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CDS 101: Lecture 41
Reachability and State Space Feedback
Douglas G. MacMynowski
18 October 2010
Goals:
Define reachability of a control system
Give tests for reachability of linear systems and apply to examples
Describe the design of state feedback controllers for linear systems
Reading:
Åström and Murray,
Feedback Systems,
Ch 6
Review from last week
Properties of Linear Systems:
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Linearity with respect to inputs and
initial conditions
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Stability characterized by eigenvalues
• Response described by convolution
u
y
Response described by convolution
integral
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Many applications and tools
•
Characterizes a nonlinear system
around an equilibrium point
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No system is linear for all input
amplitudes, but linearization is a good
enough model for many systems
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18 Oct 10
D. G. MacMynowski, Caltech CDS
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