Explanation Given Information: Differential equation of the given system, d 2 x d t 2 + 4 d x d t + 5 x = 1 The initial conditions, x ( 0 ) = 1 x ′ ( 0 ) = − 1 Calculation: d 2 x d t 2 + 4 d x d t + 5 x = 1 Taking the Laplace transform of both sides, assuming zero initial conditions, s 2 X ( s ) + 4 s X ( s ) + 5 X ( s ) = U ( s ) ( s 2 + 4 s + 5 ) X ( s ) = U ( s ) The transfer function of the system, X ( s ) U ( s ) = 1 s 2 + 4 s + 5 Solve the differential equation by considering this initial condition, x ( 0 ) = 1 x ′ ( 0 ) = −

7th Edition

ISBN: 9781118170519

Author: Norman S. Nise

Publisher: WILEY

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Chapter 2, Problem 12P

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The block diagram of the given system

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Chapter 2, Problem 11P

Chapter 2, Problem 13P

Chapter 2 Solutions

Control Systems Engineering

Ch. 2 - Prob. 1RQ Ch. 2 - Prob. 2RQ Ch. 2 - Prob. 3RQ Ch. 2 - Define the transfer function.Ch. 2 - Prob. 5RQ Ch. 2 - What do we call the mechanical equations written...Ch. 2 - If we understand the form the mechanical equations...Ch. 2 - Why do transfer functions for mechanical networks...Ch. 2 - What function do gears perform?Ch. 2 - What are the component parts of the mechanical...

Ch. 2 - The motor’s transfer function relates armature...Ch. 2 - Summarize the steps taken to linearize a nonlinear...Ch. 2 - Prob. 1P Ch. 2 - Prob. 2P Ch. 2 - Prob. 3P Ch. 2 - Prob. 4P Ch. 2 - Prob. 5P Ch. 2 - Prob. 6P Ch. 2 - Prob. 7P Ch. 2 - A system is described by the following...Ch. 2 - For each of the following transfer functions,...Ch. 2 - Write the differential equation for the system...Ch. 2 - Write the differential equation that is...Ch. 2 - Prob. 12P Ch. 2 - Use MATLAB to generate the MATLAB ML transfer...Ch. 2 - Repeat Problem 13 for the MATLAB following...Ch. 2 - Use MATLAB to generate the partial fraction...Ch. 2 - Use MATLAB and the Symbolic Math Symbolic Math...Ch. 2 - Prob. 17P Ch. 2 - Prob. 18P Ch. 2 - Prob. 19P Ch. 2 - Repeat Problem 19 using nodal equations. [Section:...Ch. 2 - Prob. 22P Ch. 2 - Prob. 23P Ch. 2 - Prob. 24P Ch. 2 - Prob. 25P Ch. 2 - Prob. 26P Ch. 2 - Prob. 27P Ch. 2 - Prob. 28P Ch. 2 - Prob. 29P Ch. 2 - Write, but do not solve, the equations of motion...Ch. 2 - For the unexcited (no external force applied)...Ch. 2 - For each of the rotational mechanical systems...Ch. 2 - For the rotational mechanical system shown in...Ch. 2 - Find the transfer function, 1sTs , for the system...Ch. 2 - For the rotational mechanical system with gears...Ch. 2 - For the rotational system shown in Figure P2.21,...Ch. 2 - Prob. 37P Ch. 2 - Find the transfer function, Gs=4s/Ts , for the...Ch. 2 - For the rotational system shown in Figure P2.24,...Ch. 2 - Prob. 40P Ch. 2 - Given the rotational system shown in Figure P226,...Ch. 2 - In the system shown in Figure P2.27, the inertia,...Ch. 2 - Prob. 43P Ch. 2 - Given the combined translational and rotational...Ch. 2 - Prob. 45P Ch. 2 - The motor whose torque-speed characteristics are...Ch. 2 - A dc motor develops 55 N-m of torque at a speed of...Ch. 2 - 48. In this chapter, we derived the transfer...Ch. 2 - Prob. 49P Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - Find the series and parallel analogs for the...Ch. 2 - A system’s output, c, is related to the system’s...Ch. 2 - Prob. 53P Ch. 2 - Consider the differential equation...Ch. 2 - 55. Many systems are piecewise linear. That is,...Ch. 2 - For the translational mechanical system with a...Ch. 2 - 57. Enzymes are large proteins that biological...Ch. 2 - Prob. 58P Ch. 2 - Figure P2.36 shows a crane hoisting a load....Ch. 2 - 60. In 1978, Malthus developed a model for human...Ch. 2 - 61. In order to design an underwater vehicle that...Ch. 2 - 62. The Gompertz growth model is commonly used to...Ch. 2 - A muscle hanging from a beam is shown in Figure...Ch. 2 - A three-phase ac/dc converter supplies dc to a...Ch. 2 - Prob. 65P

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