Question: A system has the model Add state variable feedback so that the closed-loop poles are s = 2 2j and = -20. -5 -2

A system has the model 

-5 -2 x (t) = -1 0 -1 0 0 x(t) +

Add state variable feedback so that the closed-loop poles are  s = −2 ± 2j and = -20.

-5 -2 x (t) = -1 0 -1 0 0 x(t) + 1 0 16 0u(t) 0 y(t) = [0 0_10]x(t).

Step by Step Solution

★★★★★

3.44 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To add state variable feedback to the given system in order to achieve the desired closedloop poles ... View full answer

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 Modern Control Systems Questions!

Q:

A system has the model Add state variable feedback so that the closed-loop poles are s = -4, -5, and -6. 3 -1 0

Q:

A system has the loop transfer function where K = 10.5. Show that the system crossover (O dB) frequency is 5 rad/s and that the phase margin is 40°. K(1 s/5) s(1 +s/2)(1 s/10) L(s) = Ge(s)G(s) =

Q:

A system has the third-order characteristic equation s3 + as2 + bs + c = 0, where a, b, and c are constant parameters. Determine the necessary and sufficient conditions for the system to be stable....

Q:

rs) Consider again the industrial process requiring control of a flexible pointer from Assessment Quiz #3. The system has transfer function from torque t to angular position 10 G(s) = $(s) s2+2s+8...

Q:

Consider the system .2 ]+ = 0 0 1 x 1 00 === [ 1 00 0] T. y (a) Design a state-feedback controller to place the closed-loop poles at -2j and -3. (b) Design an observer with the observer error poles...

Q:

Consider the cart-inverted-pendulum system shown in Figure 5.79. Assume that the mass of the cart is \(0.8 \mathrm{~kg}\), the mass of the pendulum is \(0.2 \mathrm{~kg}\), and the length of the...

Q:

Problem 4 (15 points) equations: e-Kom the DC motor system can be described using the following state space 1 0 x = 0 K x+ 0 La where m x= 'm Om = Wm ia output, respectively. == [100] x is the vector...

Q:

Problem 2 Consider the mechanical system shown below, where f(t) is the input force to the system. Z2 21 b 32 k f(t) m1 m2 The governing equations of motion for the system are given by: m1 + b(21-22)...

Q:

It is required to control a process in a unity feedback closed - loop system whose transfer function is given by G ( s ) = 1 s ( s + 1 ) ( s + 1 0 ) The number of closed loop poles are three and it...

Q:

The head box process is used in the manufacture of paper to transform the pulp slurry flow into a jet of 2 cm and then spread it onto a mesh belt [22]. To achieve desirable paper quality, the pulp...

Q:

An investment in capital property that appreciates in value at 10% per year is more valuable than an investment in capital property that provides an annual return, such as interest, of 10%. Explain...

Q:

What are the SI units of mass density and number density? If two different gases have the same number density, do they have the same mass density?

Q:

hy is it difficult to find a potential buyer for the participation the PE owns? The buyer may not be interested in the financing of the company. Due to the high level of liquidity it is very...

Q:

A Christmas tree seller has a cost function C = 6,860 + (p T + t + 7/12)q + 37/27,000,000q 3 , where p T = $11.50 is the wholesale price of each tree and t = $2.00 is the shipping price per tree....

Q:

A large, braced robot arm for welding large structures is shown in Figure DP1.4. Sketch the block diagram of a closed-loop feedback control system for accurately controlling the location of the weld...

Q:

Vehicle traction control, which includes antiskid braking and anti spin acceleration, can enhance vehicle performance and handling. The objective of this control is to maximize tire traction by...

Q:

The Hubble space telescope was repaired and modified in space on several occasions [44, 46, 49]. One challenging problem with controlling the Hubble is damping the jitter that vibrates the spacecraft...

Q:

Question 8 (1 point) A client wants to cash in one bond. All the bonds have similar ratings and coupons. Which one would you advise the customer to sell? Board of education bond (General obligation)...

Q:

Julia saves $28 at the end of each week and deposits the money in an account paying 7% compounded monthly. How much will Julia accumulate in 3 years? How much of the accumulated amount is interest?...

Q:

Please don't use symbols such as commas and the dollar sign ($)when you write your answers ) Use XYZ financial information to answer the questions below: XYZ company Income statement for the year...