A feedback system has a plant transfer function We want the velocity error constant Kv to be 35 and the percent overshoot to a step to be P O 4 so that 1 2 The settling time (with a 2 criterion) desired is T s 0 11 s Design an appropriate state variable feedback system for r (t) k 1 x 1 (t) k 2 x 2 (t) Y(s) R(s) G(s) K s(s 70)

Question: A feedback system has a plant transfer function We want the velocity error constant Kv to be 35 and the percent overshoot to a step

A feedback system has a plant transfer function Y(s) R(s) = G(s) = K s(s+ 70)

We want the velocity error constant Kv to be 35 and the percent overshoot to a step to be P.O. = 4% so that ζ = 1/√2. The settling time (with a 2% criterion) desired is T_s= 0.11 s. Design an appropriate state variable feedback system for r (t) = -k₁x₁(t) - k₂x₂(t).

Y(s) R(s) = G(s) = K s(s+ 70)

Step by Step Solution

★★★★★

3.35 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To meet the K v 35 specification we need K 2450 A state variable representation ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Modern Control Systems Questions!

A feedback system has a plant transfer function 10 = G(s) = s(..70) R(S)

A unity feedback control system has a plant transfer function We desire to attain a steady-state error to a ramp r(f) = At of less than 0.05/1 and a phase margin of 30°. We desire to have a...

A unity feedback control system has the plant transfer function Design a PID controller of the form so that the closed-loop system has a settling time less than 1 second to a unit step input. G(s)...

A linear model of the -subsystem of a grid-connected converter (Mahmood, 2012) with a Y-Y transformer was presented as the plant in Problem 69 in Chapter 8. You were asked to find the transfer...

A mobile robot using a vision system as the measurement device is shown in Figure DP7.7(a) [36]. The control system is shown in Figure DP7.7(b) where G(s) = 1 / (s + 1)(0.5s + 1). and Gc(.f) is...

A feedback system has a plant tmnsfer- function G s _ Y(s) _ K ( ) - R(s) - s(s + 70) It is desir-ed that the velocity er-mT constant, Kv be 35 and the 011ershoot to a step be approximately 4% so...

% Demonstration of Cruise Control % Using PI (Proportional and Integral) Controller % % Task: Complete and run the script. % The places you need to add code start with a capitized word. clear all;...

PLEASE EXPLAIN HOW CAN WE APPROACH TO Kp_error TO 22.85 IN THIS PROBLEM. ABOVESHEET IS THE ANSWERS JUST WANT TO SLOVE FOR Kp_error wn 2 1 2 3 4 A B D E F G H Exercise Kp ork zeta wd TS Kp_error...

Ex. 834. Use the plant transfer function in Ex830 and unity feedback. Replace the controller with a PID controller (K*(s+z1)*(s+0.5)/s) that will have CL poles that were dominant in Ex832. The other...

6) A continuous time plant with transfer function is to be included in the control system of Figure 1, with D(z) = K and T = 0.1s: system a) Find the open loop discrete transfer function of the b)...

Winnie Johnston is a teacher who files her taxes as a Head of Household and takes care of her mother and her grandmother, both of whom live with her. Her W-2 form is shown and she also has $65 in...

Select a marginalized group of people. Present a review of the stereotypes and stigma that are associated with this group of people that existed throughout history and currently. The Group To Be...

E19.13 (LO 2, 4, 5) (Worksheet for E19.12) Using the information in E19.12 about Erickson plcs defined benefit pension plan, prepare a 2025 pension worksheet with supplementary schedules of...

Provide two or three examples of each scale of measurement

Describe the process for programming an LPC1768 directly in ISP mode, using the mbed as a communications bridge.

Describe the mbed-enabled program and how it can be of benefit to product manufacturers.

What are the issues associated with incorporating the mbed LPC1768 in a commercial product hardware design?

Your cousin Joe at age 25 wants to plan for his retirement and estimates to retire at the age of 65. He already has $5000 in his savings that he received as a gift from his mother. He plans to save...

A newborn child receives a $9,000 gift toward a college education from her grandparents. How much will the $9,000 be worth in 21 years if it is invested at 5.4% compounded quarterly? n = i% = PV =...

A company manufactures a variety of household electronic equipment. A year ago, they conducted a marketing study to poll consumers opinion about new home security systems. The study cost them...