Title :
Stability and PI Control of Singular NCS with Packet Dropout Compensator
Author :
Dong Xiangdong ; Zhang Qingling
Author_Institution :
Sch. of Inf. Sci. & Eng. Technol., Shenyang Ligong Univ., Shenyang, China
Abstract :
This paper deals with the problems of exponential stability and proportion-integral (PI) controller design for singular networked control system (NCS) with time-varying delay and packet dropout compensator. The considered state feedback singular NCS is modeled as an asynchronous dynamical system (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the semi-negative definite matrix conditions of exponential stability for singular NCS with time-varying delay and packet dropout compensator is derived. Furthermore, the observation compensator and the PI controller design method are proposed. Finally, numerical example shows that the stability conditions, the observation compensator and the PI controller design method are feasible.
Keywords :
Lyapunov matrix equations; PI control; asymptotic stability; control system synthesis; control systems; delays; linear matrix inequalities; state feedback; time-varying systems; ADS; Lyapunov stability theory; PI controller design; asynchronous dynamical system; exponential stability; linear matrix inequality method; packet dropout compensator; proportion-integral controller design; seminegative definite matrix; singular networked control system; state feedback singular NCS; time-varying delay; Control systems; Design methodology; Linear matrix inequalities; Lyapunov method; Networked control systems; Pi control; Proportional control; Stability; State feedback; Time varying systems; packet dropout compensator; singular networked control system; stability;
Conference_Titel :
Measuring Technology and Mechatronics Automation (ICMTMA), 2010 International Conference on
Conference_Location :
Changsha City
Print_ISBN :
978-1-4244-5001-5
Electronic_ISBN :
978-1-4244-5739-7
DOI :
10.1109/ICMTMA.2010.738