Mixed H2/H∞ design for a decentralized discrete variable structure control with application to mobile robots

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 35, Issue 4, 2005, Pages 736-750

  Hwang, Chih Lyang ^a   Han, Song Yu ^a  

^a TATUNG UNIVERSITY   (Taiwan)

Author keywords

Decentralized control; H optimization; H2 optimization; Mobile robot; Variable structure control

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEM SYNTHESIS; LYAPUNOV METHODS; MOBILE ROBOTS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; STABILITY CRITERIA; SYSTEM STABILITY;

OUTPUT DISTURBANCE; VARIABLE STRUCTURE CONTROL; WEIGHTED SENSITIVITY;

DECENTRALIZED CONTROL;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; COMPARATIVE STUDY; COMPUTER SIMULATION; EVALUATION; FEEDBACK SYSTEM; MATHEMATICAL COMPUTING; METHODOLOGY; MOVEMENT (PHYSIOLOGY); ROBOTICS; SIGNAL PROCESSING; STATISTICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEEDBACK; MODELS, STATISTICAL; MOVEMENT; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; ROBOTICS; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 24644444706     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2005.845999     Document Type: Article

References (18)

1. L. T. Grujic and D. D. Siljak, "Asymptotic stability and instability of large scale systems," IEEE Trans. Automat. Contr., vol. AC-18, no. 6, pp. 636-645, Dec. 1973.
2. D. D. Sijak, Large-Scale Dynamic Systems: Stability and Structure. Amsterdam, The Netherlands: North-Holland, 1978.
3. W. S. Chan and C. A. Desoer, "Eigenvalue assignment and stabilization of interconnected systems using local feedbacks," IEEE Trans. Automat. Contr., vol. AC-24, no. 2, pp. 312-317, Apr. 1979.
4. Y. H. Chen, "Decentralized robust control system design for large-scale uncertain systems," Int. J. Contr., vol. 111, pp. 1195-1205, 1988.
5. ∞ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems," IEEE Trans. Fuzzy Syst., vol. 9, no. 6, pp. 795-809, Dec. 2001.
6. J. H. Lee and H. Hashimoto, "Controlling mobile robots in distributed intelligent sensor network," IEEE Trans. Ind. Electron., vol. 50, no. 5, pp. 890-902, Oct. 2003.
7. X. Chen, K. Watanabe, K. Kiguchi, and K. Izumi, "An ART-based fuzzy controller for the adaptive navigation of a quadruped robot," IEEE/ ASME Trans. Mechatron., vol. 7, no. Sep., pp. 318-328, 2002.
8. ∞ problems," IEEE Trans. Automat. Contr., vol. 34, no. 8, pp. 831-847, 1989.
9. ∞ control with state-dependent noise," IEEE Trans. Automat. Contr., vol. 49, no. 1, pp. 45-57, Jan. 2004.
10. J. Chen, S. Hara, and G. Chen, "Best tracking and regulation performance under control energy constraint," IEEE Trans. Automat. Contr., vol. 48, no. 8, pp. 1320-1336, Aug. 2003.
11. C. L. Hwang and C. Jan, "Optimal and reinforced robustness designs of fuzzy variable structure tracking control for a piezoelectric actuator system," IEEE Trans. Fuzzy Syst., vol. 11, no. 4, pp. 507-517, Aug. 2003.
12. Y. Hung, W. Gao, and J. C. Hung, "Variable structure control: a survey," IEEE Trans. Indust. Electron., vol. 40, no. 1, pp. 2-22, Jan. 1993.
13. K. D. Young, V. I. Utkin, and Ü. Özgüner, "A control engineer's guide to sliding mode control," IEEE Trans. Contr Syst. Technol., vol. 7, no. 3, pp. 328-342, May 1999.
14. K. Furuta and Y. Pan, "Variable structure control with sliding sector," Automatica, vol. 36, no. 3, pp. 211-228, 2000.
15. C. L. Hwang, "Robust discrete variable structure control with finite-time approach to switching surface," Int. J. Automatica, vol. 38, no. 1, pp. 167-175, 2002.
16. H. K. Khalil, Nonlinear Systems, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
17. M. Vidyasagar, Controller System Synthesis-A Factorization Approach. Cambridge, MA: MIT Press, 1995.
18. ∞-norm space," Proc. Inst. Elect. Eng., Contr. Theory, Applicat., vol. 135, no. 4, pp. 295-301, 1988.