Modern control theory

  • Branislav Kisačanin
  • Gyan C. Agarwal
Part of the The University Series in Mathematics book series (USMA)

Abstract

Usually, when speaking about the “modern” automatic control, we think of that part of the control theory that relies on the state-space approach to system representation and design. This approach is particularly important for the systems with multiple inputs and outputs and for the higher-order systems in general. The “classical” control, characterized by the use of frequency domain methods, is still preferable for lower-order single-input single-output systems. Although the adjective “classical” may suggest that this approach is a matter of the past, it is certainly not. In many cases the most effective attack on a problem is made by a combined use of both frequency and state-space methods. That shouldn’t be surprising, because, as T. Kailath says in [22],

transfer functions (or high-order differential equation) descriptions and state-space (or first-order differential equation) descriptions are only two extremes of a whole spectrum of possible descriptions of finite-dimensional systems.

Keywords

Covariance Dition Settling sinO Alsn 

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Branislav Kisačanin
    • 1
  • Gyan C. Agarwal
    • 2
  1. 1.Delphi Delco Electronics SystemsKokomoUSA
  2. 2.University of Illinois at ChicagoChicagoUSA

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