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...

It is the intent of this paper to add to, and improve the existing design tools for nonlinear output feedback systems. Considered here are systems, exhibiting parametric uncertainty, and containing nonlinearities dependent on the output alone. A lower triangular state transformation is utilised, equivalent to that obtained via the traditional and recursive backstepping algorithm. Extra damping ...

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, a novel problem of observer-based adaptive fuzzy fractional control for fractional order dynamic systems with commensurate orders is investigated; the control scheme is constructed by using the backstepping and adaptive technique. Dynamic surface control method is used to avoid the problem of “explosion of complexity” which is caused by backstepping design process. Fuzzy logic sy...

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...

When a mobile robot inspects tasks with complex requirements indoors, the traditional backstepping method cannot guarantee accuracy of trajectory, leading to problems such as instrument not being inside image and focus failure when grabs high zoom. In order solve this problem, paper proposes an adaptive based on double Q-learning for tracking controlling trajectory robots. We design incremental...

This paper presents an adaptive nonlinear position controller with velocity constraint, capable of combining the input-output linearization technique and Lyapunov stability theory. Based on the Lyapunov stability theory, the adaptation law of the proposed controller is derived along with the verification of the overall system’s stability. Computer simulation results demonstrate that the propose...

In this paper, a nonlinear adaptive speed controller for a permanent magnet synchronous motor (PMSM) based on a newly developed adaptive backstepping approach is presented. The exact, input-output feedback linearization control law is first introduced without any uncertainties in the system. However, in real applications, the parameter uncertainties such as the stator resistance and the rotor f...

Flexible manipulators are extensively used in industries. In this paper, backstepping method (BM) is used to control flexible manipulator. BM consists of parameters which accept positive values. The parameters are usually chosen variously. The system responses differently for each value. In this method, some paremeters exist, which, if not defined well, may cause some performance degrade. It is...