Robust Control: Supplementary Topics
Nov. 2024 · Cambridge Scholars Publishing
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This "Robust Control" course consists of 25 lectures aimed at graduate students in Electrical and Mechanical Engineering. It focuses on how modern robust control theory addresses real-world problems. Robustness is defined by three requirements: the plant model may be inexact or uncertain, the system must handle external perturbations, and the controller should be simple for easy implementation. The course is divided into five parts: Mathematical Background and Linear Matrix Inequalities in Control Theory, Absolute Stability and H1-Control, Attractive Ellipsoid Method (AEM), Sliding Mode Control (SMC), and Engineering Examples. Topics include conditions for LMI solutions, Schur’s lemma extension, dynamic feedback controller design using AEM, robust control for time-delay systems, Sampled-Data and Quantized Output systems, SMC methods, and Absolute Stability analysis. This course complements existing resources and provides practical tools for feedback design.
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Alexander S. Poznyak graduated from Moscow Physical Technical Institute, Russia, in 1970 and earned his PhD and Doctor Degrees from the Institute of Control Sciences of the Russian Academy of Sciences in 1978 and 1989. From 1973 to 1993, he was a researcher at the institute before becoming a full professor at Instituto Politécnico Nacional in Mexico. He served as head of the Automatic Control Department for eight years and directed 43 PhD theses. Poznyak has published over 280 papers and 14 books. He is a member of the Mexican Academy of Sciences, and a Fellow of the Institute of Mathematics and Applications. He serves as Associate Editor for several journals, including the Oxford-IMA Journal on Mathematical Control and Information. He has been involved in various editorial and evaluation committees.
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