Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 1, Problem 11RQ
Instability is attributable to what pan of the total response
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1 Problem
5
4
State, x(t)
SAWNO-Nw.
●
●
Case 1
O 2
6
Time, sec.
underdamped
critically damped
State, x(t)
• overdamped
54321 ONS TY
Case 2
2 ▷
Time, sec.
8 10
State, x(t)
5
2 + 3
4
Case 3
2 ▷
6
Time, sec.
5432
State, x(t)
& A & No.
2
Match each of the resposes above to one of the following second-order system types:
• undamped
Case 4
▷
Time, sec.
The Johnson & Royce model of a distillation column is driven by the inputs of steam flow and its
flow rate; the output measurement is the temperature change. The state-space model is given by:
-2
x = [¯²¯¯¯7 | x + | | | u; y = [0_1]x
-
the system defining the model of the distillation column is
a. Asymptotically stable
O b. Unstable
Oc. Marginally stable
Od. Indeterminate in relation to its stability
The true option
Chapter 1 Solutions
Control Systems Engineering
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Ch. 1 - Instability is attributable to what pan of the...Ch. 1 - Describe a typical control system analy sis task.Ch. 1 - Describe a typical control system design task.Ch. 1 - Prob. 14RQCh. 1 - Name three approaches to the mathematical modeling...Ch. 1 - Briefly describe each of your answers to Question...Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - An aircraft's attitude varies in roll, pitch, and...Ch. 1 - We can build a control system that will...Ch. 1 - Prob. 5PCh. 1 - During a medical operation an anesthesiologist...Ch. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - The human eye has a biological control system that...Ch. 1 - A Segway ®5 Personal Transporter (PT) (Figure Pl...Ch. 1 - In humans, hormone levels, alertness, and core...Ch. 1 - Tactile feedback is an important component in the...Ch. 1 - Prob. 13PCh. 1 - Moored floating platforms are subject to external...Ch. 1 - In the Case Study of Section 1.4. an antenna...Ch. 1 - Figure Pl.5 shows the topology of a photo-voltaic...Ch. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Contol of HIV/AIDS. As of 2012. the number of...Ch. 1 - Prob. 23PCh. 1 - Parabolic trough collector. A set of parabolic...
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- The characteristic equation for a generic homogeneous second order ODE, can be given in the following form: ap²+bp+c=0 Match each root locus plot (A - F) to the correct set of coefficients (a,b,c) of the polynomial. Root Locus 10 8 6 Root Locus 10 8 6 Root Locus 10 8 6 { -8 -10 -10 -10 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real 10 8 6 2 0 Root Locus 10 8 6 4 2 Real Root Locus 10 8 6 Real Root Locus €Ð+ -8 -10 -5 0 5 10 -10 -5 0 5 10 -10 -5 0 5 10 Real Real Real Polynomials a=x,b=0.5,c=3, x= [0,2] a = 1,b=7.2*x, c = 12.96, x = [0, 1.1] a=0.1,b=0.5,c=x, x= [0,3] a = 1,b=1.4*x,c = x², x = [0, 10] a=x,b=1,c=3, x= [0,0.5] a=1,b=13.2*x,c=43.56, x = [0,1.1] Root Locusarrow_forwardProblem 2. A linearized state space model of a three blade speed wind turbine with a 15 m radius working at 12 m/s wind-speed and generating 220 V is -5 5 1 -10.5229 -1066.67 -3.38028 23.5107 993.804 3.125 -23.5107 Wgm 10 -10 Wgm y = [ 0 0 0 1.223 × 10° 0] Wgm where 3 is the pitch angle of the wind turbine blades, { is the relative angle of the sec- ondary shaft, i is the angular velocity of the secondary shaft, wg is the generator speed, Wgm is the generator measurement speed, u is the pitch angle reference, and y is the active power generated. (a) What is the maximum number of poles that the transfer function could have? How many poles does it have?arrow_forwardcan you please show me how we can determine the freedom degree of systems ? like these in the picure please I want step by step how we determine that !arrow_forward
- answer neatlyarrow_forwardThe Gilles & Retzbach model of a distillation column, the system model includes the dynamics of a boiler, is driven by the inputs of steam flow and the flow rate of the vapour side stream, and the measurements are the temperature changes at two different locations along the column. The state space model is given by: x = 0 00 -30.3 0.00012 -6.02 0 0 0 -3.77 00 0 -2.80 0 0 Is the system?: a. unstable b. C. not unstable x+ 6.15 0 0 0 0 3.04 0 0.052 not asymptotically stable d. asymptotically stable -1 u y = 0 0 0 0 -7.3 0 0 -25.0 Xarrow_forwardIndustrial engg problem.arrow_forward
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