Dynamic backstepping control for pure-feedback non-linear systems

Dynamic backstepping control for pure-feedback nonlinear systems

A dynamic backstepping method is proposed to design controllers for nonlinear systems in the pure-feedback form, for which the traditional backstepping method suffers from solving the implicit nonlinear algebraic equation. The idea of this method is to augment the (virtual) controls as states during each recursive step. As new dynamics are included in the design, the resulting controller is in ...

Linear backstepping output feedback control for uncertain linear systems

This paper presents a variation on adaptive backstepping output feedback control design for uncertain minimum-phase linear systems. Unlike the traditional nonlinear design, the proposed control method is linear and Lyapunov-based without utilizing overparametrization, tuning functions, or nonlinear damping terms to address parameter estimation error. Local stability of the closed-loop system an...

Zonal Feedback Control Problems for Non-linear Dynamic Systems

1. Introduction Feedback control problems have been investigated by a lot of authors. The interest to this class of problems has increased for the last years due to the development of technical, computational, and measuring facilities of monitoring and of controlling technical and technological objects. They generally considered linear systems, and in case of non-linear systems corresponding li...

Singular Perturbation Theory in Output Feedback Control of Pure-Feedback Systems

This paper studies output feedback control of pure-feedback systems with immeasurable states and completely non-affine property. Since availability of all the states is usually impossible in the actual process, we assume that just the system output is measurable and the system states are not available. First, to estimate the immeasurable states a state observer is designed. Relatively fewer res...

non-linear control distillation column using approximate feedback linearization