The adaptive backstepping controller for inverted pendulum is designed by using the general motion control model. Backstepping is a novel nonlinear control technique based on the Lyapunov design approach, used when higher derivatives of parameter estimation appear. For easy parameter adaptation, the mathematical model of the inverted pendulum converted into the motion control model. This conver...

This study deals with the control chaos using generalized backstepping method. This new method to control nonlinear systems was called generalized backstepping method because of its similarity to backstepping but its abilities to control more systems than backstepping. Generalized backstepping approach consists of parameters which accept positive values. The parameters are usually chosen option...

The nonlinear behavior analysis and chaos control for Duffing-Holmes chaotic system is discussed in the paper. In order to suppress the irregular chaotic motion, an optimal backstepping controller is designed. The backstepping method consists of parameters with positive values. The improper selection of the parameters leads to inappropriate responses or even may lead to instability of the syste...

This paper presents an adaptive backstepping controller for a class of multi input multi output (MIMO) underactuated system, with uncertain dynamics, in its original nonsquare form. The proposed controller combines a wavelet based backstepping controller and a robust control term to obtain the desired tracking performance. Proposed scheme utilizes the concept of regularized inverse for effectiv...

A novel approach to neural network based tracking-control of robot manipulator including actuator dynamics is proposed by using of backstepping method. A simple two-step backstepping is considered for an nlink robotic system, and a feedforward neural controller is designed at second step where structured and unstructured uncertainties in robot dynamics and actuator model are approximated by thi...

This paper presents a Variable Structure Adaptive Backstepping Controller (VS-ABC) for plants with relative degree one, using only input/output measurements. Instead of traditional integral adaptive laws for estimating the plant parameters, switching laws are used to increase robustness to parametric uncertainties and disturbances, as well as, to improve transient response. Moreover, the contro...

A bio-inspired neurodynamics based path-following controller of underactuated autonomous underwater vehicle (AUV) in the presence of ocean current is proposed. A kind of bio-inspired neurodynamics model and the backstepping path-following controller are combined in this paper. The bio-inspired neurodynamics model is applied to generate smooth forward and angular velocities, so that the sharp sp...

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...

An adaptive fuzzy control method is developed to control chaos in the permanent magnet synchronous motor drive system via backstepping. Fuzzy logic systems are used to approximate unknown nonlinearities, and an adaptive backstepping technique is employed to construct controllers. The proposed controller can suppress the chaos of PMSM and track the reference signal successfully. The simulation r...

Backstepping is a nonlinear control design tool for underactuated systems. Backstepping is used for output stabilization or tracking using feedback similarly to feedback linearization. In feedback linearization the stabilizing controller is designed entirely for a virtual input which is then mapped back to the physical input by completely canceling nonlinearities. In backstepping the system is ...