Quadratic stabilization of uncertain systems: Reduced gain controllers, order reduction, and quadratic controllability
Abstract
In order to control an aerospace or mechanical system in the real world, a mathematical model is created to capture the system's salient features. Inevitably, this abstraction of the real system contains uncertain elements. This thesis deals with robust control problems for uncertain systems, in which the uncertainties are modelled deterministically rather than stochastically. Using a fixed quadratic form Lyapunov function (this approach is known as quadratic stabilization), we investigate the following issues pertaining to robust stabilization of uncertain systems: (i) Reduced gain controller synthesis for uncertain systems in which the uncertainties are characterized by certain structural conditions and are bounded by some known bounding parameters. (ii) System order reduction in robust stabilization problems. (iii) Controllability concepts for uncertain systems. Some physical examples are used to demonstrate the applicability of the results.
Degree
Ph.D.
Advisors
Rotea, Purdue University.
Subject Area
Aerospace materials
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