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Discrete-Time Approximation of Multivariable Continuous-Time Delay Systems

Discrete-Time Approximation of Multivariable Continuous-Time Delay Systems
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Author(s): Bemri H'mida (National Engineers School of Tunis BP 37, Tunisia), Mezlini Sahbi (National Engineers School of Tunis BP 37, Tunisia)and Soudani Dhaou (National Engineers School of Tunis BP 37, Tunisia)
Copyright: 2015
Pages: 27
Source title: Handbook of Research on Advanced Intelligent Control Engineering and Automation
Source Author(s)/Editor(s): Ahmad Taher Azar (Benha University, Egypt)and Sundarapandian Vaidyanathan (Vel Tech University, India)
DOI: 10.4018/978-1-4666-7248-2.ch019

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Abstract

Many works are related to the analysis and control of either continuous or else discrete time-delay systems. In general, discrete-time controls have become more and more preferable in engineering because of their easy implementation and simple computation. However, the available discretization approaches for the systems having time delays increase the system dimensions and have a high computational cost. The case studies in this chapter support the efficiency of the two methods. However, the discretization of continuous time-delay systems has not been sufficiently/extensively studied in many works. In this work, the authors present two methods of the effective discretization approach for the continuous-time systems with an input and output delays. Sampled-data time-delay systems with internal and external point delays are described by approximate discrete time-delay systems in the discrete domain. These approximate discrete systems allow the hybrid control of time-delay systems.

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