Proportional-integral controllers for minimum-phase nonaffine-in-control systems

IEEE Transactions on Automatic Control

Volumn 55, Issue 6, 2010, Pages 1477-1483

  Teo, Justin ^a   How, Jonathan P ^a   Lavretsky, Eugene ^b  

^a Massachusetts Institute of Technology   (United States)

^b BOEING COMPANY   (United States)

Author keywords

Feedback linearization; Nonaffine in control systems; Nonlinear systems; Proportional integral control

Indexed keywords

CLOSED LOOPS; DYNAMIC INVERSION; EQUIVALENCE RELATIONS; EQUIVALENCE TRANSFORMATIONS; LINEAR TIME INVARIANT SYSTEMS; MINIMUM PHASE; NONAFFINE-IN-CONTROL SYSTEMS; PI CONTROLLER; PROPORTIONAL INTEGRAL CONTROLLERS; PROPORTIONAL-INTEGRAL CONTROL; ROBUSTNESS PROPERTIES; TIME RESPONSE; UNPERTURBED SYSTEMS;

FEEDBACK LINEARIZATION; INVARIANCE; LINEAR SYSTEMS; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS; TWO TERM CONTROL SYSTEMS;

CONTROLLERS;

EID: 77953087882     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2045693     Document Type: Article

References (20)

1. C. A. Desoer and C.-A. Lin, "Tracking and disturbance rejection of MIMOnonlinear systems with PI controller," IEEE Trans. Autom. Control, vol.30, no.9, pp. 861-867, Sep. 1985.
2. H. K. Khalil, "Universal integral controllers for minimum-phase nonlinear systems," IEEE Trans. Autom. Control, vol.45, no.3, pp. 490-494, Mar. 2000.
3. J. Alvarez-Ramirez, G. Fernandez, and R. Suarez, "A PI controller configuration for robust control of a class of nonlinear systems," J. Franklin Inst.-Eng. Appl. Math., vol.339, no.1, pp. 29-41, Jan. 2002.
4. J. Teo and J. P. How, "Equivalence Between Approximate Dynamic Inversion and Proportional-Integral Control," MIT, Cambridge, MA, Tech. Rep. ACL08-01, Sep. 2008 [Online]. Available: http://hdl.handle.net/1721.1/42839
5. J. Teo and J. P. How, "On Approximate Dynamic Inversion," MIT, Cambridge, MA, Tech. Rep. ACL09-01, May 2009 [Online]. Available: http://hdl.handle.net/1721.1/45514
6. N. Hovakimyan, E. Lavretsky, and A. Sasane, "Dynamic inversion for nonaffine-in-control systems via time-scale separation. Part I," J. Dyn. Control Syst., vol.13, no.4, pp. 451-465, Oct. 2007.
7. J. D. Morningred, B. E. Paden, D. E. Seborg, and D. A. Mellichamp, "An adaptive nonlinear predictive controller," in Proc. Amer. Control Conf., San Diego, CA, May 1990, pp. 1614-1619.
8. N. C. Sahoo, J. X. Xu, and S. K. Panda, "An iterative learning-based modulation scheme for torque control in switched reluctance motors," Electr. Mach. Power Syst., vol.28, no.11, pp. 995-1018, Nov. 2000.
9. J. D. Bösković, L. Chen, and R. K. Mehra, "Multivariable adaptive controller design for a class of non-affine models arising in flight control," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, Dec. 2001, vol.3, pp. 2442-2447.
10. S. Devasia, D. Chen, and B. Paden, "Nonlinear inversion-based output tracking," IEEE Trans. Autom. Control, vol.41, no.7, pp. 930-942, Jul. 1996.
11. H. K. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice Hall, 2002.
12. P. V. Kokotovic and R. Marino, "On vanishing stability regions in nonlinear systems with high-gain feedback," IEEE Trans. Autom. Control, vol.AC-31, no.10, pp. 967-970, Oct. 1986.
13. F. M. Callier and C. A. Desoer, Linear System Theory, ser. Springer Texts Electr. Eng.. New York: Springer, 1991.
14. E. A. Lyashenko and L. B. Ryashko, "Optimal controllers not satisfying the separation theorem," Cybern. Syst. Anal., vol.36, no.3, pp. 426-436, May 2000.
15. M. Verwoerd, G. Meinsma, and T. de Vries, "On admissible pairs and equivalent feedback-Youla parameterization in iterative learning control," Automatica, vol.42, no.12, pp. 2079-2089, Dec. 2006.
16. N. Hovakimyan, E. Lavretsky, and C. Cao, "Dynamic inversion for multivariable non-affine-in-control systems via time-scale separation," Int. J. Control, vol.81, no.12, pp. 1960-1967, Dec. 2008.
17. A. J. van der Schaft, "Observability and controllability for smooth nonlinear systems," SIAM J. Control Optim., vol.20, no.3, pp. 328-337, May 1982.
18. C. I. Byrnes and X. Hu, "The zero dynamics algorithm for general nonlinear systems and its application in exact output tracking," J. Math. Syst. Estim. Control, vol.3, no.1, pp. 51-72, 1993.
19. J. Teo, J. P. How, and E. Lavretsky, "On approximate dynamic inversion and proportional-integral control," in Proc. Amer. Control Conf., St. Louis, MO, Jun. 2009, pp. 1592-1597.
20. R. H. Middleton and D. E. Miller, "On the achievable delay margin using LTI control for unstable plants," IEEE Trans. Autom. Control, vol.52, no.7, pp. 1194-1207, Jul. 2007.