Global control of nonlinear systems with uncertain output function using homogeneous domination approach

International Journal of Robust and Nonlinear Control

Volumn 22, Issue 14, 2012, Pages 1543-1561

  Zhai, Junyong ^a   Qian, Chunjiang ^b  

^a SOUTHEAST UNIVERSITY   (China)

^b The University of Texas at San Antonio   (United States)

Author keywords

homogeneous systems; nonlinear systems; output feedback

Indexed keywords

ADDING A POWER INTEGRATOR; ADJUSTABLE COEFFICIENT; GLOBAL CONTROL; GLOBAL PRACTICAL OUTPUT TRACKING; HOMOGENEOUS DOMINATION; HOMOGENEOUS STATE; HOMOGENEOUS SYSTEM; NOMINAL LINEAR SYSTEMS; OUTPUT FEEDBACK; OUTPUT FEEDBACK CONTROLLER; OUTPUT FEEDBACK STABILIZATION; OUTPUT FUNCTIONS;

LINEAR SYSTEMS; NONLINEAR SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 84865249447     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1765     Document Type: Article

References (31)

1. Mazenc F, Praly L, Dayawansa WP,. Global stabilization by output feedback: examples and counterexamples. Systems and Control Letters 1994; 23 (2): 119-125.
2. Bestle D, Zeitz M,. Canonical form observer design for non-linear time-variable systems. International Journal of Control 1983; 38 (2): 419-431. (Pubitemid 13588616)
3. Krener AJ, Isidori A,. Linearization by output injection and nonlinear observers. Systems and Control Letters 1983; 3 (1): 47-52.
4. Krener AJ, Respondek W,. Nonlinear observers with linearizable error dynamics. SIAM Journal on Control and Optimization 1985; 23 (2): 197-216. (Pubitemid 15473326)
5. Marino R, Tomei P,. Dynamic output feedback linearization and global stabilization. Systems and Control Letters 1991; 17 (2): 115-121. (Pubitemid 21708018)
6. Krener AJ, Xiao M,. Nonlinear observer design in the Siegel domain. SIAM Journal on Control and Optimization 2002; 41 (3): 932-953.
7. Khalil HK, Saberi A,. Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Transactions on Automatic Control 1987; 32 (11): 1031-1035. (Pubitemid 18521639)
8. Tsinias J,. A theorem on global stabilization of nonlinear systems by linear feedback. Systems and Control Letters 1991; 17 (5): 357-362.
9. Gauthier J-P, Hammouri H, Othman S,. A simple observer for nonlinear systems, applications to bioreactors. IEEE Transactions on Automatic Control 1992; 37 (6): 875-880.
10. Besancon G,. State affine systems and obsever based control. In Proceedings of Nonlinear Control Systems Design (NOLCOS '98), 1998; 399-404.
11. Qian C, Lin W,. Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Transactions on Automatic Control 2002; 47 (10): 1710-1715. (Pubitemid 35298559)
12. Praly L, Jiang Z,. On global output feedback stabilization of uncertain nonlinear systems. In Proceedings of the 42nd IEEE Conference on Decision and Control, 2003; 1544-1549.
13. Chen Z, Huang J,. Global output feedback stabilization for uncertain nonlinear systems with output dependent incremental rate. In Proceedings of 2004 American Control Conference, 2004.
14. Qian C,. A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems. In Proceedings of 2005 American Control Conference, June 2005; 4708-4715. (Pubitemid 41188747)
15. Andrieu V, Praly L, Astofi A,. Homogeneous approximation and recursive observer design and output feedback. SIAM Journal on Control and Optimization 2008; 47 (4): 1814-1850.
16. Andrieu V, Praly L, Astolfi A,. High gain observers with updated gain and homogeneous correction terms. Automatica 2009; 45 (2): 422-428.
17. Li J, Qian C, Frye M,. A dual observer design for global output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities, International Journal of Robust and Nonlinear Control 2009; 19 (15): 1697-1720.
18. Gong Q, Qian C,. Global practical tracking of a class of nonlinear systems by output feedback. Automatica 2007; 43 (1): 184-189. (Pubitemid 44792039)
19. Application Note for an Infrared, Triangultation-Based Distance Sensor with an Analog, Non-Linear Output: http://zuff.info/SharpGP2D12-E.html
20. Polendo J, Qian C,. A generalized homogeneous approach for global stabilization of inherently nonlinear systems via output feedback. International Journal of Robust and Nonlinear Control 2007; 17 (7): 605-629. (Pubitemid 46616429)
21. Teel AR,. Global stabilization and restricted tracking for multiple integrators with bounded controls. Systems and Control Letters 1992; 18 (3): 165-171.
22. Mazenc F, Praly L,. Adding integrations, saturated controls, and stabilization for feedforward systems. IEEE Transactions on Automatic Control 1996; 41 (11): 1559-1578. (Pubitemid 126769001)
23. Tzamtzi M, Tsinias J,. Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization. Systems and Control Letters 1999; 38 (2): 115-126. (Pubitemid 129609692)
24. Tsinias J, Tzamtzi MP,. An explicit formular of bounded feedback stabilizers for feedforward systems. Systems and Control Letters 2001; 43 (4): 247-261. (Pubitemid 32663770)
25. Choi H-L, Lim J-T,. Global exponential stabilization of a class of nonlinear systems by output feedback. IEEE Transactions on Automatic Control 2005; 50 (2): 255-257. (Pubitemid 40319359)
26. Qian C, Li J,. Global output feedback stabilization of upper-triangular nonlinear systems using a homogeneous domination approach. International Journal of Robust and Nonlinear Control 2006; 16 (9): 441-463. (Pubitemid 43835623)
27. Hermes H,. Homogeneous coordinates and continuous asymptotically stabilizing feedback controls. In Differential equations, Vol. 127. Dekker: New York, 1991.
28. Kawski M,. Homogeneous stabilizing feedback laws. Control Theory and Advanced Technology 1990; 6 (4): 497-516.
29. Bacciotti A, Roiser L,. Liapunov Functions and Stability in Control Theory, Lecture Notes in Control and Information Sciences, vol. 267. Springer, 2001.
30. Rosier L,. Homogeneous Lyapunov function for homogeneous continuous vector fields. Systems and Control Letters 1992; 19 (6): 467-473. (Pubitemid 23617374)
31. Qian C, Lin W,. A continuous feedback approach to global strong stabilization of nonlinear systems. IEEE Transactions on Automatic Control 2001; 46 (7): 1061-1079. (Pubitemid 32732629)