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Yet another introduction to linear dynamical systems control: From identification and approximation to digital control

2020/03/23 by Charles Poussot-Vassal, Poussot-Vassal, Charles, Pierre Vuillemin +1
Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Electrical engineering #Model Reduction and Neural Networks #Real-time simulation and control systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2003.10481

openalex publication_date 2020/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This report aims at presenting (yet) a(nother) methodology to design and implement a linear controller for linear dynamical systems on practical applications. The specificity of this report is that authors try to cover (obviously in a non exhaustive way) a wide range of control engineering fields. Indeed, the main purpose is to give a quick overview of standard control engineer approaches to non familiar readers. More specifically, using a simple toy example, we discuss the main steps control engineers usually follow. Namely, (i) the excitation signals construction, (ii) the (continuous-time) linear model construction and approximation, (iii) the (continuous-time) control design, and finally, (iv) its time-domain discretisation and control signal modulation in view of practical implementation. This report is clearly user-oriented and thus focuses on practical aspects (using Matlab code) rather than on theoretical ones, let to the reader's curiosity with few but relevant references.

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