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State-Space Based H ∞ Robust Controller Design for Boiler-Turbine System

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Abstract

This paper describes the use of the linear H ∞ Theory to design a robust controller for the steam-turbine unit. This work considers issues like time variations, non-linearity, and dynamic coupling of a MIMO nonlinear model of this unit. After a detailed analysis of various operating points, a nominal one is chosen around which the linear model is obtained. Six other operating points are deliberated to test the robustness features of the controller. The proposed controller guarantees the internal stability and satisfies the requirements of both of frequency and time domains. A simulation is conducted in order to demonstrate how these requirements are satisfied when step signals and disturbances are applied simultaneously to the input channels.

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Abbreviations

H ∞ :

Subspace containing all analytic and bounded transfer functions in the open right-half plane

ρ(G):

Maximum eigenvalue of the matrix G

\({\left\| G \right\|_\infty}\) :

H ∞ norm of G

W P (s):

Performance weighting filter

W I (s):

Uncertainty weighting filter

\({\bar {\sigma}}\) :

Maximum singular values of the matrix G

T zw :

Weighted closed-loop transfer function

γ :

Solution of the H ∞ optimization

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Authors and Affiliations

  1. Electrical Engineering Department, Isra University, Amman, Jordan

    Rami A. Maher

  2. Electrical Engineering Department, College of Engineering, University of Baghdad, Jadiryah, Baghdad, Iraq

    Ismail A. Mohammed

  3. Computer Engineering Department, College of Engineering, University of Baghdad, Jadiryah, P. O. B. 47273, Baghdad, Iraq

    Ibraheem Kasim Ibraheem

Authors
  1. Rami A. Maher
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  2. Ismail A. Mohammed
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  3. Ibraheem Kasim Ibraheem
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Correspondence to Ibraheem Kasim Ibraheem.

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Maher, R.A., Mohammed, I.A. & Ibraheem, I.K. State-Space Based H ∞ Robust Controller Design for Boiler-Turbine System. Arab J Sci Eng 37, 1767–1776 (2012). https://doi.org/10.1007/s13369-012-0275-5

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  • DOI: https://doi.org/10.1007/s13369-012-0275-5

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