A robust MRAC using variable structure design for multivariable plants

Automatica

Volumn 32, Issue 6, 1996, Pages 833-848

  Chien, Chiang Ju ^a   Sun, King Chuan ^a   Wu, A Chen ^b   Fu, Li Chen ^b  

^a Hua Fan College of Humanities and Technology Taiwan   (Taiwan)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Arbitrary generalized relative degree; Model reference adaptive control; Multivariable plants; Robustness; Variable structure design

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP CONTROL SYSTEMS; CONTROL THEORY; MATHEMATICAL MODELS; MULTIVARIABLE CONTROL SYSTEMS; PARAMETER ESTIMATION; PERFORMANCE; ROBUSTNESS (CONTROL SYSTEMS); SWITCHING THEORY; SYSTEM STABILITY; TIME VARYING CONTROL SYSTEMS;

CONTROL PARAMETERS; GENERALIZED RELATIVE DEGREE; GLOBAL STABILITY; MODEL REFERENCE ADAPTIVE CONTROL; MULTIVARIABLE PLANTS; PRESNET; TRACKING ERRORS; VARIABLE STRUCTURE DESIGN;

CONTROL SYSTEM ANALYSIS;

EID: 0030168450     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/0005-1098(96)00009-X     Document Type: Article

References (24)

1. Asano, T., K. Yoshikawa and S. Suzuki (1990). A network-theoretic approach to the design of a precompensator for multivariable adaptive control. IEEE Trans. Autom. Control, AC-35, 706-710.
2. Chien, C. J. and L. C. Fu (1992). A new robust model reference control with improved performance for a class of multivariable unknown plants. Int. J. Adaptive Control and Sig. Process., 6, 69-93.
3. Costa, R. R. and L. Hsu (1992). Robustness of VS-MRAC with respect to unmodeled dynamics and external disturbances. Int. J. Adaptive Control and Sig. Process., 6, 19-33.
4. Das, M. (1986). Multivariable adaptive model matching using less a priori information. J. Dyn. Syst., Meas. and Control, 108, 151-153.
5. Desoer, C. A. and M. Vidyasagar (1975). Feedback Systems: Input-Output Properties. Academic Press, New York.
6. Dion, J. M., L. Dugard and J. Carrillo (1988). Interactor and multivariable adaptive model matching. IEEE Trans. Autom. Control, AC-33, 399-401.
7. Elliott, H. and W. A. Wolovich (1982). A parameter adaptive control structure for linear multivariable systems. IEEE Trans. Autom. Control. AC-27, 340-351.
8. Elliott, H. and W. A. Wolovich (1984). Parameterization issues in multivariable adaptive control. Automatica, 20, 533-545.
9. Filippov, A. F. (1964). Differential equations with discontinuous right-hand side. Am. Math. Soc. Transl., 42, 199-231.
10. Fu, L. C. (1991). A robust model reference adaptive control using variable structure adaptation for a class of plants. Int. J. Control, 35, 1359-1375.
11. Fu, L. C. (1992). A new robust MRAC using variable structure design for relative degree two plants. Automatica, 28, 911-925.
12. Hsu, L. (1990). Variable structure model-reference adaptive control (VS-MRAC) using only input output measurements: the general case, IEEE Trans. Autom. Control, AC-35, 1238-1243.
13. Hsu, L. and R. R. Costa (1989). Variable structure model reference adaptive control using only input and output measurement: Part 1. Int. J. Control, 49, 339-416.
14. Ioannou, P. A. and K. S. Tsakalis (1986). A robust direct adaptive control. IEEE Trans. Autom. Control, AC-31, 1033-1043.
15. Ioannou, P. A. and K. S. Tsakalis (1988). The class of unmodeled dynamics in robust adaptive control. In Proc. American Control Conf., Atlanta, GA, pp. 337-342.
16. Maciejowski, J. M. (1989). Multivariable Feedback Design. Addison-Wesley, Reading, MA.
17. Miller, D. E. and E. J. Davison (1991). An adaptive controller that provides an arbitrarily good transient and steady-state response. IEEE Trans. Autom. Control, AC-36, 68-81.
18. Narendra, K. S. and A. M. Annaswamy (1988). Stable Adaptive Systems. Prentice-Hall, Englewood Cliffs, NJ.
19. Narendra, K. S. and J. D. Bǒsković (1992). A combined direct, indirect and variable structure method for robust adaptive control. IEEE Trans. Autom. Control, AC-37, 262-268.
20. Sastry, S. S. and M. Bodson (1989). Adaptive Control: Stability, Convergence, and Robustness, Prentice-Hall, Englewood Cliffs, NJ.
21. Singh, R. P. and K. S. Narendra (1984). Prior information in the design of multivariable adaptive controllers. IEEE Trans. Aut. Control, AC-28, 1108-1111.
22. Tao, G. and P. A. Ioannou (1988). Robust model reference adaptive control for multivariable plants. Int. J. Adaptive Control and Sig. Process., 2, 217-248.
23. Tao, G. and P. A. Ioannou (1989). An MRAC for multivariable plants with zero residual tracking error. In 28th IEEE Proc. Conf. on Decision and Control, Tampa, FL, pp. 1597-1600.
24. Wolovich, W. A. and P. F. Falb (1976). Invariants and canonical forms under dynamic compensation. SIAM J. Control Optim., 14, 996-1008.