ECE 1659H: Robust and Optimal ControlThis is the publicfacing website for the University of Toronto course ECE1659H "Robust and Optimal Control". This website is unofficial and for informational purposes only. Enrolled students should consult the course website hosted on Quercus for the official course information sheet. Course InformationCalendar DescriptionConvex optimization methods based on Linear Matrix Inequalities (LMIs) have dramatically expanded our ability to analyze and design complex multivariable control systems. This course explores material from the broad areas of robust and optimal control, with an emphasis on formulating systems analysis and controller design problems using LMIs. Topics include: historical context of robust control, fundamentals of optimization, linear matrix inequalities and semidefinite programming. Linear systems theory: Lyapunov inequalities, inputoutput performance criteria for dynamic systems, dissipative dynamical systems, and the generalized plant framework for optimal control. LMI solutions of H2 and HInfinity state and output feedback control problems. Uncertain systems: linear and nonlinear uncertainty modelling, linear fractional representations, robust stability analysis, robust performance analysis. Introduction to integral quadratic constraints. PrerequisitesCompetency in classical control (ECE311 ECE356) and linear systems theory (ECE410 ECE557 or equivalent) is required. Introductory knowledge of nonlinear dynamical systems and convex optimization would be highly beneficial, but is not strictly required. Syllabus
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