Question: Consider the third-order system y = [2 -9 2]x + [0]. Verify that the system is observable and controllable. Then, design a full-state feedback law

Consider the third-order system

y = [2 -9 2]x + [0]µ.
Verify that the system is observable and controllable. Then, design a full-state feedback law and an observer by placing the closed-loop system poles at.$1,2 = -1 ± j.s3 = -3 and the observer poles at $1,2 = -12 ± j2,s3 = -30.

004 013 10-3

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The controllability matrix is and the observability matrix is Computing ... 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

Document Format (1 attachment)

835-C-S-S-A-D (2163).docx

120 KBs Word File

Students Have Also Explored These Related Systems Analysis And Design Questions!

Consider the third-order system y = [2 8 10]x + [l]µ. Sketch a block diagram model of the system. 0 -9 -3 I L4

Consider the third-order system y = [2 -4 0]x + [0]u. Verify that the system is observable. If so, determine the observer gain matrix required to place the observer poles at s1,2 = - 1 j and s3 =...

Consider the third-order system y = [0 1 0]x + [0]. lt L- 4.3-1.7 -6.7 L 0.35

Consider the system represented in state variable form Verify that the system is observable and controllable. If so, design a full-state feedback law and an observer by placing the closed-loop system...

Consider the following given source codes, made up of four parts. The first part is the full-order observer design. The next part is the state feedback controller design. The third one is the...

Q4. Homework 6 Q.4. Consider the linear system as given below: 0 -3 i =-+1 u y = [-2 1]x (a) Determine if the system is observable? (b) Revisit Q.4. of HW6 to recall the control system pole placement...

Problem 4 (23 points). Motorized cart. Consider a pendulum of mass m and length 1 on a motorized cart of mass M, as shown in Figure Suppose that an external force u is being applied horizontally on...

Read the article: Bolton, P., Brunnermeier, M. K., & Veldkamp, L. (2013). Leadership, Coordination, and Corporate Culture. Review Of Economic Studies, 80(2), 512-537. Based on the article findings,...

SISO system, find if the system is controllable (for control experts) Problem 1: The following linear time invariant 8180 system is to be controlled using state feedback, comparing the performance...

On the folly of rewarding A, while hoping for B Steven Kerr \f\f\f180 ) Academy of Management Journal December be successful in highly predictable areas within an organization, but are likely to...

2. Express the following signals using a digital frequency |F|

Determine the 2011 filing status in each of the following situations: a. Michaela and Harrison decide to separate on October 12, 2011. Before filing their 2012 tax return on February 18, 2012,...

3. Explain the difference between defl ation and disinfl ation.

y 1 sx 1 adsx 1 bd dx Evaluate the integral.

Without looking at your phone or tablet, design three sample pages for the following apps. You do not need to use a mock-up app for this assignment. Just draw them on paper. (Note that each group may...

Explore the Joomla! website at www.joomla.org. How could this open source application be helpful in implementing your designs from Problem 4 above? Summarize your findings in a paragraph. Use the Web...

Design the COMPUTER PROBLEM REPORT. This report shows all computers that have a large number of repairs or a large repair cost. Refer to the repository description for the data flow for the elements...

Self-Help Income. In which of the following situations would the taxpayer realize taxable income? a. A mechanic performs work on his own automobile. The mechanic would have charged a customer $400...

The process of bond valuation is based on the fundamental concept that the current price of a security can be determined by calculating the present value of the cash flows that the security will...

You have just taken out a $17,000 car loan with a 8% APR, compounded monthly. The loan is for five years. When you make your first payment in one month, how much of the payment will go toward the...