Question: 2. (25%) Consider the following continuous LTI system and controller: x = Ax+Bu [2 X- - 0 1 x u (a) Is the open

2. (25%) Consider the following continuous LTI system and controller: x = Ax+Bu [2 X- - 0 1 x u (a) Is the open loop system stable? (b) Is the pair (A,B) controllable? u=Kx+k,= k k +k (c) If possible, find a vector K that makes the system stable with eigenvalues of -1, -2. (d) If the feedforward gain is constant and nonzero, find the equilibrium point for the system.

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 Mechanical Engineering Questions!

Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%. The house she wants is $250,000, and she will make a $55,000 down payment and borrow the...

Required Information Exercise 13-10 (Algo) Small stock dividend LO P2 [The following Information applies to the questions displayed below.] The stockholders' equity section of TVX Company on February...

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...

multivariable systems Consider the following two-input-two-output LTI system: [2 0,- (u+d) 0 -2*10* where U ER is the control input vector and deR represents the input disturbance vector. (i). Obtain...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

1. (Predator-Prey Model) (70 pts] Let us consider a predator-prey ecological system. In an isolated island, there are only two kinds of animals: tigers (predator) and hares (prey), and tigers have no...

Consider the third-order continuous-time LTI system with A = 208 0 0 0 3 0 -8 -6 x = Ax + Bu y = Cx 0 B = 0, and C= [1 0 0]. Using = 8 0 0 0 6 0 0 4 3 R = 1.5 (a) First design a LQ controller for...

Developments in Technology Light is incident from air on the end face of a multimode optical fibre at angle of incidence as shown below. n n 1 2 The refractive indices of the core and cladding are...

I need someone help me understand and solve this problem. Table A is in photo no. 2 - Choose your parameters from Table A at the end of the assignment. - You should provide valid assumptions for all...

Control Theory allows us to find various useful properties of a system such as stability. Draw a picture of a generic control system, explaining the functions of feedback and the design goals for the...

Revenues are O cash payments that a business has made directly to its owners O the amount of cash a company has left after it has paid its liabilities O earned by selling goods or services to...

Case Study When Jean-Pierre Remy became the CEO of Pages Jaunes in 2009, the company was in trouble. As the market leader in the fast-dying French Yellow Pages industry, the company saw its print...

The managing director of Hermes Telecommunications plc is interested in corporate strategy. Hermes has invested a great deal of money in established a network which competes with that of Telecom UK,...

An experiment was performed to improve the yield of a chemical process. Four factors were selected, and two replicates of a completely randomized experiment were run. The results are shown in the...

For the unity feedback system shown in Figure P8.3, where find the value of so that the system will have a settling time of 2 seconds for large values of K. Sketch the resulting root locus. K(s +a)...

The pipe shown has a 180 vertical bend in it. The diameter D is 1.25 ft , and the pressure at the center of the upper pipe is 15 p sig. If the flow in the bend is 40 cfs, what external force will be...

What role does cost information play in price-taking firms?

Determine the sources of operating and financial leverage.

your father is about to retire and he wants to buy an annuity that will provide him with 7 8 0 0 0 of income a year for 2 5 years with the first payment coming immediatly the going rate on such...

In June of 2012, Maureen's house is vandalized during a long-term power failure after a hurricane hit the city. The president of the United States declares Maureen's city a disaster area as a result...

Ann hires a nanny to watch her two children while she works at a local hospital. She pays the 19-year-old nanny $125 per week for 48 weeks during the current year. a. What is the employer's portion...

Jim is fired from his job as a waiter and decides to take an extended trip to Europe. After touring Europe for 3 months, Jim returns to look for a new job as a waiter. Are his job-hunting expenses...

When drug therapies have not been effective, electroconvulsive therapy (ECT) may be used as treatment, largely for people with severe obsessive-compulsive disorder. severe depression. schizophrenia....

What type of goals will best help you stay focused and motivated to do your finest work in this class?

Effective managers often exhibit only task leadership. only social leadership. both task and social leadership, depending on the situation and the person. task leadership for building teams and...