper addresses analysis and design issues in adaptive PID control for linear second order minimal phase processes using the backstepping algorithm. The first step consists in adding an integral action to the basic backstepping algorithm to obtain a zero static error. An integrator is therefore added to the plant model and is then slid back to the controller equation at the end of the desi...

The problem of compensation of infinite-dimensional actuator or sensor dynamics of more complex type than pure delay was solved recently using the backstepping method for PDEs. In this paper we construct an explicit feedback law for a multi-input LTI system which compensates the wave PDE dynamics in its input and stabilizes the overall system. Our design is based on a novel infinite-dimensional...

Abstract This paper introduces a distributed observer‐based emotional command‐filtered backstepping (DOECFB) approach for leader‐following cooperative output‐feedback control of heterogenous strict‐feedback multi‐agent systems (MAS) under mismatched uncertainties and input saturation. A novel state observer is designed based on radial‐basis neural networks (RBENNs) that approximate model dynami...

This paper develops a robust adaptive control for a class of nonlinear systems using the backstepping method. The proposed robust adaptive control is a recursive method based on the Lyapunov synthesis approach. It ensures that, for any initial conditions, all the signals of the closed‐loop system are regularly bounded and the tracking errors converge to zero. The re...

Abstract Ball and Beam system is one of the most popular important laboratory models for teaching control systems. This paper proposes a new strategy to position ball beam system. Firstly, nonlinear controller proposed based on backstepping approach. Secondly, in order adapt online dynamic law, adaptive laws are developed estimate uncertain parameters. The stability proved Lyapunov theorem. Sim...