Generalized state scaling-based robust control of nonlinear systems and applications to triangular systems

Proceedings of the American Control Conference

Volumn 5, Issue , 2005, Pages 3427-3432

  Krishnamurthy, P ^a   Khorrami, F ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLYNOMIAL BOUNDS; STABILITY ANALYSIS; STATE-FEEDBACK STABILIZATION;

CONTROL EQUIPMENT; FEEDBACK; FUNCTIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; PARAMETER ESTIMATION; POLYNOMIALS; UNCERTAIN SYSTEMS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 23944504500     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. H. K. Khalil and A. Saberi, "Adaptive stabilization of a class of nonlinear systems using high-gain feedback," IEEE Transactions on Automatic Control, vol. 32, no. 11, pp. 1031-1035, Nov. 1987.
2. A. Hchmann, "High-gain adaptive control: an overview," in IEE Colloquium on Adaptive Control (Digest No: 1996/139), London, UK, June 1996, pp. 1-4.
3. A. Hchmann and E. P. Ryan, "On gain adaptation in adaptive control," IEEE Transactions on Automatic Control, vol. 48, no. 5, pp. 895-899, May 2003.
4. A. R. Teel and L. Praly, "Global stabilizability and observability imply semi-global stabilizability by output feedback," Systems and Control Letters, vol. 22, no. 5, pp. 313-325, May 1994.
5. H. K. Khalil, "Adaptive output feedback control of nonlinear systems represented by input-output models," IEEE Transactions on Automatic Control, vol. 41, no. 2, pp. 177-188, Feb. 1996.
6. E. Bullinger and F. Allgöwer, "Adaptive λ-tracking for nonlinear systems with higher relative degree," in Proceedings of the IEEE Conference on Decision and Control, Sydney, Australia, Dec. 2000, pp. 4771-4776.
7. L. Praly, "Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate," IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 1103-1108, June 2003.
8. P. Krishnamurthy, F. Khorrami, and R. S. Chandra, "Global high-gain-based observer and backstepping controller for generalized output-feedback canonical form," IEEE Transactions on Automatic Control, vol. 48, no. 12, pp. 2277-2284, Dec. 2003.
9. P. Krishnamurthy, F. Khorrami, and Z. P. Jiang, "Global output feedback tracking for nonlinear systems in generalized output-feedback canonical form," IEEE Transactions on Automatic Control, vol. 47, no. 5, pp. 814-819, May 2002.
10. P. Krishnamurthy and F. Khorrami, "Robust adaptive control for non-linear systems in generalized output-feedback canonical form," International Journal of Adaptive Control and Signal Processing, vol. 17, no. 4, pp. 285-311, May 2003.
11. _, "Dynamic high-gain scaling: state and output feedback with application to systems with ISS appended dynamics driven by all states," IEEE Transactions on Automatic Control, vol. 49, no. 12, pp. 2219-2239, Dec. 2004.
12. _, "Global robust control of feedforward systems: state-feedback and output-feedback," in Proceedings of the IEEE Conference on Decision and Control, Maui, HI, Dec. 2003, pp. 6145-6150.
13. _, "A high-gain scaling technique for adaptive output feedback control of feedforward systems," IEEE Transactions on Automatic Control, vol. 49, no. 12, pp. 2286-2292, Dec. 2004.
14. A. R. Teel, "Using saturation to stabilize a class of single-input partially linear composite systems," in Proceedings of the IFAC NOLCOS, Bordeaux, France, 1992, pp. 379-384.
15. F. Mazene and L. Praly, "Adding integrations, saturated controls and stabilization for feedforward systems," IEEE Transactions on Automatic Control, vol. 41, no. 11, pp. 1559-1578, Nov. 1996.
16. A. R. Teel, "A nonlinear small gain theorem for the analysis of control systems with saturation," IEEE Transactions on Automatic Control, vol. 41, no. 9, pp. 1256-1270, Sep. 1996.
17. G. Kaliora and A. Astolfi, "A simple design for the stabilization of a class of cascaded nonlinear systems with bounded control," in Proceedings of the IEEE Conference on Decision and Control, Orlando, FL, Dec. 2001, pp. 2784-3789.
18. R. Sepulchre, M. Jankovic, and P. V. Kokotovic, "Integrator forwarding: a new recursive nonlinear robust design," Automatica, vol. 33, no. 5, pp. 979-984, May 1997.
19. P. Krishnamurthy and F. Khorrami, "A high gain multiple timescaling technique for global control of nonlinear systems," in Proceedings of the American Control Conference, Boston, MA, July 2004.
20. _, "Conditions for uniform solvability of parameter-dependent Lyapunov equations with applications," in Proceedings of the American Control Conference, Boston, MA, July 2004, pp. 3896-3901.