Péter Gáspár, Zoltán Szabó, József Bokor

Discrete Feedback Systems 2.

Modern Control


Disc margins of DLQR

In this section we derive a disc margin, which can be thought of as a combined notion of the classical gain and phase margins, of a DLQR. Unlike the classical gain or phase margins, it measures the robustness of the input channel when the perturbation is of both magnitude and phase simultaneously. Unlike the case of continuous-time LQR, the gain and phase margins are not immediately guaranteed as the intervals (1/2,) and (-π/3, +π/3). Instead of the return difference function or transfer matrix, a derivation based on the Lyapunov argument can shown that, if the pair (A,B) is stabilizable, the gain and phase margins of DLQR almost recover that of continuous-time LQR when designed with a small Q.

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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