Title :
On Lyapunov inequality characterizations and LMIs based approaches to the L∞(l∞) and L2(l2) semi-global stabilization
Author_Institution :
Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162315
