Robust constraint satisfaction for continuous-time nonlinear systems in strict feedback form

IEEE Transactions on Automatic Control

Volumn 55, Issue 11, 2010, Pages 2597-2601

  Burger, Mathias ^a   Guay, Martin ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

Backstepping; Lyapunov stability; output constraints

Indexed keywords

BOUNDED DISTURBANCES; CONSTRAINT SATISFACTION; CONTINUOUS TIME NONLINEAR SYSTEMS; CONTROL MODES; CONTROL OBJECTIVES; FEEDBACK CONTROL LAW; FEEDBACK FORMS; INPUT-AFFINE; LYAPUNOV STABILITY; OUTPUT CONSTRAINTS; PARAMETRIC UNCERTAINTIES; RECURSIVE PROCEDURE; SUFFICIENT CONDITIONS;

CONTINUOUS TIME SYSTEMS; NONLINEAR FEEDBACK; NONLINEAR SYSTEMS; ROBUST CONTROL;

BACKSTEPPING;

EID: 78149249999     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2061090     Document Type: Article

References (9)

1. M. Bürger and M. Guay, "Robust constraint satisfaction for continuous-time nonlinear systems," in Proc. 47th Conf. Dec. Control, Cancun, Mexico, Dec. 2008, pp. 7-12.
2. A. Bemporad, "Reference governor for constrained nonlinear systems," IEEE Trans. Autom. Control, vol. 43, no. 3, pp. 415-419, Mar. 1998.
3. R. Findeisen, L. Imsland, and F. Allgöwer, "State and output feedback nonlinear model predictive control: An overview," Eur. J. Control, vol. 9, no. 2-3, pp. 190-207, 2003.
4. A. Glattfelder and W. Schaufelberger, Control Systems With Input and Output Constraints. London, U.K.: Springer, 2003.
5. H. K. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice Hall, 2000.
6. S. Pranja, "Optimization-Based Methods for Nonlinear and Hybrid Systems Verification," Ph.D. dissertation, California Inst. Technol., Passadena, CA, Jan. 2005.
7. K. P. Tee, S. S. Ge, and E. H. Tay, "Barrier Lyapunov functions for the control of output-constrained nonlinear systems," Automatica, vol. 45, no. 4, pp. 918-927, 2009.
8. P. Tsiotras and M. Arcak, "Low-bias control of amb subject to voltage saturation: State-feedback and observer designs," IEEE Trans. Control Syst. Technol., vol. 13, no. 2, pp. 262-273, Mar. 2005.
9. J. Wolff, C. Weber, and M. Buss, "Continuous control mode transitions for invariance control of constrained nonlinear systems," in Proc. 47th Conf. Dec. Control, Dec. 2007, pp. 542-547.