21 - tf2ss21 filled

21 - tf2ss21 filled - ME 575 Handouts 1 ME575 Session 21...

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Unformatted text preview: ME 575 Handouts 1 ME575 Session 21 Transfer Functions to State Space Form School of Mechanical Engineering Purdue University Slide 1 State Space Model State Space Model x(t) Ax(t) Bu(t) = + y(t) Cx(t) Du(t) = + State State- the smallest set of n variables ( the smallest set of n variables ( state variables state variables ) ) such that knowledge of these n variables at t = t such that knowledge of these n variables at t = t , , together with knowledge of the input for t together with knowledge of the input for t t , , completely and uniquely determines system behavior completely and uniquely determines system behavior for t for t t . State vector State vector- nth order vector whose components are nth order vector whose components are the state variables the state variables State space State space- n-dimensional space whose coordinate dimensional space whose coordinate axes consist of the x axes consist of the x 1 axis, x axis, x 2 axis, etc. axis, etc. ME575 Session 21 Transfer Functions to State Space Form School of Mechanical Engineering Purdue University Slide 2 State Space Representation State Space Representation ME 575 Handouts 2 ME575 Session 21 Transfer Functions to State Space Form...
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21 - tf2ss21 filled - ME 575 Handouts 1 ME575 Session 21...

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