This paper is concerned with the observer design for one-dimensional linear parabolic partial differential equations whose output is a weighted spatial average of the state over the entire spatial domain. We focus on the backstepping approach, which provides a systematic procedure to design an observer gain for systems with boundary measurement. If the output is not a boundary value of the stat...

This paper presents a wavelet neural network backstepping sliding mode controller (WNNBSSM) for permanentmagnet synchronous motor (PMSM) position servo control system. Backstepping sliding mode (BSSM) is utilized to guarantee favorable tracking performance and stability of the whole system, meanwhile, wavelet neural network (WNN) is used for approximating nonlinear uncertainties. The designed c...

The ability of backstepping controllers to deal with nonlinearities make this technique a suitable candidate for the control of small fixed-wing Unmanned Aerial Vehicles (UAVs). The authors have already proposed a comprehensive approach combining backstepping with PID controllers for simultaneous longitudinal and latero-directional control of fixed-wing UAVs, achieving good performance even wit...

An intelligent backstepping sliding-mode control system using radial basis function network (RBFN) for a two-axis motion control system using permanent magnet linear synchronous motors (PMLSMs) is proposed. First, single-axis motion dynamics with the introduction of a lumped uncertainty, including cross-coupled interference between the two-axis mechanism, is derived. Then, to improve the contro...

This paper deals with the problem of suppression of stick-slip oscillations in oil well drill-strings. The backstepping technique is used to design two control schemes for the system. The first controller is a typical backstepping controller; the second controller is a sliding back-stepping controller. Moreover, a reduced order observer is proposed to estimate the unmeasurable states of the sys...

Abstract: This paper presents the backstepping nonlinear control applied to induction motor with on-line adaptation of rotor resistance using a backstepping observer type. This type of control proposed an analysis based primarily on the stability of the system from the Lyapunov theory. This approach takes into account the nonlinearity of the system when designing the control law. The effectiven...

In this paper, a new synchronization scheme, combination synchronization, is used to realize reduced order function projective synchronization among three chaotic Josephson junction systems using backstepping technique. In the first case, function projective synchronization of two (2) third order drive systems with a single second order Josephson junction is considered while in the second case,...

Abstract: In this paper, we show that adaptive controllers designed using the standard backstepping technique proposed in Krstic [1995] globally stabilize a class of uncertain systems with unknown input time delay and unmodeled dynamics. As such systems belong to nonminimum phase systems and thus our result extends the class of systems stabilizable from minimum phase systems when the standard b...

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...

Many real-world systems are governed by the timedependent, nonlinear differential equations. Dynamics of an electrical system are also best described using the very equations. Being one of the preferred machines when using advanced control algorithms for electric drives, DC motor has been selected for position tracking. Defining dynamic equations of the motor derived from the theory of nonlinea...