Figure E6.21 shows a thermal second-order system with in
Question and Solution
Figure E6.21 shows a thermal second-order system with input u(t) and output y(t). The temperature output is converted by
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Figure E6.21 shows a thermal second-order system with input u(t) and output y(t). The temperature output is converted by a transducer, modeled as a first-order lag, to an electronic signal v(t). (a) Find the exact solution for the unit step response of v(t). (b) Find the stiffness ratio relating the ratio of the largest to the smallest (in magnitude) characteristic root of the system. Is the system stiff? (c) Simulate the unit step response with a fixed-step RK integrator. What is the largest integration step size that can be used to obtain a stable solution? (d) Repeat part (c) using one of Simulink
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