Dynamic Output Feedback Stabilization of Non-uniformly Observable Dissipative Systems

TL;DR

This paper introduces a new method for stabilizing dissipative control systems with non-uniform observability using dynamic output feedback, relying only on target detectability, applicable to many physical systems.

Contribution

It proposes a novel stabilization approach for dissipative systems with non-uniform observability, requiring only target detectability, advancing control theory.

Findings

Method successfully stabilizes dissipative systems with non-uniform observability

Applicable to various physical systems and examples

Overcomes limitations of traditional state feedback stabilization

Abstract

Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from state feedback stabilization to dynamic output feedback stabilization. In this paper, we present a methodology to overcome this challenge in the case of dissipative systems by requiring only target detectability. These systems appear in many physical systems and we provide various examples and applications of the result.