Consider the mechanical system in Figure 1. Assume the system is in equilibrium. Let the states be defined as: • z(t) = Fr, (t) - The force on spring k. • r2(t) = in (t) - The velocity of Mq. • zs(t) = Fk, (t) - The force on spring ką. • z(t) = 2(t): The velocity of M,. Ma Figure 1: Mechanical system The forces fi and f2 are the inputs to the system and the velocities ý, and ý2, the outputs. Determine the following state space model for the system in terms of the masses, damping coefficients, spring constants and forces shown in Figure 1: x(t) = Ax(t) +Bu(t) vít) - Cx(t) Du(t)
Consider the mechanical system in Figure 1. Assume the system is in equilibrium. Let the states be defined as: • z(t) = Fr, (t) - The force on spring k. • r2(t) = in (t) - The velocity of Mq. • zs(t) = Fk, (t) - The force on spring ką. • z(t) = 2(t): The velocity of M,. Ma Figure 1: Mechanical system The forces fi and f2 are the inputs to the system and the velocities ý, and ý2, the outputs. Determine the following state space model for the system in terms of the masses, damping coefficients, spring constants and forces shown in Figure 1: x(t) = Ax(t) +Bu(t) vít) - Cx(t) Du(t)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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