Lyapunov design

Randy A Freeman; Petar V. Kokotović

doi:10.1201/b10384

Lyapunov design

Randy A Freeman, Petar V. Kokotović

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Lyapunov functions represent the primary tool for the stability analysis of nonlinear systems. They verify the stability of a given trajectory, and they also provide an estimate of its region of attraction. The purpose of this text is to illustrate the utility of Lyapunov functions in the synthesis of nonlinear control systems. We will focus on recursive state-feedback design methods which guarantee robust stability for systems with uncertain nonlinearities. Lyapunov design is used inmany other contexts, such as dynamic feedback, output feedback, gain assignment, estimation, and adaptive control, but such topics are beyond the scope of this chapter.

Original language	English (US)
Title of host publication	The Control Systems Handbook
Subtitle of host publication	Control System Advanced Methods, Second Edition
Publisher	CRC Press
Pages	1103-1116
Number of pages	14
ISBN (Electronic)	9781420073652
ISBN (Print)	9781420073645
DOIs	https://doi.org/10.1201/b10384
State	Published - Jan 1 2010

ASJC Scopus subject areas

Engineering(all)

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10.1201/b10384

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Lyapunov design

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