Consider the following transfer function, representing a system needing high stability margins and an oscillatory response: 1 Gp(s) = (s+2)3 We choose to control the system with a proportional plus derivative control (P+D). a) Which of the following locations would be more adequate for the zero in the controller s=? b) Using the controller defined by the previous step, estimate the slowest settling time response, for varying values of kp, to an input step. The settling time in seconds is

Consider the following transfer function, representing a system needing high stability margins and an oscillatory response: 1 Gp(s) = (s+2)3 We choose to control the system with a proportional plus derivative control (P+D). a) Which of the following locations would be more adequate for the zero in the controller s=? b) Using the controller defined by the previous step, estimate the slowest settling time response, for varying values of kp, to an input step. The settling time in seconds is

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Choose the correct statements. Select one or more: a. Specific energy expressed with SI base units is J/K. Ob. Dynamic model of a measurement element with second order system dynamics can be expressed with block diagram using only scalar multiplication blocks. c. Feedback can make stable system unstable. Od. A Pl-controller is a controller with four parameters (proportional gain, integration time, derivate time and derivate filter). e. Second order system is a system that's step response oscillates when it have (underdamped) complex valued poles. Of. A thermocouple is one example of non-linear type of sensors. Og. Drift and non-linearity are wanted properties for sensors. Oh. Measurement uncertainty is only caused by external sources. Oi. A Bode diagram is a graphical representation of frequency response that consist of two separate plots (one for magnitude and other one for phase). Oj. A filter is one example of functionality that can be part of signal processing element.
Given the error of Figure, plot a graph of a proportional-integral controller output as a function of time. Let KP =4.7, KI = 3.1 3-1, and p(0) = 12 %, given ep(%) = 5.7 %
0.02 (e) The responses in the figure below are for a unit step change in the disturbance with just P-control. One of the responses used a controller gain of Ke = 5 and the other used a controller gain of Ke = 8. Match the controller gains with the responses. Response to a Unit Step Change in Disturbance With P-Control 0.07 Response 1 --- Response 2 0.06 0.05 H 2 0.04H S 0.03 0.01 5 10 15 20 Time (min) (f) The responses in the figure below are for a unit step change in set point with a PI controller. The gain is the same for both responses but one response uses an integral time of ti = 1 min and the other uses an integral time of t = 2 min. Match the integral times for the PI controllers with the responses. r Response to a Unit Step Change in Set Point With Pl-Control 1. Respanse 1 --- Respanse 2 1.4 1.2 0.8 O 0.6- 0.4 0.2H 10 15 20 Time (min) (h) Determine the missing information for the sensor system in the following table. The output for the sensor system is a mA signal. Range Zero…
Consider the control system shown in Figure 2. It is desired to design a PID controller such that the dominant closed-loop poles are located at (s=-1+j 1.732). For the PID controller, choose a =1 and then determine the values of K and b. Sketch the root-locus diagram for the designed system Consider the system shown in Figure below. It is desired to design a PID controller such that the dominant closed-loop poles are located at s = -1 ± j√3. For the PID controller, choose a 1 and then determine the values of K and b. R(s) (s+a)(s+b) K PID controller Ge(s) 32+1 Plant G(s) C(s)
Explain the concept of linear time-invariant (LTI) systems and their applications in control theory and signal processing.
The output from a sensor ranges from a minimum of 10 mV to a maximum of 200 mV as the measurand varies over its range. Devise a mechanism for signal conditioning so that this becomes 0 to 5 V. The source impedance should be high and the output impedance low. Show full derivation details, state all assumptions and give explanations.
Can you help me with this question? Thank you?
2. Consider the feedback control system shown in Figure 2. a) Determine the steady-state error (ess) for a step input in terms of thed gain, K. b) Determine the steady-state error when K = 4. c) Determine the sensitivity Sg. d) How does the gain K effects the steady-state error in this system? Controller Process K(s + 50) (s + 200) 46.24 R(s) Y(s) s2 + 16.7s + 72.9 Sensor 425 s+ 425 Figure 2. Feedback control system
modeling control problem
Excercise 4: PI control for a first-order plant. Suppose you are to design a feedback controller for a first-order plant depicted in the figure below: Controller Plant К kp TS 1 S This configuration is referred to as a proportional-integral (PI) controller. You are to design the controller to satisfy some given time-domain specifications. (a) Find the (closed-loop) transfer function Gyr from r to y (see hw02). (b) Determine the steady-state error for a unit step input (Hint: e r - -y) (c) Find the transfer function Gun from n to u. (d) Determine k, and ki such that the feedback controlled system has damping ratio Ç = 0.5 and fre- quency wo. (Hint: the desired denominator polynomial for a closed-loop transfer function is of the form: d(s) s2+ 2Çwos +w2.) From now on, let K = 1, t = 1. (e) Find the values for kp and ki so that the frequency of the closed-loop system is 1, i.e. wo = 1. This controller will be referred to as controller 1. (f) Also, find the values for k, and k so that the…
The error signal that feeds the controller in a feedback control loop was recorded at various times, shown in Table 1. In open-loop mode, the magnitude of the signal feeding to the actuator was 12.0 mA at the instant when the controller was switched on at time zero.The steady-state process gain for the actuator, main process and sensor, considered as a single process, is 5.0 gpm/mA (a) Consider a P-only controller to be switched on and the proportional gain is0.3 mA/gpm. What is the magnitude of the control signal sent to the actuator at 10 seconds? (b) Consider a PI controller to be switched on; the proportional gain and inte-gral time are 0.3 mA/gpm and 6.0 seconds, respectively. Estimate the magnitude of the control signal sent to the actuator at 25 seconds. (c) What do you think the controlled variable and its corresponding desired set point are?
Suppose there is a system consisting of temperature sensor, ADC, DAC and a Fan. The temperature sensor gives output as voltage value. As the temperature increases more than 18°C it produces the voltage of 8.17 V. That voltage is then put through a 4-bit Successive Approximation ADC as input. After that the output of that ADC is applied to a 4-bit R/2R- ladder DAC to produce enough voltage to turn ON the fan. Take R=”Group#” KΩ. Consider logic “1” as 7 V and logic “0” as 2V. (i) Illustrate the block diagram for the system showing ADC, DAC, Fan and temperature sensor. (ii) Design the circuit diagram with ADC & DAC for the complete system showing necessary parameters value.