The state representation of a system is as follows: A-C x X 0 1 = 00...
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The state representation of a system is as follows: A-C x X 0 1 = 00 0 Xx 1 x +0u -2 0-5x3. y=[100]x a) Design a controller for the system, place the poles at s=-2 and s=-1 2j. b) Design a full-order observer for the system, place the observer poles at s=-4 and s=-4 4j. c) Using MATLAB, plot x,x, x3, ,2,3 in the same graph. Note that the initial state of the system is (0.3, 0.1, 0.5); the initial state of the observer is (0, 0, 0). The state representation of a system is as follows: A-C x X 0 1 = 00 0 Xx 1 x +0u -2 0-5x3. y=[100]x a) Design a controller for the system, place the poles at s=-2 and s=-1 2j. b) Design a full-order observer for the system, place the observer poles at s=-4 and s=-4 4j. c) Using MATLAB, plot x,x, x3, ,2,3 in the same graph. Note that the initial state of the system is (0.3, 0.1, 0.5); the initial state of the observer is (0, 0, 0).
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