Output regulation of linear systems with bounded continuous feedback

IEEE Transactions on Automatic Control

Volumn 49, Issue 11, 2004, Pages 1941-1953

  Hu, Tingshu ^a,b   Lin, Zongli ^a  

^a UNIVERSITY OF VIRGINIA   (United States)

^b University of California   (United States)

Author keywords

Bounded control; Nonlinear control; Output regulation; Regulatable region

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONSTRAINT THEORY; FEEDBACK CONTROL; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK;

BOUNDED CONTROL; OUTPUT REGULATION; REGULATABLE REGION;

LINEAR CONTROL SYSTEMS;

EID: 9744274052     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.837591     Document Type: Article

References (27)

1. R. De Santis, "Output regulation for linear systems with antistable eigen-values in the presence of input saturation," Int. J. Robust Nonlinear Control, vol. 10, pp. 423-438, 2000.
2. R. De Santis and A. Isidori, "On the output regulation for linear systems in the presence of input saturation," IEEE Trans. Automat. Contr., vol. 46, pp, 156-160, Jan. 2001.
3. Z. Ding, "Global output regulation of uncertain nonlinear systems with exogenous signals," Automatica, vol. 37, pp. 113-119, 2001.
4. B. A. Francis, "The linear multivariable regulator problem," SIAM J. Control Optim., vol. 15, pp. 486-505, 1975.
5. R. Freeman, "Global internal stabilizability does not imply global external stabilizability for small sensor disturbances," IEEE Trans. Automat. Contr., vol. 40, pp. 2119-2122, Dec. 1995.
6. O. Hájek, Control Theory in the Plane. New York: Springer-Verlag, 1991.
7. T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design. Boston, MA: Birkhäuser, 2001.
8. T. Hu and Z. Lin, "Practical stabilization of exponentially unstable linear systems subject to actuator saturation nonlinearity and disturbance," Int. J. Robust Nonlinear Control, vol. 11, pp. 555-588, 2001.
9. T. Hu, Z. Lin, and B. M. Chen, "An analysis and design method for linear systems subject to actuator saturation and disturbance," Automatica, vol. 38, no. 2, pp. 351-359, 2002.
10. T. Hu, Z. Lin, and L. Qiu, "An explicit description of the null controllable regions of linear systems with saturating actuators," Syst. Control Lett., vol. 47, no. 1, pp. 65-78, 2002.
11. T. Hu, Z. Lin, and L. Qiu, "Stabilization of exponentially unstable linear systems with saturating actuators," IEEE Trans. Automat. Contr., vol. 46, pp. 973-979, June 2001.
12. T. Hu, Z. Lin, and Y. Shamash, "Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation," Syst. Control Lett., vol. 43, pp. 203-210, 2001.
13. J. Huang, "Editorial of the special issue on output regulation of nonlinear systems," Int. J. Robust Nonlinear Control, vol. 10, pp. 321-322, 2000.
14. J. Huang, "Output regulation of nonhyperbolic nonlinear systems" IEEE Trans. Automat. Contr., vol. 40, pp. 1497-1500, Sept. 1995.
15. J. Huang and W. J. Rugh, "On a nonlinear multivariable servomechanism problem," Automatica, vol. 26, pp. 963-972, 1990.
16. A. Isidori and C. I. Byrnes, "Output regulation for nonlinear systems," IEEE Trans. Automat. Contr., vol. 35, pp. 131-140, Jan. 1990.
17. J. Junkins, J. Valasek, and D. D. Ward, "Report of ONR UCAV Modeling Effort," Dept. Aerospace Eng., Texas A&M Univ., College Station, TX, 1999.
18. W. Lan and J. Huang, "Semiglobal stabilization and output regulation of singular linear systems with input saturation," IEEE Trans. Automat. Contr., vol. 48, pp. 1274-1279, June 2003.
19. Z. Lin, Low Gain Feedback. London, U.K.: Springer-Verlag, 1998.
20. Z. Lin and A. Saberi, "Semi-global exponential stabilization of linear systems subject to 'input saturation' via linear feedbacks," Syst. Control Lett., vol. 21, pp. 225-239, 1993.
21. Z. Lin, A. A. Stoorvogel, and A. Saberi, "Output regulation for linear systems subject to input saturation," Automatica, vol. 32, pp. 29-47, 1996.
22. J. Macki and M. Strauss, Introduction to Optimal Control. New York: Springer-Verlag, 1982.
23. E. D. Sontag, "An algebraic approach to bounded controllability of linear systems," Int. J. Control, vol. 39, pp. 181-188, 1984.
24. R. Suarez, Alvarez-Ramirez, and J. Solis-Daun, "Linear systems with bounded inputs: Global stabilization with eigenvalue placement," Int. J. Robust Nonlinear Control, vol. 7, pp. 835-845, 1997.
25. H. J. Sussmann, E. D. Sontag, and Y. Yang, "A general result on the stabilization of linear systems using bounded controls," IEEE Trans. Automat. Contr., vol. 39, pp. 2411-2425, Dec. 1994.
26. A. R. Teel, "Feedback stabilization: Nonlinear solutions to inherently nonlinear problems," Ph.D. dissertation, Univ. California, Berkeley, CA, 1992.
27. A. R. Teel, "A nonlinear small gain theorem for the analysis of control systems," IEEE Trans. Automat. Contr., vol. 42, pp. 1256-1270, July 1996.