This paper investigates the problem of output-feedback adaptive stabilization control design for non-holonomic chained systems with strong non-linear drifts, including modelled nonlinear dynamics, unmodelled dynamics, and those modelled but with unknown parameters. An observer and an estimator are introduced for state and parameter estimates, respectively. By using the integrator backstepping a...

A new kind of adaptive backstepping method is proposed for simplified missile model of pitch channel with time-varying and uncertain parameters. Backstepping control is an effective method for coping with system uncertainties. Adaptive method is integrated with backstepping method and a Lyapunov function is constructed to guarantee the whole system is stable. Through the theoretical analysis an...

We consider general nonlinear systems with time-varying input and state delays for which we design predictor-based feedback controllers. Based on a time-varying infinitedimensional backstepping transformation that we introduce, our controller achieves global asymptotic stability in the presence of a time-varying input delay, which is proved with the aid of a strict Lyapunov function that we con...

The present paper presents a new solution for the stabilization and disturbance attenuation problems of the oscillating eccentric rotor (OER), an extensively studied non-linear under-actuated mechanical system. Designing control law for such systems is a challenging task owing to the under-actuation property, which poses problems in exact feedback linearization. Presented non-linear controller ...

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 major problem with photovoltaic systems is to extract the maximum power better performance and good efficiency as long there are large variations in atmospheric conditions. To do this, we made a comparative analysis between two controllers, Proportional-Integrator (PI) backstepping based on system up of parts, first Photovoltaic (PV) panels which used convert solar irradiation an electric c...

Hydraulic systems are widely used in manufacturing processes and transportation systems where energy intensive operations are performed and “machine” control is vital. A variety of ßow control products exist including manual directional control valves, proportional directional control valves, and servo-valves. The selection of a control valve actuation strategy is dependent on the system respon...

This paper focuses on the tracking and synchronization problems of hyperchaotic systems based on active backstepping method. The method consists of a recursive approach that interlaces the choice of a Lyapunov function with the design of feedback control. First, a nonlinear recursive active backstepping control vector is designed to track any desired trajectory in hyperchaotic Wang system. Furt...

The backstepping control method provides useful control logic, especially for a cascaded system. Because spacecraft dynamics and kinematics form a cascaded system, the spacecraft slew maneuver problem can be solved using the backstepping control method. However, the simple linear backstepping controller may result in poor design: sluggish motion, trivial nonlinear term cancellation, and excessi...

Abstract. This paper examines the synchronization performance of two widely used chaos synchronization techniques: active control and backstepping control. It is shown that the two methods have excellent performance, with the active control marginally outperforming the backstepping control in terms of transient analysis. However, the complexity of active controllers suggests that the backsteppi...