Stability Analysis for a Class of Systems: From Model-Based Methods to Data-Driven Methods

Author

Zhuo Wang ; Derong Liu

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada

Volume

61

Issue

11

fYear

2014

fDate

Nov. 2014

Firstpage

6463

Lastpage

6471

Abstract

This paper presents some new methods to analyze the stability of the equilibrium point, and the bounded-input/bounded-state (BIBS) and the bounded-input/bounded-output (BIBO) stabilities for linear systems and a class of nonlinear systems. We study these systems in both continuous-time and discrete-time forms, using approaches from model-based methods to data-driven methods. For linear systems, our work about the BIBS and the BIBO stabilities does not concern the state controllability or the state observability. The data-driven methods can analyze the stabilities by doing some simple experiments and observations, while not identifying the corresponding parameter matrices. Our methods are easier to understand and more convenient to use in engineering practice.

Keywords

continuous time systems; control system analysis; discrete time systems; input-output stability; linear systems; matrix algebra; nonlinear control systems; BIBO; BIBS; bounded-input/bounded-output stability; bounded-input/bounded-state stability; continuous-time form; data-driven methods; discrete-time form; equilibrium point stability; model-based methods; nonlinear systems; parameter matrices; stability analysis; Analytical models; Eigenvalues and eigenfunctions; Linear systems; Mathematical model; Nonlinear systems; Stability criteria; Bounded-input/bounded-state (BIBS) and bounded-input/bounded-output (BIBO) stabilities; continuous-time and discrete-time systems; data-driven methods; model-based methods; stability of the equilibrium point;

fLanguage

English

Journal_Title

Industrial Electronics, IEEE Transactions on

Publisher

ieee

ISSN

0278-0046

Type

jour

DOI

10.1109/TIE.2014.2308146

Filename

6748063