LMI-based approach of robust control for uncertain distributed parameter control systems with time-delay

Kongzhi Lilun Yu Yingyong/Control Theory and Applications

Volumn 23, Issue 2, 2006, Pages

  Luo, Yi Ping ^a,b   Deng, Fei Qi ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b HUNAN INSTITUTE OF ENGINEERING   (China)

Author keywords

Distributed parameter; LMI; Robust control; Time delay; Uncertain system

Indexed keywords

DISTRIBUTED PARAMETER; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV FUNCTIONS; ROBUST CONTROL; TIME DELAY;

DISTRIBUTED PARAMETER CONTROL SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; STABILIZATION; UNCERTAIN SYSTEMS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 33745954957     PISSN: 10008152     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. ORLOV Y V, UTKIN V I. Sliding mode control in indefinitedimensional systems[J]. Automatica, 1987, 23(6): 753-757.
2. HENRIQUEZ H R. Stabilization of hereditary distribution parameter control system[J]. Systems and Control Letters, 2001, 44(1): 35-43.
3. SIRA-RAMIREZ H. Distributed sliding mode control in systems described by quasilinear partial differential equations[J]. Systems and Control Letters, 1989, 13(2): 177-181.
4. HANCZYC E M, PALAZODLU A. Sliding mode control of nonlinear distributed parameter chemical processes[J]. Industrial and Engineering Chemistry Research, 1995, 34(2): 557-566.
5. HANCZYX E M, PALAZODLU A. Use of symmetry groups in sliding mode control of nonlinear distributed parameter systems[J]. Int J Control, 1996, 63(6): 1116-1149.
6. HU Yuemin, ZHOU Qijie. The Distributed Parameter Variable Structure Systems[M]. Beijing: National Defence Industry Press, 2000.
7. LIU Rongqing, XIE Shengli. Variable Structure Control and Stability of Distributed Parameter Systems with Delays[M]. Guangzhou: South China University of Technology Press, 1998.
8. XIE Shengli, XIE Zhendong, LIU Yongqing, et al. Variable structure control of parabolic type control system with delay[J]. Control and Decision, 1997, 12(3): 247-251.
9. XIE Zhendong, XIE Shengli, LIU Yongqing. Design of decentralized variable structure controller of large-scale distributed parameter system with delay[J]. Acta Automatica Sinca, 1999, 25(6): 805-810.
10. CUI Baotong. Oscillation, stability and control of distributed parameter systems with delays[D]. Guangzhou: South China University of Technology, 2003.
11. BOUBAKER O, BABARY J P. On SISO and MIMO variable structure control of nonlinear distributed parameter systems: application to fixed bed reactors[J]. J of Process Control, 2003, 13(8): 729-737.
12. CHEN Xianqiang. ZHAO Yi. Feedback stabilization of a class of distributed parameter systems[J]. Control Theory and Applications, 2003, 20(6): 879-883.
13. BOYD S, EI GHAOUI L, FERON E, et al. Linear Matrix Inequalities in System and Control Theory[M]. Philadephia: SIAM, 1994.
14. SANCHEZ E N, PEREZ J P. Input-to-state stability analysis for dynamic NN[J]. IEEE Trans on Circuits Systems-I, 1999, 46(11): 1395-1398.
15. LIAO Xiaoxin. Theory and Application of Stability for Dynamical Systems[M]. Beijing: National Defence Industry Press, 2000.