'Second order system' presentation slideshows

Lecture 27. Two Big Examples

Lecture 27. Two Big Examples. The eleven link diver. The Stanford Arm (Kane & Levinson). The Eleven Link Diver. Parts of the diver. The joints. neck. C1. head. shoulder. wrist. hand. C7. upper arm. T6. thorax. elbow. lower arm. abdomen. L1. pelvis. hip. thigh. knee. calf.

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Introduction to Control Theory

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Lecture 26. Control of the Diver

Lecture 26. Control of the Diver. In order for a diver to do what he or she does the diver applies effective torques at the joints. We want to find a recipe for doing this that will cause the simulated diver to execute the diver. This is a control problem.

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Feedback Control System

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Ch.7 The z-Transform and Discrete-Time Systems

Ch.7 The z-Transform and Discrete-Time Systems. 7.1 The z-Transform. Definition: Consider the DTFT: X( ? ) = ? all n x[n]e -j ? n (7.1) Now consider a real number ? and the factor ? n Then X(z) = ? all n x[n] ? -n e -j ? n = ? all n x[n]z -n

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Second Order Systems

m. Second Order Systems. Spring force ky. (proportional to displacement). (proportional to velocity). F(t). Second-Order Systems. Contains the following two elements Energy storage element Damper restricts flow of energy

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Lecture 21

Lecture 21. Review: Second order electrical circuits Series RLC circuit Parallel RLC circuit Second order circuit natural response Sinusoidal signals and complex exponentials Related educational materials: Chapter 8.2, 8.3. Summary: Series & parallel RLC circuits. Series RLC circuit:.

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Lecture 19: Discrete-Time Transfer Functions

Lecture 19: Discrete-Time Transfer Functions. 7 Transfer Function of a Discrete-Time Systems (2 lectures): Impulse sampler, Laplace transform of impulse sequence, z transform. Properties of the z transform. Examples. Difference equations and differential equations. Digital filters .

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Today

Today. Vibrations measurements Case Study and Practice. Case study: Task objective. Identify the first three natural frequencies of a cantilever beam loaded with three masses Check for aliasing/leakage problems. Case study: theory review.

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