Question: 9.14 (Pole/zero cancellation) Consider a closed loop system of the form of Fig- ure 9.6, with F=1 and P and C having a pole/zero cancellation.

9.14 (Pole/zero cancellation) Consider a closed loop system of the form of Fig-\ ure 9.6, with

F=1

and

P

and

C

having a pole/zero cancellation. Show that if\ each system is written in state space form, the resulting closed loop system is not\ reachable and not observable.

9.14 (Pole/zero cancellation) Consider a closed loop system of the form of Figure 9.6, with F=1 and P and C having a pole/zero cancellation. Show that if each system is written in state space form, the resulting closed loop system is not reachable and not observable. 9.14 (Pole/zero cancellation) Consider a closed loop system of the form of Figure 9.6, with F=1 and P and C having a pole/zero cancellation. Show that if each system is written in state space form, the resulting closed loop system is not reachable and not observable

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Databases Questions!

Val Nolan started a business called Nolan's Home Appraisals. The trial balance as of October 31, after the first month of operations, is as follows: REQUIRED 1. Analyze the following adjustments and...

In Problem 67, Chapter 7 (Figure P7.31), the block diagram of a cascade scheme for the speed control of an HEV (Preitl, 2007) was represented as a unity feedback system. In that diagram the output of...

In Part b of Problem 54 in Chapter 10, we used a proportional-plus-integral (PI) speed controller that resulted in an overshoot of 20% and a settling time, T s = 3:92 seconds (Preitl, 2007). a. Now...

Consider the electrical circuit shown in Figure 7.19, where the input $\mathbf{u}(\mathbf{t})$ is a current and the output $\mathbf{y}(\mathbf{t})$ is a voltage. (a) Explain why the state...

1. Consider a single-input, single-output third-order system described by 1 0 dx dt b0 1 x + C 00 U y=[e 0 0]a, e>0 Obtain the transfer function from u to y. Examine the controllability and...

Pole - Zero plot Consider the pole - zero plot shown on the left. Find the corresponding \ ( H ( z ) \ ) whose pole - zero plot is consistent with the given information.

Task: For your exam2 airplane, you are to design a pitch-rate tracking CAS to meet certain specifications. The Table below provides specifications for each team on maximum allowable elevator...

If the zero of a feedback compensator is at -3 and a closed-loop system pole is at -3.001, can you say there will be pole-zero cancellation? Why?

The Short-Period Approximation The short-period approximation obtained from (4.2-5) is [VTe Zi 0 -M Za VTe+Zq Zse (4.2-6) + Mse = Ma Ma

Step III: To achieve all of the design objectives, we have to make the system faster . One way to achieve this is to add a zero to the open - loop transfer function. Let the controller be a PI...

The transfer function of a process unit in a resource company is described by the first order plus delay model: G(s) = 0.5/s + 1 * e^-6s Design a PID controller to control this time delay system....

Reconsider Prob. 1-64. Using EES (or other) software, investigate the effect of the manometer fluid density in the range of 800 to 13,000 kg/m3 on the differential fluid height of the manometer. Plot...

Many, if not most, accounting majors start their careers in public accounting. Do you think most of them stay in public accounting? Discuss what you consider to be a typical career track for...

Which of the following is NOT a product covered by FinCEN regulations? A Permanent life insurance B Car insurance C Insurance products with cash value or investment features D Annuity contracts,...

The balance sheet for Stud Clothiers is shown next. Sales for the year were $3,420,000, with 75 percent of sales sold on credit. STUD CLOTHIERS Balance Sheet 20X1 Assets Liabilities and Equity Cash $...