Question: Q.3: Find the state feedback gain 'K' for a system with the following state equation [0] 0 0 Xk+1 = 1 0 0 1 -3

Q.3: Find the state feedback gain 'K' for a system with

Q.3: Find the state feedback gain 'K' for a system with the following state equation [0] 0 0 Xk+1 = 1 0 0 1 -3 -2 Ikt - (3) ) such that the desired poles of the closed-loop system Ad - BeK are placed at [0.6.0.7,0.8)

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 Chemical Engineering Questions!

Consider a scalar system (i.e. x(k) E R) described by x(k+ 1) = 2x(k) + u(k)+w(k), y(k) = x(k) + v (k) where x(0) is a Gaussian random variable with its mean and variance given by E[x (0)] = 0, E[x...

Given *- *** y = [1 1]x find the state feedback gain k so that the state feedback system has 1 and -2 as its eigenvalues. Compute k directly without using any equivalence transformation.

In Matlab using the computed gains, plot zero-input-response plots, using the lsim command. You need only include one plot: that for x[k] containing all three states on the single plot. Do this for...

Reconsider the vibration control problem of the SDOF oscillator: x + 2 nx + n 2 x ( t ) = n 2 u ( t ) ( 1 ) and the PID control u ( t ) = kP ( r ( t ) x ( t ) ) + kD ( x ) + kI Z t 0 ( r ( ) x ( ) )...

2. Consider the following continuous time second-order linear time invariant system 2:C8] = 1 (:0)+()uce dx (t) y(t) = x(6) Assume that control law is a state variable feedback u(t) = -Kx(t) that...

3. Consider the discrete-time state-space equation x (k+1) = 1 1 1x (k) + u (k) 0 1 y(k) = [200] (k) Find the state feedback gain so that the resulting feedback system has all eigenvalues at z = 0....

1 Vectored Thrust Aircraft The purpose of this question is to show that the LQG controller (LQR combined with opti- mal observer/estimator) guarantees attaining stable systems. This is a remarkable...

Consider the single input single output linear system x _ = Ax + bu where A = 0 @ 2 1 0 1 1 0 1 0 1 1 A; b = 0 @ 1 1 0 1 A; c = ( 0 ; 0 ; 1 ) ( a ) Find the characteristic polynomial of A . ( b )...

A refrigerator operating on the reversed Carnot cycle has a measured work input of 200 kw and heat rejection of 2000 kw to a heat reservoir at 27C. Determine the cooling load supplied to the...

You are a member of the Professional Conduct Committee of the Law Society of NSW. A client has complained that a Solicitor has, without the client's permission, divulged some very important...

Explain the role and value of post audits.

Data cleaning and normalization is a part of the phase of the data analytics life cycle. O Model Planning O Model building O Data preparation O Discovery

Do you expect percentage of returned sales to vary much across states? Why?

Write your second question and provide an answer based on your analysis.

Write your first question and provide an answer based on your analysis.