Browsing Mathematics (Faculty of) by Subject "Control"
Now showing items 1-4 of 4
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Biologically Inspired Adaptive Control of Quadcopter Flight
(University of Waterloo, 2015-08-20)This thesis explores the application of a biologically inspired adaptive controller to quadcopter flight control. This begins with an introduction to modelling the dynamics of a quadcopter, followed by an overview of control ... -
Bounded Control of the Kuramoto-Sivashinsky equation
(University of Waterloo, 2013-10-25)Feedback control is used in almost every aspect of modern life and is essential in almost all engineering systems. Since no mathematical model is perfect and disturbances occur frequently, feedback is required. The design ... -
Control of Hysteresis in the Landau-Lifshitz Equation
(University of Waterloo, 2013-11-15)There are two main tools for determining the stability of nonlinear partial differential equations (PDEs): Lyapunov Theory and linearization. The former has the advantage of providing stability results for nonlinear ... -
Linearized Stability of Partial Differential Equations with Application to Stabilization of the Kuramoto--Sivashinsky Equation
(Society for Industrial and Applied Mathematics, 2018-01-05)Linearization is a useful tool for analyzing the stability of nonlinear differential equations. Unfortunately, the proof of the validity of this approach for ordinary differential equations does not generalize to all ...