On Lyapunov inequality characterizations and LMIs based approaches to the L∞(l∞) and L2(l2) semi-global stabilization

Author

Bin Zhou

Author_Institution

Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China

fYear

2015

fDate

23-25 May 2015

Firstpage

2357

Lastpage

2362

Abstract

In this paper we provide some new results for L_∞ (l_∞) and L₂ (l₂) semi-global stabilization of (both continuous-time and discrete-time) linear systems with (magnitude and energy) actuator saturation. For the L_∞ (l_∞) and L₂ (l₂) low gain feedback solutions established recently to these two problems, this paper provides new Lyapunov inequalities based characterizations of the L_∞ (l_∞) and L₂ (l₂) low gain feedback. Some new LMIs based solutions to the L_∞ (l_∞) and L₂ (l₂) semi-global stabilization problems are also established.

Keywords

Lyapunov methods; actuators; continuous time systems; discrete time systems; feedback; linear matrix inequalities; linear systems; stability; L_∞(l_∞) semiglobal stabilization; L₂(l₂) semiglobal stabilization; LMI; Lyapunov inequality characterizations; actuator saturatio; continuous-time linear systems; discrete-time linear systems; energy; linear matrix inequality; low gain feedback solutions; magnitude; Actuators; Closed loop systems; Discrete-time systems; Linear systems; Mathematical model; Robustness; State feedback; L∞ (l∞) and L2 (l2) low gain feedback; L∞ (l∞) and L2 (l2) semi-global stabilization; LMIs; Lyapunov inequality; Magnitude and energy saturation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162315

Filename

7162315