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Control Theory for Automation – Advanced Techniques

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Book cover Springer Handbook of Automation

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Abstract

Analysis and design of control systems is a complex field. In order to develop appropriate concepts and methods to cover this field, mathematical models of the processes to be controlled are needed to apply. In this chapter mainly continuous-time linear systems with multiple input and multiple output (MIMO systems) are considered. Specifically, stability, performance, and robustness issues, as well as optimal control strategies are discussed in detail for MIMO linear systems. As far as system representations are concerned, transfer function matrices, matrix fraction descriptions, and state-space models are applied in the discussions. Several interpretations of all stabilizing controllers are shown for stable and unstable processes. Performance evaluation is supported by applying H 2 and H ∞ norms. As an important class for practical applications, predictive controllers are also discussed. In this case, according to the underlying implementation technique, discrete-time process models are considered. Transformation methods using state variable feedback are discussed, making the operation of nonlinear dynamic systems linear in the complete range of their operation. Finally, the sliding control concept is outlined.

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Abbreviations

DMC:

dynamic matrix control

EVD:

eigenvalue–eigenvector decomposition

GPC:

generalized predictive control

HJB:

Hamilton–Jacobi–Bellman

IMC:

instrument meteorological condition

IMC:

internal model controller

LMFD:

left matrix fraction description

LQ:

linear quadratic

LQR:

linear quadratic regulator

MFD:

multifunction display

MIMO:

multi-input multi-output

MPC:

model-based predictive control

NP:

nominal performance

NP:

nondeterministic polynomial-time

NS:

nominal stability

RHC:

receding horizon control

RMFD:

right matrix fraction description

RP:

reward–penalty

RS:

robust stability

SISO:

single-input single-output

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Author information

Authors and Affiliations

  1. Department of Automation and Applied Informatics, Budapest University of Technology and Economics, 1521, Budapest, Hungary

    István Vajk PhD

  2. Department of Automation and Applied Informatics, Budapest University of Technology and Economics, Goldmann Gy. Tér 3, 1111, Budapest, Hungary

    Jenő Hetthéssy PhD

  3. Department of Automation and Applied Informatics, Budapest University of Technology and Economics, Goldmann Gy. tér 3, 1111, Budapest, Hungary

    Ruth Bars PhD

Authors
  1. István Vajk PhD
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  2. Jenő Hetthéssy PhD
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  3. Ruth Bars PhD
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Corresponding authors

Correspondence to István Vajk PhD , Jenő Hetthéssy PhD or Ruth Bars PhD .

Editor information

Editors and Affiliations

  1. PRISM Center, and School of Industrial Engineering, Purdue University, 315 N. Grant Street, 47907, West Lafayette, IN, USA

    Shimon Y. Nof

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Vajk, I., Hetthéssy, J., Bars, R. (2009). Control Theory for Automation – Advanced Techniques. In: Nof, S. (eds) Springer Handbook of Automation. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78831-7_10

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  • DOI: https://doi.org/10.1007/978-3-540-78831-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78830-0

  • Online ISBN: 978-3-540-78831-7

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