Péter Gáspár, Zoltán Szabó, József Bokor

Discrete Feedback Systems 2.

Modern Control


Maximum Likelihood Estimation (MLE)

In a statistical parameter estimation approach, the joint probability density function of the measured data is a starting point of the estimation procedure. Having a data generating system y(t)=G0(q)u(t)+H0(q)e(t) the input signal u is considered as a given-deterministic-sequence and the pdf of a sequence of observations {y(1)y(N)} is determined entirely by the pdf of {e}. If e(t) has a pdf fe(x, t), with {e} a sequence of independent random variables, then the joint probability density function for yN conditioned on the given input sequence uN is given by fy(θ, xN)=t=1Nfe(x(t)-x^t|t-1(θ)), and the corresponding likelihood is:

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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