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On designing controllers for a class of uncertain sampled-data nonlinear systems

On designing controllers for a class of uncertain sampled-data nonlinear systems

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  • Author(s): L. Xie 1 ; P. Shi 2 ; C.E. de Souza 2
    • View affiliations
    • Affiliations: 1: School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore
      2: Department of Electrical and Computer Engineering, University of Newcastle, Newcastle, Australia
  • Source: Volume 140, Issue 2, March 1993, p. 119 – 126
    DOI:  10.1049/ip-d.1993.0016 , Print ISSN 0143-7054, Online ISSN 2053-793X
© The Institution of Electrical Engineers
Published

The subject of the paper is the robust control of a class of sampled-data nonlinear systems with real time-varying parameter uncertainty and unknown cone-bounded nonlinearity. We consider the problems of robust stabilisation and robust performance in an H∞ sense, and attention is focused on the design of linear dynamic sampled-data output feedback controllers. A control design methodology is proposed for solving both problems by recasting them into ‘scaled’ H∞ control problems for a related system which involve neither parameter uncertainty nor unknown nonlinearity.

Inspec keywords: sampled data systems; feedback; stability; nonlinear control systems; time-varying systems

Other keywords: uncertain sampled-data nonlinear systems; scaled H∞ control problems; unknown cone-bounded nonlinearity; linear dynamic sampled-data output feedback controllers; robust performance; robust stabilisation; real time-varying parameter uncertainty; robust control

Subjects: Discrete control systems; Nonlinear control systems; Time-varying control systems; Stability in control theory

References

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