Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper it is proposed for synchronizing chaotic systems. There are several advantages in this method for synchronizing chaotic systems: (a) it presents a systematic procedure for selecting a proper controller in chaos synchronization; (b) it can be applied to a va...

Backstepping design is proposed to control a Lorenz chaotic system. A major advantage of this method is that it has the flexibility to build the control law by avoiding cancellations of useful nonlinearities. Consequently, the goals of stabilization of chaotic motion and tracking of a reference signal are achieved with a reduced control effort. A comparison with the differential geometric metho...

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...

Backstepping and a finite-time stability result of Garrard (Garrard, 1972) are combined to provide a recursive design algorithm for finite-time stability of a class of nonlinear systems. Copyright c ©2005 IFAC

in this paper, the design and implementation of adaptive speed controller for a sensorless synchronous reluctance motor (synrm) drive system is proposed. a combination of well-known adaptive input-output feedback linearization (aiofl) and adaptive backstepping (abs) techniques are used for speed tracking control of synrm. the aiofl controller is capable of estimating motor two-axis inductances ...

A new intelligent nonlinear control for power system stabilizers that improves the transient stability is proposed. To guarantee high performance with low complexity cost, new concepts on the passivity design under unknown disturbance inputs, as well as on the adaptive fuzzy logic rule extraction are introduced. This permits the most possible simple design implementation of an adaptive-fuzzy lo...

In this paper, the problems of stability and control for a class of uncertain nonlinear systems with unknown state time-delay are studied by using the fuzzy logic systems. Because the dynamic surface control technique is introduced to deal with the uncertain time-delay systems, the designed adaptive fuzzy controller can avoid the issue of “explosion of complexity”, which comes from the traditio...

Zusammenfassung Es wird eine systematische Methode zum Entwurf synchronisierender Regler für Systeme in strenger Rückkopplungsform entwickelt. Dabei wird die Äquivalenz unter statischer Zustandsrückführung der gegebenen Systeme zu passiven Systemen ausgenutzt und eine neue Variante des Backstepping-Verfahrens vorgestellt. Es wird gezeigt, dass sich ein Kollektiv identischer Agenten synchronisie...