Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

New controller design method for continuous-time systems with state saturation

New controller design method for continuous-time systems with state saturation

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

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

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
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

  • Author(s): W. Guan 1  and  G.-H. Yang 1, 2
    • View affiliations
    • Affiliations: 1: College of Information Science and Engineering, Northeastern University, Shenyang, People's Republic of China
      2: Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University, Shenyang, People's Republic of China
  • Source: Volume 4, Issue 10, October 2010, p. 1889 – 1897
    DOI:  10.1049/iet-cta.2009.0433 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

This article studies the problems of stability analysis and controllers design for continuous-time linear systems with the consideration of full state saturation as well as partial state saturation. Owing to the difficulty and complexity in the controller design under state saturation, a new and tractable system is constructed, and it is shown that the constructed system is with the same domain of attraction as the original system. Based on this property, an linear matrix inequality (LMI) based method is presented for estimating the attraction domain of the origin for the new constructed system with state saturation. In addition, an algorithm is developed for designing dynamic output-feedback controllers, which guarantee that the attraction domain of the origin for the closed-loop system is as ‘large’ as possible. An example is given to illustrate the effectiveness of the design method.

Inspec keywords: linear systems; closed loop systems; linear matrix inequalities; stability; continuous time systems; control system synthesis; feedback

Other keywords: state saturation; continuous-time linear system; attraction domain; stability analysis; controller design; linear matrix inequality; dynamic output-feedback controller; closed-loop system

Subjects: Algebra; Control system analysis and synthesis methods; Stability in control theory

References

    1. 1)
      • T. Hu , A.R. Teel , L. Zaccarian . Anti-windup synthesis for linear control systems with input saturation: achieving regional, nonlinear performance. Automatica , 512 - 519
    2. 2)
      • J.M. Gomes da Silva , S. Tarbouriech . Anti-windup design with guaranteed regions of stability: an LMI-based approach. IEEE Trans. Autom. Control , 1 , 106 - 111
    3. 3)
      • H. Kar , V. Singh . Stability analysis of discrete-time systems in a state-space realization with partial state saturation nonlinearities. IEE Proc. Control Theory Appl. , 205 - 208
    4. 4)
      • D. Liu , A.N. Michel . Asymptotic stability of discrete-time systems with saturation nonlinearities with application to digital filters. IEEE Trans. Circuits Syst. , 789 - 807
    5. 5)
      • D. Liu , A.N. Michel . Stability analysis of systems with partial state saturation nonlinearities. IEEE Trans. Circuits Syst. , 230 - 232
    6. 6)
      • V. Singh . Improved criterion for global asymptotic stability of 2-D discrete systems with state saturation. IEEE Signal Process. Lett. , 719 - 722
    7. 7)
      • H. Fang , L. Lin . Stability analysis for linear systems under state constraints. IEEE Trans. Autom. Control , 950 - 955
    8. 8)
      • V. Singh . On global asymptotic stability of 2-D discrete systems with state saturation. Phys. Lett. A , 5287 - 5289
    9. 9)
      • Mantri, R., Saberi, A., Venkatasubramanian, V.: `Stability analysis of continuous time plannar systems with state saturation nonlinearity', Proc. IEEE ISCAS'96, 1996, Atlanta, GA, p. 60–63.
    10. 10)
      • Hou, L., Michel, A.N.: `Asymptotic stability of systems with saturation constraints', Proc. 35th IEEE Conf. on Decision Control, 1996, p. 2624–2629.
    11. 11)
      • L. Hou , A.N. Michel . (1994) Dynamical systems with saturation nonlinearities: analysis and design.
    12. 12)
      • Dai, D., Hu, T., Teel, A.R., Zaccarian, L.: `Control of saturated linear plants via output feedback containing an internal deadzone loop', Proc. 2006 ACC, 2006, Minneapolis, USA, p. 5239–5245.
    13. 13)
      • V. Singh . Stability analysis of discrete-time systems in a state-space realisation with state saturation nonlinearities: linear matrix inequality approach. IEE Proc. Control Theory Appl. , 9 - 12
    14. 14)
      • J.J. Hopfield , D.W. Tank . Neural computation of decisions in optimization problems. Biol. Cybern. , 141 - 152
    15. 15)
      • Kolev, L., Petrakieva, S., Mladenov, V.: `Interval criterion for stability analysis of discrete-time neural networks with partial state saturation nonlinearities', Proc. Seventh Seminar on Neural Network Applications in Electrical Engineering, 2004, p. 11–16.
    16. 16)
      • V. Singh . Elimination of overflow oscillations in fixed-point state space digital filters using saturation arithmetic. IEEE Trans. Circuits Syst. , 814 - 818
    17. 17)
      • D. Liu , A.N. Michel . Asymptotic stability of systems operating on a closed hypercube. Syst. Control Lett. , 281 - 285
    18. 18)
      • H. Kar , V. Singh . Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach. IEEE Trans. Signal Process. , 2267 - 2271
    19. 19)
      • T. Ooba . On companion systems with state saturation nonlinearity. IEEE Trans. Circuits Syst. , 1580 - 1584
    20. 20)
      • F. Wu , Z. Lin , Q. Zheng . Output feedback stabilization of linear systems with actuator saturation. IEEE Trans. Autom. Control , 122 - 128
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0433
Loading

Related content

content/journals/10.1049/iet-cta.2009.0433
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
Print this page
This is a required field
Please enter a valid email address