Robust Adaptive Backstepping Control of a Magnetic Levitation System

Adaptive Robust Dynamic Surface Control for a Magnetic Levitation System

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...

Adaptive Inverse Optimal Control of a Magnetic Levitation System

Robust Adaptive Backstepping Control of Inverted Pendulum on Cart System

In this paper a design methodology for a novel robust adaptive backstepping controller for the stabilization control of an inverted pendulum on a movable cart, which is a benchmark control problem in the nonlinear control system paradigm, has been presented in a systematic manner. The proposed control law provides a systematic iterative formulation of a Lyapunov energy function for the inverted...

Control of a Hyperchaotic System Via Generalized Backstepping Method

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

Robust Control Design of a Single Degree-of-freedom Magnetic Levitation System by Quantitative Feedback Theory

A magnetic levitation (maglev) system is inherently nonlinear and open-loop unstable because of the nature of magnetic force. Most controllers for maglev systems are designed based on a nominal linearized model. System variations and uncertainties are not accommodated. The controllers are generally designed to satisfy gain and phase margin specifications, which may not guarantee a bound on the ...