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9. For each of the following systems, determine whether it is: (i) controllable, uncontrollable but stabilizable, or uncontrollable and unstabilizable, and (ii) observable, unobservable but detectable, or unobservable and undetectable. In addition, obtain the transfer function and determine whether there are pole-zero cancellations. -3 2] (a) i = -4 u, y = [4 -2] r. 3 (b) i u, y = [-1 3] r. -3 (c) i = u, y= [-3 1] r.

9. For each of the following systems, determine whether it is: (i) controllable, uncontrollable but stabilizable, or uncontrollable and unstabilizable, and (ii) observable, unobservable but detectable, or unobservable and undetectable. In addition, obtain the transfer function and determine whether there are pole-zero cancellations. -3 2] (a) i = -4 u, y = [4 -2] r. 3 (b) i u, y = [-1 3] r. -3 (c) i = u, y= [-3 1] r.

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9. For each of the following systems, determine whether it is: (i) controllable, uncontrollable but stabilizable, or uncontrollable and unstabilizable, and (ii) observable, unobservable but detectable, or unobservable and undetectable. In addition, obtain the transfer function and determine whether there are pole-zero cancellations. -3 2] (a) i = y = [4 -2] r. U, -4 3 [1 1 (b) i = [2 u, y = [-1 3] a. 3 (c) i = u, y = [-3 1] r. -2 0
Transcribed Image Text:9. For each of the following systems, determine whether it is: (i) controllable, uncontrollable but stabilizable, or uncontrollable and unstabilizable, and (ii) observable, unobservable but detectable, or unobservable and undetectable. In addition, obtain the transfer function and determine whether there are pole-zero cancellations. -3 2] (a) i = y = [4 -2] r. U, -4 3 [1 1 (b) i = [2 u, y = [-1 3] a. 3 (c) i = u, y = [-3 1] r. -2 0
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