Feedback linearisation of nonlinear singularly perturbed systems with non-separate slow-fast dynamics

IET Control Theory and Applications

Volumn 2, Issue 8, 2008, Pages 728-735

  Son, J W ^a   Lim, J T ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFEOMORPHISM; NONLINEAR SINGULARLY; SLOW FAST DYNAMICS;

DYNAMICS;

EID: 47549090251     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta:20070207     Document Type: Article

References (12)

1. Kokotovic, P.V., Khalil, H.K., and O'Reilly, J.: ' Singular perturbation methods in control analysis and design ', (SIAM, Philadelphia, 1999)
2. Lim, M.-T., and Kim, B.-S.: ' Optimal control of linear nonstandard singularly perturbed discrete systems ', Proc. of 39th CDC, Sydney, Australia, December, 2000, p. 2329-2334
3. Li, Y., Wang, J.L., and Yang, G.-H.: ' Sub-optimal linear quadratic control for singularly perturbed systems ', Proc. 40th CDC, Orlando, FL, USA, December, 2001, p. 3698-3703
4. Fridman, E.: ' Effects of small delays on stability of singularly perturbed systems ', Automatica, 2002, 38, (5), p. 897-902 10.1016/S0005- 1098(01)00265-5 0005-1098
5. Garcia, G., Daafouz, J., and Bernussou, J.: ' The infinite time near optimal decentralized regulator problem for singulr perturbed systems: A convex optimization approach ', Automatica, 2002, 38, (8), p. 1397-1406 10.1016/S0005-1098(02)00035-3 0005-1098
6. Kim, B.-S., Kim, Y.-J., and Lim, M.-T.: ' LQG control for nonstandard singularly perturbed discrete time systems ', Proc. 41st CDC, Las Vegas, NV, USA, December, 2002, p. 3736-3741
7. Fridman, E.: ' A descriptor system approach to nonlinear singularly perturbed optimal control problem ', Automatica, 2001, 37, (4), p. 543-549 10.1016/S0005-1098(00)00185-0 0005-1098
8. Chen, C.-C.: ' Criterion for global exponential stability of a class of nonlinear control systems via an integral manifold approach ', IEE Control Theory., 2000, 147, (3), p. 330-336
9. Christofiedes, P.D.: ' Robust output feedback control of nonlinear singularly perturbed systems ', Automatica, 2000, 36, (1), p. 45-52 0005-1098
10. Isidori, A.: ' Nonlinear control systems ', (Springer-Verlag, 1995)
11. Choi, H.-L., and Lim, J.-T.: ' Control of nonlinear singularly perturbed systems using feedback linearisation ', IEE Cont. Theory, 2005, 152, (1), p. 91-94
12. Khalil, H.K.: ' Nonlinear systems ', 3rd edn. (Prentice Hall, New Jersey, 2002)