Abstract: Due to the difficulty in solving the Hamilton-Jacobi-Isaacs equation, the nonlinear optimal control approach is not very practical in general. To overcome this problem, Ezal et al. (2000) first solved a linear optimal control problem for the linearized model of a nonlinear system given in the strict-feedback form. Then, using the backstepping procedure, a nonlinear feedback controller...

In order to achieve the accurate trajectory tracking of 2 degree-of –freedom robot, a backstepping adaptive fuzzy control scheme based on Lyapunov method, is presented for the SCARA (Selective Compliance Assembly Robot Arm) robot system. The control strategy consists of the traditional backstepping control and adaptive fuzzy control to cope with the model unknown and parameter disturbances. The...

~~ This paper focuses on the problem of controlling DC-to-DC switched power converters of Buck type. The system nonlinear feature is coped with by resorting to the backstepping control approach. Both adaptive and nonadaptive versions are designed and shown to yield quite interesting tracking and robustness performances. A comparison study shows that backstepping nonlinear controllers perform as...

In this paper, an adaptive fuzzy backstepping controller has been developed for the position tracking control of a permanent magnet synchronous motor (PMSM) drive. Fuzzy logic systems are used to approximate unknown nonlinearities appearing in the control law and an adaptive backstepping technique is employed to construct controller. To illustrate the performance of the proposed controller comp...

Development of a cascade controller structure including adaptive backstepping for a nonlinear hydraulic-mechanical system is considered in this paper where a dynamic friction (LuGre) model is included to obtain the necessary accuracy. The paper compares the performance of two variants of an adaptive backstepping tracking controller with earlier results. The new control architecture is analysed ...

In this chapter we describe the block backstepping approach to flight control law design. Block backstepping is a Lyapunov based technique for controller design which is particularly well suited to the rigid body control problem where the main means of control is through the moments, which is the case in most aircraft. The resulting controller has semi-global (in the state space) stabilising pr...

In this paper a nonlinear model of an underactuated quad rotor aerial robot is derived, based on Newton-Euler formalism, and backstepping based PID control strategy is implemented for the derived model. Model derivation comprises determining equations of motion of the quad rotor in three dimensions and seeking to approximate actuation forces through modeling of aerodynamic coefficients and elec...

Backstepping is one of the most promising advanced control laws developed for xed-wing Unmanned Aerial Vehicles (UAVs). Its nonlinearity combined with adaptation guarantees adequate performance over the whole ight envelope even when the aircraft model is not exact. In the literature, there are several attempts to apply a backstepping controller to aspects of xed-wing UAV ight. Few of them attem...

This paper proposes a high-precision intelligent adaptive backstepping control system (HPIABCS) for the position control of permanent-magnet synchronous motor (PMSM) servo drive. The HPIABCS incorporates an ideal backstepping controller, a dynamic recurrent-fuzzy-wavelet-neural-network (DRFWNN) uncertainty observer and a robust H∞ controller. First, a backstepping position controller is designe...

A mathematical model of the circadian dynamics in the form of Van der Pol equation with an external force as a control is investigated. The combination of backstepping method and differential-topological techniques based on the Poincaré's ideas is used. The robust model identification adaptive control for a specific adaptation law is designed.