The authors present an approach for constructing optimal feedback control laws for regulation of a rotating rigid spacecraft. They employ the inverse optimal control approach which circumvents the task of solving a Hamilton–Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapuno...

This note deals with chained form systems with strongly nonlinear unmodeled dynamics and external disturbances. The objective is to design a robust nonlinear state feedback law such that the closed-loop system is globally -exponentially stable. We propose a novel switching control strategy involving the use of input/state scaling and integrator backstepping. The new features of our controllers ...

| We present an approach for constructing optimal feedback control laws for regulation of a rotating rigid spacecraft. We employ the inverse optimal control approach which circumvents the task of solving a Hamilton-Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapunov functio...

This paper illustrates the potential of nonlinear model-based control applied for stabilization of unstable flow in oil wells. A simple empirical model is developed that describes the qualitative behavior of the downhole pressure during severe riser slugging. A nonlinear controller is designed by an integrator backstepping approach, and stabilization for open-loop unstable pressure setpoints is...

In this paper a result on attitude tracking control of a micro satellite by integrator backstepping based on quaternion feedback is presented, and the controller is shown to render the system equilibrium point UGAS by application of the LaSalle-Yoshizawa theorem. This is a part of a study of possible control methods for the spacecraft ESEO, a spacecraft included in the SSETI project initiated b...

 This paper investigates on control and stabilization of a new hyperchaotic system. The hyperchaotic system is stabilized using a new technique which called Generalized Backstepping Method (GBM). Because of its similarity to Backstepping approach, this method is called GBM. But, this method is more applicable in comparison with conventional Backstepping.  Backstepping method is used only for sy...

We solve both the global practical stabilization and tracking problem for an underactuated ship, using a combined integrator backstepping and averaging approach. Exponential convergence to an arbitrarily small neighbourhood of the origin and of the reference trajectory, respectively, is proved. Simulation results are included. R esum e: Nous r esolvons a la fois la stabilisation globale et le p...

Robust nonlinear controller design with constraint on the poles' location of the linear part of closed-loop system is proposed. The design method is based on the integrator backstepping procedure and linear constrained ∞ H for nonlinear strictfeedback systems with disturbance also in strict-feedback form. The resulted closedloop system will be globally stable, while both local robustness and de...

Die in der englischsprachigen Literatur unter der Bezeichnung ,,integrator backstepping“ bekannte Methode zum Entwurf stabiler Regelkreise wird für die differentiell flachen Systeme diskutiert. Die Verwendung von Brunovský-Zuständen und quasi-statischen Rückführungen ermöglicht eine systematische Behandlung von Systemen mit mehreren Eingangsgrößen unabhängig von der Systemdarstellung. Die Anwen...