2. 16 points] Now consider a different system, +10x=u, where u is a control input that...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
2. 16 points] Now consider a different system, +10x=u, where u is a "control input" that we can choose to make a behave the way we want. (a) What u would you choose so that r eventually ends up at 10? (That is, limo r(t) = 10). (b) Will it tend towards this limiting value of 10 for every initial condition r(0)? Why? Would you call this stable or unstable behaviour? (c) Give a rough sketch of the solution with your choice of u (held constant) and initial condition 0. Show any working you need. 1(0) = 2. 16 points] Now consider a different system, +10x=u, where u is a "control input" that we can choose to make a behave the way we want. (a) What u would you choose so that r eventually ends up at 10? (That is, limo r(t) = 10). (b) Will it tend towards this limiting value of 10 for every initial condition r(0)? Why? Would you call this stable or unstable behaviour? (c) Give a rough sketch of the solution with your choice of u (held constant) and initial condition 0. Show any working you need. 1(0) =
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
a. Verify that the six matrices form a group under matrix multiplication. b. What group discussed in this section is isomorphic to this group of six matrices? 1 0 0 0 1 0 00 1 3 0 1 0 0 0 1 1 0 0 0 0...
-
Determinants are used to find the area of a triangle whose vertices are given by three points in a rectangular coordinate system. The area of a triangle with vertices (x 1, y 1 ), (x 2 , y 2 ), and...
-
Discuss why these are considered the most important business objective. Site examples getting and staying profitable excellent customer service mission-driven core values maintaining healthy cash...
-
The CFO of the Jordan Microscope Corporation intentionally misclassified a downstream transportation expense in the amount of $575,000 as a product cost in an accounting period when the company made...
-
A 2.50-mole quantity of NOCl was initially in a 1.50-L reaction chamber at 400°C. After equilibrium was established, it was found that 28.0 percent of the NOCl had dissociated: Calculate the...
-
A sample of argon gas has a volume of \(0.43 \mathrm{ml}\) at 297 K. At what temperature will it have a volume of \(0.57 \mathrm{ml}\) ? (a) \(394 \mathrm{~K}\) (b) \(294 \mathrm{~K}\) (c) \(494...
-
Assume the U.S. dollar has been steadily weakening with respect to the euro. Your client, a U.S. company with a subsidiary in Germany, wants to know the effect of the weakening dollar on its...
-
(Comprehensive Problem: Issuance, Classification, Reporting) Presented below are four independent situations. (a) On March 1, 2011, Wilke Co. issued at 103 plus accrued interest $4,000,000, 9% bonds....
-
The trial balance before adjustment of Skysong, Inc., reporting under ASPE, includes the following balances: Debit Credit Accounts receivable $105,900 Allowance for doubtful accounts. 2,000 Sales...
-
Several studies have reported lower participation in the science, technology, engineering, and mathematics (STEM) careers by female and minority students. A high school counselor surveys 240...
-
Erin decides sell candles to raise money for her trip to summer camp. At the store, Erin buys wicks for 8 cents each and wax for $4.00 per pound. If she buys W wicks and X pounds of wax, what is the...
-
Citing relevant examples, suggests solutions to the challenges of knowledge management. (20 marks) Examine the contributions of Tom Peters and Robert Waterman's culture excellence approach to...
-
Please watch this video and help me summarize it. Very brief summary/interpretation of the problem presented in the lecture "Applicability of international law to cyberspace". The multifaceted...
-
Damerly Company (a Utah employer) wants to give a holiday bonus check of $375 to each employee. Since it wants the check amount to be $375, it will need to gross-up the amount of the bonus. Calculate...
-
Determine the flow rate and velocity of the sewage pipe with diameter of 800mm and has a slope of 0.0017 and its running 60% full. Assume the roughness coefficient is 0.015. D = 800mm S = 0.0017 Full...
-
Having identified the IHRM challenges presented in the case study, indicate what components you would have considered for inclusion in a training programme for Electrolux and Zanuss prior to, during...
-
You are a staff assistant working for a public accounting firm and have been assigned to audit inventory for a client, Joy Jewellers ( JJ ) . The fiscal year end of the company is December 3 1 . JJ...
-
KD Insurance Company specializes in term life insurance contracts. Cash collection experience shows that 20 percent of billed premiums are collected in the month before they are due, 60 percent are...
-
One of the major reasons for engineoil degradation is the oxidation of the motor oil. To retard the degradation process, most oils contain an antioxidant. Without an inhibitor to oxidation present,...
-
Review Figure 12-13. Use this figure to write a few sentences (or at least draw an analogy) explaining why, when you strike the head of a safety match slowly on its pumice with little pressure, it...
-
The following E(t) curve was obtained from a tracer test on a reactor. E(t)=0.25t04 t in minutes, and E(t) in min 1 . The conversion predicted by the tanks-in-series model for the isothermal...
-
In the event that a series converges uniformly, one can consider the derivative of the series to arrive at the summation of other infinite series. a. Differentiate the series representation for...
-
Use dimensional analysis to derive a possible expression for the drag force \(F_{D}\) on a soccer ball of diameter \(D\) moving at speed \(v\) through air of density \(ho\) and viscosity \(\mu\)....
-
Evaluate the integral \(\int_{0}^{\pi / 6} \sin ^{2} x d x\) by doing the following: a. Compute the integral exactly. b. Integrate the first three terms of the Maclaurin series expansion of the...
Study smarter with the SolutionInn App