(a) Draw a state diagram for the following state equations: [begin{aligned}& frac{d x_{1}(t)}{d t}=-2 x_{1}(t)+3 x_{2}(t) &...

Question:

(a) Draw a state diagram for the following state equations:

\[\begin{aligned}& \frac{d x_{1}(t)}{d t}=-2 x_{1}(t)+3 x_{2}(t) \\& \frac{d x_{2}(t)}{d t}=-5 x_{1}(t)-5 x_{2}(t)+2 r(t)\end{aligned}\]

(b) Find the characteristic equation of the system.

(c) Find the transfer functions $X_{1}(s) / R(s)$ and $X_{2}(s) / R(s)$.

Step by Step Answer:

Related Book For book-img-for-question

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

Question Posted: Mar 14, 2024 10:00 PM

See More Questions

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
The portfolio of stock that comprises the ASX200 index is currently worth $5000. The continuously compounded interest rates on Australian government bonds is 1.5% per annum for each of the next five...
A rubber ball with a radius of 3.2 cm rolls along the horizontal surface of a table with a constant linear speed v. When the ball rolls off the edge of the table, it falls 0.66 m to the floor below....
Prepare budgeted balance sheet and statement of cash flows (Learning Objective 3)} Alliance Printing of Baltimore has applied for a loan. Bank of America has requested a budgeted balance sheet at...
In this exercise, you modify the application from Exercise 2. Use Windows to make a copy of the Workers Solution folder. Rename the copy Workers Solution-Filename. a. Open the Workers Solution.sln...
Examine an analyst report on Ford Motor Company. Who wrote the report? Outline the major contents of that analyst report. Where did you find this analyst report?
Halifax Inc. estimates the following investment and returns for a new water treatment plan: initial investment = $100,000; C 1 = $50,000; C 2 = 3 times C 1 ; C 3 = 2 times C 1 . If the discount rate...
Open-Loop Cruise Control System Design: Consider a car whose mass, $m=1,000 \mathrm{~kg}$ and $b=50 \mathrm{Nsec} / \mathrm{m}$, where the reference (input) speed of interest is \(10 \mathrm{~m}...
The following diagram shows a control system with conditional feedback. The transfer function $G(s)$ denotes the controlled process, and $D(s)$ and $H(s)$ are the controller transfer functions....
The following table shows the gas tax (in cents per gallon) in each of the western U.S. states. a. Find and interpret the median gas tax using a sentence in context. b. Find and interpret the...
Refer to Figure 11.2: Is it more costly to build in Los Angeles or in Washington DC? What is the cost difference? Figure 11.2 Location Factors Costs shown in RSMeans Square Foot Costs are based on...
Suppose the prism in Figure P33.27 is immersed in a liquid in which the speed of light is lower than the speed of light in glass. Describe what happens to the light shown entering at normal...
Each year, the AICPA issues a general audit risk alert document and a number of industry audit risk alerts. If you can obtain access to a current copy of either the general alert or one of the...
The multieffect distillation system shown in Figure 11-4 appears to be able to cut energy use in half; however, the reduction is not this large. Explain why. Figure 11-4 F PL D, D Reflux B PH
Schemes 11-6E and 11-6F accomplish the same task of removing and purifying an intermediate component. a. What factors enter into the decision to use scheme $11-6 \mathrm{~F}$ instead of \(11-6...
1. Read FAS B AS C 250- 10- S99 to respond to the following question. AS CO Recordings has decided to change its inventory system from the LIFO method to the FIFO method for the 2015 fiscal year....
You are the newly appointed tax practitioner to complete Emilys tax return and have downloaded the prefill report for Emilys tax return (hint, you can read what a prefill report is here (Links to an...
A state transport agency has recently launched electronic ticketing machines (ETM) for fare collection and accurate auditing for its bus transport system. When a trip begins, the ETM machine number...
CreativeCo, a Milan-based fashion design company in Italy run by business partners Justin and George, would like to use data analytics to understand their customers better through their database. In...
Develop a list of questions to help you make a risk assessment of a database you are developing that keeps track of all patents applied for by a new electronics firm called ElectricEel, LLC. Write a...
Assume that gasoline costs $ 3 . 2 0 per gallon and you plan to keep either car for six years. How many miles per year would you need to drive to make the decision to buy the hybrid worthwhile,...
On January 1 , 2 0 2 4 , Pine Company owns 4 0 percent ( 1 2 0 , 0 0 0 shares ) of Seacrest, Incorporated, which it purchased several years ago for $ 6 7 8 , 0 0 0 . Since the date of acquisition,...
Typical impact on product costs from implementing ABC include: a. Shifting of manufacturing overhead costs from low volume products to high-volume products. b. Decreases in per unit costs of high...

(a) Draw a state diagram for the following state equations: [begin{aligned}& frac{d x_{1}(t)}{d t}=-2 x_{1}(t)+3 x_{2}(t) &...

Question:

Step by Step Answer:

This question has not been answered yet.

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

Students also viewed these Computer science questions