Global exponential stabilisation for nonlinear singularly perturbed systems

IEE Proceedings: Control Theory and Applications

Volumn 145, Issue 4, 1998, Pages 377-382

  Chen, C C ^a  

^a National Hinvei Institute of Technolog)'   (China)

Author keywords

Global exponential stabilisation; Singularly perturbed systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; FEEDBACK CONTROL; INTEGRAL EQUATIONS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

COMPOSITE LYAPUNOV FUNCTION TECHNIQUE; GLOBAL EXPONENTIAL STABILIZATION; NONLINEAR SINGULARLY PERTURBED SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0032118452     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:19981984     Document Type: Article

References (16)

1. KOKOTOVIC, P.V., KHALIL, H.K., and O'REILLY, J.: 'Singular perturbation methods in control: analysis and design' (Academic Press, New York, 1986)
2. SHAO, Z., and ROWLAND, J.R.: 'Stability of time-delay singularly perturbed systems', IEE Proc. Control Theory Appl (UK), 1995, 142, (2), pp. 111-113
3. TAYLOR, D.O.: 'Composite control of direct-drive robots'. Proceedings of 28th IEEE conference on Decision and control, 1989, pp. 1670-1675
4. SPONG, M.W., KHORASANI, K., and KOKOTOVIC, P.V.: 'An integral manifold approach to the feedback control of flexible joint robots', IEEE J. Robot. Autom. (USA), 1987, 3, pp. 291300
5. MOERDER, D.D., and CALISE, A.J.: Two-time scale stabilization of systems with output feedback, 1', J. Guid. Control Dyn. (USA), 1985, 8, pp. 731-736
6. SOBOLEV, V.A.: 'Integral manifolds and decomposition of singularly perturbed systems', Syst. and Control Lett. (Netherlands), 1984, 5, pp. 169-179
7. SABERI, A., and KHALIL, H.K.: 'Stabilization and regulation of nonlinear singularly perturbed systems-composite control', IEEE Trans. Autom. Control (USA), 1985, 30, pp. 739-747
8. KHORASANI, K., and KOKOTOVIC, P.V.: 'A corrective feedback design for nonlinear systems with fast actuators', IEEE Trans. Autom. Control (USA), 1986, 31, pp. 67-69
9. SHARKEY, P.M., and O'REILLY, J.: 'Exact design manifold control of a class of nonlinear singularly perturbed systems', IEEE Trans. Autom. Control (USA), 1987, 32, pp. 933-935
10. MARINO, R., and KOKOTOVIC, P.V.: 'A geometric approach to nonlinear singularly perturbed systems', Aiitomalica, 1988, 24, pp. 31-41
11. SHARKEY, P.M., and O'REILLY, J.: 'Composite control of nonlinear singularly perturbed systems: A geometric approach', Int. J. Control (UK), 1988, 48, pp. 2491-2506
12. SU, J.P., and HSIEH, J.G.: 'Composite feedback control for a class of nonlinear singularly perturbed systems with fast actuators', Int. J. Control (UK), 1990, 52, pp. 571-579
13. KHALIL, H.K., and HU, Y.N.: 'Steering control of singularly perturbed systems: a composite control approach', Automatica, 1989. 25, pp. 65-75
14. CHEN, B.S., and LIN, C.L.: 'On the stability bounds of singularly perturbed systems', IEEE Trans. Autom. Control (USA), 1990. 35, (11), pp. 1265-1270
15. LIN, C.L., and CHEN, B.S.: 'On the design of stabilizing controllers for singularly perturbed systems', IEEE Trans. Autom. Control (USA), 1992, 37, (11), pp. 1828-1834
16. HAHN, W.: 'Stability of motion' (Springer-Verlac, New York, 1967)