Simulink Model for y = -lOy + f(t) Construct a SimuIink model to solve y = -10y + ƒ(t)      y(O) = 1 where ƒ(t) = 2 sin 4t, for 0  ≤ t ≥ 3. • Solution To construct the simulation, do the following steps, 1. You can use the model shown in Figure…

Simulink Model of a Two-Mass-System Develop a Simulink model to plot the unit-step response of the variables XI and X2 with the initial conditions XI (0) = 0.2, XI (0) = 0, X2(0) = 0.5, X2(0) = 0. –Solution First select appropriate values for the matrices in the output equation y = Cz +Bf(t). Since we want…

Model of a Relay-Controlled.Motor The model of an armature-controlled dc motor was discussed in Section 8.6. See Figure 9.4-8. The model is di . L- = -RI – K~w+ v(t) dt dw . 1– = KTI – C(» – Td(t) where the model now includes a torq e Td(t) acting on the motor shaft, due…

Exporting to the MATLAB Workspace We now demonstrate how to export the results of the simulation to the MATLAB work-space, where they can be plotted or analyzed with any of the MATLAB functions . • Solution Modify the Simulink model constructed in Example 9.2-1 as follows. Refer Figure 9.2-3. 1. Delete the arrow connecting the Scope…

Simulink Model of a Rocket-Propelled Sled A rocket-propelled sled on a track is represented in Figure 9.4-2 as a mass m with an applied force f that represents the rocket thrust. The rocket thrust initially is horizontal, but the engine accidentally pivots during firing and rotates with an angular acceleration of 8 = Jr/50 rad/s. Compute the sled’s…

Response with a Dead Zone Create and,run a Simulink simulation of a mass-spring-damper model (9.5-1) using the parameter values m = 1, C = 2, and k = 4. The forcing function is the function 1(1) = sin 1.4e. The system has the dead-zone nonlinearity shownin Figure 9.5-1. • Solution To construct the simulation, do the following…

Model of a Nonlinear Pedulum The pendulum shown in Figure 9.6-1 has the following nonlinear equation of motion, if there is viscous friction in the pivot and if there is an applied moment M(t) about the pivot.  Ie +c6 +mgL sin9 = M(t) where I is the mass moment of inertia about the pivot. Create a Simulink…

You develop Simulink models by constructing a diagram that shows the elements of the problem to be solved. Such diagrams are called simulation diagrams or block diagrams. Consider the equation y = 10f (t). Its solution can be represented symbolically as This solution can be represented graphically by the simulation diagram shown in Figure 9.1-1 a. The arrows represent…