Skip to main content
Log in

Double-Ended Estimates of a Minimum Robust H -Norm for Uncertain Controllable Systems

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

For the class of uncertain nonlinear controllable systems, the notion of a robust H -norm is introduced. An efficient procedure of obtaining double-ended estimates for a minimum robust H -norm in the class of nonlinear feedback loops is stated. An example is given of the system for which the obtained estimates coincide with one another and with a minimum robust norm.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. Doyle, J.C., Glover, K., Khargoneker, P.P. et al., State-Space Solutions to Standard H 2 and H Control Problems, IEEE Trans. Autom. Control, 1989, vol. 34, no.8, pp. 831-847.

    Google Scholar 

  2. Kwakernaak, H., Robust Control and H -Optimization, Automatica, 1993, vol. 29, no.2, pp. 255-273.

    Google Scholar 

  3. Balandin, D.V., Limiting Possibilities of Control of Linear Systems and the Estimate of a Minimum H -Norm, Izv. Ross. Akad. Nauk, Teor., Sist. Upravlen., 2001, no. 6, pp. 50-56.

    Google Scholar 

  4. Balandin, D.V. and Kogan, M.M., The Estimate of Limiting Possibilities of the Robust H -Control of Linear Uncertain Systems, Avtom. Telemekh., 2002, no. 9, pp. 134-141.

    Google Scholar 

  5. Barabanov, A.E. and Pervozvanskii, A.A., Optimization in Uniform-Frequency Indices, Avtom. Telemekh., 1992, no. 9, pp. 3-32.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balandin, D.V., Kogan, M.M. Double-Ended Estimates of a Minimum Robust H -Norm for Uncertain Controllable Systems. Automation and Remote Control 64, 95–103 (2003). https://doi.org/10.1023/A:1021828509623

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021828509623

Keywords

Navigation