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Unformatted text preview: (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 4. A set of state-space equations is given by: x ˙ 1 = x 1 ( u − βx 2 ) x ˙ 2 = x 2 ( − α + βx 1 ) where u is the input and α and β are positive constants. (a) Is this system linear or nonlinear, time-varying or time-invariant? (b) Determine the equilibrium points for this system (constant operating points), assuming a constant input u = 2. (c) Near the positive equilibrium point from (b), Fnd a linearized state-space model of the system. 2 Cite as: Jonathan How, course materials for 16.31 Feedback Control Systems, Fall 2007. MIT OpenCourseWare (http://ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]....
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- Fall '07
- Feedback Control Systems, Massachusetts Institute of Technology, state space model