Péter Gáspár, Zoltán Szabó, József Bokor

Discrete Feedback Systems 2.

Modern Control


Ho and Kalman Realization

The problem of minimal realization was first solved by Ho and Kalman in 1965 who presented the minimal realization theorem for noise-free data which states: there exists a minimum size of the system operator A for a given pairs of the input and the output. Moreover, a realization (A,B,C) is minimal if and only if the ranks of the corresponding observability and controllability matrices, Or and Cq, are n. The minimum realization theory of Ho and Kalman is valid for noise-free data: if the data are free of noises, the smallest size A matrices of all the possible realizations must be the same, and they are related by similarity transformations.

Discrete Feedback Systems 2.

Tartalomjegyzék


Kiadó: Akadémiai Kiadó

Online megjelenés éve: 2019

ISBN: 978 963 454 373 2

The classical control theory and methods that we have been presented in the first volume are based on a simple input-output description of the plant, expressed as a transfer function, limiting the design to single-input single-output systems and allowing only limited control of the closed-loop behaviour when feedback control is used. Typically, the need to use modern linear control arises when working with models which are complex, multiple input multiple output, or when optimization of performance is a concern. Modern control theory revolves around the so-called state-space description. The state variable representation of dynamic systems is the basis of different and very direct approaches applicable to the analysis and design of a wide range of practical control problems. To complete the design workflow, finally some introduction into system identification theory is given.

Hivatkozás: https://mersz.hu/gaspar-szabo-bokor-discrete-feedback-systems-2//

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