Stability analysis and control of non‐standard nonlinear singularly perturbed system

Stability analysis and control of non‐standard nonlinear singularly perturbed system

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IEE Proceedings - Control Theory and Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

Stability analysis and control of a non‐standard nonlinear singularly perturbed system are studied. A non‐standard form in which linear and nonlinear parts coexist is considered and a transformation using linear parts is suggested. On the basis of this transformation, the non‐standard form is changed into a quasi-standard form, which is similar to a standard form. For the transformed system, the stability conditions under which the system is exponentially stable for the sufficiently small perturbation parameter ε are found. Using this analysis, a stabilising controller is designed. The practical aspects of the scheme proposed are illustrated through the control of a series DC motor.


    1. 1)
      • P.V. Kokotovic , H.K. Khail , J. O'Reilly . (1986) Singular perturbation methods in control: analysis and design.
    2. 2)
      • R.E. O'Malley . (1991) Singular perturbation methods for ordinary differential equations.
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
      • H.K. Khalil . (1988) Nonlinear systems.
    12. 12)
    13. 13)

Related content

This is a required field
Please enter a valid email address