I/O-Linearizing Controller with Observer for Nonlinear Systems Described by Differential-Algebraic Equations

Abstract

In this paper, we consider I/O-linearization problems for systems described by differential-algebraic equations using dynamic output feedback. First of all, a design method achieving I/O-linearization by a static feedback law is obtained. In the method, it is not necessary to solve the algebraic equations. Secondly, under linear-growth conditions, an observer, that stabilizes the whole system globally, is proposed. The observer can estimate two kinds of state variables simultaneously.