31 Consider The System Modelled By The Second Order Differential Equation T 3y T 2y 2u 1 A Choosing The State 1 (19.09 KiB) Viewed 22 times
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31 Consider the system modelled by the second-order differential equation t) + 3y(t) + 2y = 2u(1) (a) Choosing the state-vector x = [yy]" express this in a state-space form. (b) Using Euler's method, determine the approximating discrete-time state-space model. (c) Illustrate by plotting the responses y(t), for both the exact continuous response and the discretized responses, for a step input u(t) = 1 and zero initial conditions, taking T = 0.2
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