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Lecture 2 – Linear Systems

EE392m - Spring 2005 GorinevskyControl Engineering2-1 Lecture 2 Linear SystemsThis Lecture : EE263 material recap + some controls motivation Continuous time (physics) Linear state space model Transfer functions Black-box models; frequency domain analysis LinearizationEE392m - Spring 2005 GorinevskyControl Engineering2-2 Modeling and Analysis This Lecture considers Linear models. More detail on modeling in Lecture 7 Simulation: computing state evolution and output signal Stability: does the solution diverge after some time? Approximate Linear modelsSystem Model[internal states]Input signal(control)Output signal(observation)state evolutionEE392m - Spring 2005 GorinevskyControl Engineering2-3 Linear Models Model is a mathematical representations of a system Models allow simulating the system Mo

• Model is a mathematical representations of a system – Models allow simulating the system ... by Stevens and Lewis x1 - velocity V [ft/sec] x2 - angle of attack α [rad] ... – Broad class of input-output linear models • Differentiation operator

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