The robust H∞ control problem for the generator excitation system with the damping coefficient uncertainty and external disturbances, is addressed. Storage functions of the control system are constructed based on modified adaptive backstepping sliding mode control method and Lyapunov method. A nonlinear robust H∞ controller and a parameter updating law are obtained simultaneously. The controlle...

A novel Lyapunov function, which contains a concept of transfer function, was constructed to prove the rightness of a new kind of robust backstepping filter derivative control method. Meanwhile, the relationship between Lyapunov function and transfer function was established, which is an important concept that can be applied in a large family of control systems. Also, the backstepping design te...

This paper deals with the problem of robust adaptive controller design for a class of Multi-Input and Multi-Output (MIMO) time delay uncertain systems based on backstepping method and fuzzy logical system (FLS). This problem aims at designing robust adaptive controller for all parameter uncertainties and time delay of MIMO system with backstepping method. This studied system consists of some su...

In this paper, we consider the L∞-bounded robust control problem for a class of nonlinear cascade systems with disturbances. Sufficient conditions are provided under which a hard bound is imposed on the system performance measure. The backstepping approach is used for controller design. Examples are provided to illustrate the method. Key-words. Nonlinear cascade systems, L∞ bound, robust contro...

In this paper, a novel one-step backstepping design scheme for an adaptive output feedback control of uncertain nonlinear system with a higher order relative degree and nonparametric uncertainties is proposed. The proposed method can design an output feedback based adaptive controller through a backstepping of only one step even when the controlled system has a higher order relative degree. Cop...

This paper presents a decentralized control scheme for the formation control of multiple electrically driven mobile robots based on artificial potential functions and backstepping control method. Backstepping control is used to extend the theoretical potential fields based formation control methods designed for mass-less kinematic agents to the case of fully actuated electrically driven mobile ...

We present two redesigns to robustify backstepping control laws against dynamic uncertainties at the input of the plant. In the first redesign we construct a passivating control law from a CLF obtained by backstepping. The second redesign is a simplification of the first, useful for high order systems. We also compare the stability margins of the two main versions of backstepping: cancelation a...

The paper presents the design of a mini-UAV attitude controller using the backstepping method. Starting from the nonlinear dynamic equations of the mini-UAV, by using the backstepping method, the authors of this paper obtained the expressions of the elevator, rudder, and aileron deflections, which stabilize the UAV at each moment to the desired values of the attitude angles. The attitude contro...

The aim of this work is to compute a level backstepping control strategy for a coupled tanks system. The coupled tanks plant is a component included in the water treatment system of power plants. The nonlinear-model of the process was designed and implemented in MatlabSimulink. The advantages of the control method proposed is that it takes into consideration the nonlinearity which can be useful...

This paper presents an adaptive backstepping control method for trajectory tracking and stabilization of an omnidirectional wheeled mobile robot with parameter variations and uncertainties caused by friction and slip. The dynamic model of the robot with three independent driving omnidirectional wheels equally spaced at 120 degrees from one another is briefly introduced. With the dynamic model, ...