Survey on Stabilization of Nonlinear Systems via state/output feedback control

TL;DR

This survey reviews methods for stabilizing nonlinear systems using state and output feedback control, emphasizing theoretical approaches and stability theorems like Lyapunov's to guide controller design.

Contribution

It provides a comprehensive overview of feedback stabilization techniques for nonlinear systems, focusing on theoretical foundations and controller construction methods.

Findings

Summarizes key feedback control strategies for nonlinear stabilization

Highlights the role of Lyapunov stability in controller design

Guides future research directions in feedback stabilization

Abstract

This survey paper deals with the stabilization of nonlinear systems by analyzing the controlling method in terms of state feedback and output feedback. A brief overview of some literature on how the feedback controller of some dynamic systems in real applications like robots can be applicable is introduced. The aim is to give a direction about the methods of how to solve the state and output feedback stabilization problems for nonlinear systems based on feedback design methods and other theorems like the Lyapunov stability theorem. The feedback controllers can be constructed to ensure the origin of the nonlinear system is whether asymptotically stable or not. The paper is purposely focused on directing the theoretical results regarding the presence of such a feedback controller in stabilization. Keywords: Nonlinear systems, stability, Feedback stabilization, State Feedback, Output Feedback