DocumentCode :
2672597
Title :
Analysis and design of singular linear systems under actuator saturation and L2/L disturbances
Author :
Liang, Lv ; Zongli, Lin
Author_Institution :
Dept. of Autom., Shanghai Jiao Tong Univ., Shanghai
fYear :
2008
fDate :
16-18 July 2008
Firstpage :
722
Lastpage :
726
Abstract :
This paper carries out an analysis of the L2 gain and Linfin performance for singular linear systems under actuator saturation. The notion of bounded state stability (BSS) with respect to the influence of L2 or Linfin disturbances is introduced and conditions under which a system is bounded state stable are established in terms of linear matrix inequalities (LMIs). The disturbance tolerance capability of the system is then measured as the bound on the L2 or Linfin norm of the disturbances under which the system remains bounded state stable and the disturbance rejection capability is measured by the restricted L2 gain from the disturbance to the system output or Linfin norm of the system output. Based on the BSS conditions, the assessment of the disturbance tolerance and rejection capabilities of the system under a given state feedback law is formulated and solved as LMI constrained optimization problems. By viewing the feedback gain as an additional variable, these optimization problems can be readily adapted for control design. Our analysis and design reduce to the existing results for regular linear systems in the degenerate case where the singular linear system reduces to a regular system, and to the existing results for singular systems in the absence of actuator saturation or when the disturbance is weak enough to not cause saturation.
Keywords :
control system analysis; control system synthesis; linear matrix inequalities; linear systems; optimisation; stability; state feedback; LMI constrained optimization problems; actuator saturation; bounded state stability; disturbance rejection capability; disturbance tolerance capability; feedback gain; linear matrix inequalities; singular linear systems; state feedback; Constraint optimization; Design optimization; Gain measurement; Hydraulic actuators; Linear matrix inequalities; Linear systems; Performance analysis; Performance gain; Stability; State feedback; Actuator saturation; Disturbance rejection; Disturbance tolerance; L performance; L2 gain; Singular systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
Type :
conf
DOI :
10.1109/CHICC.2008.4605886
Filename :
4605886
Link To Document :
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