Given the following differential equation: 20x + 100x + 20x = 5u a. Derive the state space model of the system. b. If it is defined as yt - dx/dt, derive the transfer function relating output Y to input U (Y(s)/U(s)). c. Compute the time response if it is given an input u(t) = 2. ft = -1{Fs} Fs = L{ft} 1 1. 1 1 2. eat s - a
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To derive the state space model of the system, we need to express the given differential equation in the form of state equations. The general form of a state space model is: dx/dt = Ax + Bu y = Cx + Du where x is the state vector, u is the input vector, y is the Show more…
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