This paper considers the position tracking problem of a magnetic levitation system in the presence of uncertainties of physical parameters. The dynamic surface control (DSC) technique is modified and applied to the system under study, to overcome the problem of “explosion of terms” associated with the backstepping design procedure. Input-to-state stability (ISS) property is ensured by the robus...

This paper represents a robust backstepping tracking control based on a Lyapunov redesign for Skid‐Steered Wheeled Mobile Robots (WMRs). We present kinematic and dynamic models that explicitly relate the perturbations to the skidding in order to improve the tracking performance during real running. A robust controller is synthesized in the backstepping approach ...

A novel approach to solve a stabilization problem of an active suspension system using a quarter car model is presented. We apply a combination of our results for the framework of the approximate based direct discrete-time design and the Euler based discrete-time backstepping technique. This stabilization problem is very interesting since utilizing a simple quadratic Lyapunov function brings th...

In this study, mathematical modeling of biplane quadrotor with slung load is proposed. Performance the degrade while swinging so to compensate it nonlinear observer based backstepping controller designed that can not only handle disturbance generated by but also capable tackle partial rotor failure and wind gust. Simulation study carried out considering (only for mode), gust, (for all three mod...

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...

This paper deals with the design of optimal backstepping controller, by using the chaotic particle swarm optimization (CPSO) algorithm to control of chaos in Lur’e like chaotic system. The backstepping method consists of parameters which could have positive values. The parameters are usually chosen optional by trial and error method. The controlled system provides different behaviors for differ...

This paper presents a new strategy to improve the performances of speed control of a Double-Fed Induction Machine (DFIM), whose stator and rotor windings are connected to a voltage inverter PWM (Pulse Width Modulation) independently. This work shows the robustness of the adaptive Backstepping control strategy applied to the DFIM. The main objective of this work is to stabilize the speed of the ...

This paper deals with the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The mentioned method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. At first, a nonlinear recursive active backstepping control vector is designed such that state variables of the hyperchaotic Wang s...

Robust adaptive control of nonlinear systems with unknown state delay A robust dynamic inversion technique for asymptotic tracking control of an aircraft Non-linear control of variable-speed wind turbines with permanent magnet synchronous generators: a robust backstepping approach A new robust nonlinear control algorithm for the regulation of blood glucose in diabetic patients Robust backsteppi...