The problem of compensation of infinite-dimensional actuator or sensor dynamics of more complex type than pure delay was solved recently using the backstepping method for PDEs. In this paper we construct an explicit feedback law for a multi-input LTI system which compensates the wave PDE dynamics in its input and stabilizes the overall system. Our design is based on a novel infinite-dimensional...

This paper deals with the tracking control design for systems governed by linear parabolic partial differential equations with spatially and temporally varying coefficients and boundary input. For the boundary feedback control the backstepping method is applied, which allows to determine an exponentially stabilizing state feedback controller such that the closed-loop system behaves in the nomin...

Here we deal with the stabilisation problem of non-diagonal systems by boundary control. In studied setting, control input is subject to a constant delay. We use spectral decomposition method and split system into two components: an unstable stable one. To stabilise part system, connect, for first time in literature, famous backstepping design technique direct-proportional design. More precisel...

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 the problem of orbital transfer under propulsion constraints. The solution is arrived at by appealing to several recent nonlinear control design methods including backstepping, forwarding, and a modified form of JurdjevicQuinn control.

Two integrator backstepping designs are presented for digitally controlled continuous-time plants in special form. The controller designs are based on the Euler approximate discrete-time model of the plant and the obtained control algorithms are novel. The two control laws yield, respectively, semiglobal-practical stabilization and global asymptotic stabilization of the Euler model. Both design...

This paper presents a Variable Structure Adaptive Backstepping Controller (VS-ABC) for plants with relative degree one, using only input/output measurements. Instead of traditional integral adaptive laws for estimating the plant parameters, switching laws are used to increase robustness to parametric uncertainties and disturbances, as well as, to improve transient response. Moreover, the contro...

It is the intent of this paper to add to, and improve the existing design tools for nonlinear output feedback systems. Considered here are systems, exhibiting parametric uncertainty, and containing nonlinearities dependent on the output alone. A lower triangular state transformation is utilised, equivalent to that obtained via the traditional and recursive backstepping algorithm. Extra damping ...