Sampled-data control design for linear parameter varying systems
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Summary of the talk: In the first part of this talk, we will give a brief overview on the linear parameter-varying (LPV) systems theory and describe the stability and performance analysis for such systems, as well as the standard tools to examine them. We will then address the sampled-data control design problem for continuous-time LPV systems. First, to analyze the closed-loop hybrid system, we map the hybrid system dynamics into the continuous-time domain using the input-delay approach. The mathematical formulation of time-delay systems, in general, results in a system of functional differential equations (FDEs), which are infinite dimensional. We further develop a delay-dependent approach for control synthesis and propose a set of new analysis and synthesis conditions that are less conservative compared to the few existing work in the literature. The developed design formulations that can handle time-varying sampling rates are based on the solution to a set of linear matrix inequality- (LMI) based optimization problems. Finally, some of the applications of the developed formulations will be illustrated.
Javad Mohammadpour received BS and MS degrees in Electrical Engineering and PhD in Mechanical Engineering from Sharif Univ. of Technology, Tehran, Iran and Univ. of Houston, TX, respectively. He was a Research Assistant Professor of Mechanical Engineering at University of Houston (from 2008 to 2011) and a Research Investigator in the Naval Architecture & Marine Engineering (from 2011 to 2012) at the University of Michigan. He joined The University of Georgia as an Assistant Professor of Electrical Engineering in August 2012. He has published over 70 articles in international journals and conference proceedings, served as a PI or co-PI in several funded projects, served in the editorial boards of ASME and IEEE conferences on control systems and edited two books on control of large-scale systems and LPV systems modeling, control and applications.