The Simulink model window contains menu items we have not discussed. However, the oiles we have discussed are the most important ones for getting started. We have introduced just a-few of the blocks available within Simulink. Some of the blocks not discussed deal with discrete-time systems (ones modeled with difference, rather than differential, equations), digital logic systems, and…

Linear or linearized models are useful for predicting the behavior of dynamic systems because powerful analytical techniques are available for such models, especially when the inputs are relatively simple functions such as the impulse, step, ramp, and sine. Often in the design of an engineering system, however, we must eventually deal with nonlinearities in the system and with…

Simulink Solution of y = 10 sin t Use Simulink to solve the following problem for 0 ≤/≤ 13. dy/dt = 10sint   y(O) =0 The exact solution is y(t) = 10(1 -cost) . • Solution To construct the simulation, do the following steps. Refer to Figure 9.2-2. 1. Start Simulink and open a new…

Problems 1. Draw a simulation diagram for the following equation. y=5f(t)-7y 2. Draw a simulation diagram for the following equation. 5y + 3y + 7y = f(t) 3. Draw a simulation diagram for the following equation. 3y+5siny=f(t) Section 9.2 4. Create a Simulink model to plot the solution of the following equation for 05t5~ . 10y…

Dead time, also called transport delay, is a time delay between an action and its effect. It occurs, for example, when a fluid flows through a conduit. If the fluid velocity IJ is constant and the conduit length is L, it takes a time T = L[» for the fluid to move from one end to the other.…

The equation of motion of a mass-spring-damper system is my +cy + ky = f(t) (9.5-1) As with the Control System toolbox, Simulink can accepts a system description in transfer-function form and in state-variable form. (See Section 8.7 for a discussion of these forms.) If the mass-spring system is subjected to a sinusoidal forcing function f(I), it is…

Linear State-Variable Models State-variable models, unlike transfer-function models, can have more than one input and more than one output. Simulink has the State-Space block that represents the linear state-variable model x = Ax +Bu, y = ex +Du. (See Section 8.7 for discussion of this model form.) The vector u represents the inputs, and the vector y represents the…