A constructive condition for dynamic feedback linearization

Abstract

The paper deals with dynamic feedback linearization of continuous time a ne systems. A constructive procedure based on prolongations is proposed. Based on necessary geometric conditions, the algorithm computes a set of prolongation indices.

Dynamic Feedback Linearization of Two Input Nonlinear Systems

“…It is locked, if it is not unlocked and not eligible. The following result was proven in Battilotti et al [2004].…”

“…Finally in Battilotti et al [2003] an algorithm for the computation of a dynamic compensator consisting of prolongations was proposed for two input continuous affine systems. The general multi input case was considered in Battilotti et al [2004].…”

Feedback control for yaw angle with input nonlinearity via input-state linearization

“…Simulated results are demonstrated in Figs. [6][7]. In these simulations, it can be easily seen that using our the proposed method can work effectively, even if the disturbance change according to the step-changing and continuous sine changing in 10 seconds.…”

“…And the flight control design has been dominated by classical [4]. [6] proposed an algorithm for computing a dynamic controller based on prolongations, which renders a given system linearizable via regular static feedback. [7] presents an inputstate linearization method to allow design of state-feedback controllers for single-input linear systems, and this method does not apply the inverse of the nonlinear function of the systems.…”

Control de trayectorias basado en álgebra lineal

“…En este trabajo se muestra que la clase de sistemas de entradaúnica que son linealizables mediante realimentación dinámica no es mayor que la clase linealizable mediante realimentación estática, lo cual se mantiene para sistemas continuos también. Un algoritmo para el cálculo de la solución dinámica basada en condiciones geométricas necesarias, que se convierten en condiciones suficientes cuando eĺ ındice de prolongación es 2, se presenta en Battilotti and Califano (2004), considerando sistemas continuos afines.…”