Question: Obtain a state-space representation for a system whose differential equation is given by :r + 3x + 3x + x = u + u, where

Obtain a state-space representation for a system whose differential equation is given by

·:r· + 3x + 3x + x = u + u, where the output is y = x.

(a) Use this result to determine the system transition matrix ¢(t) and

¢(s).

(b) Use Ackermann's formula to determine the controller K that places the roots of this system at -1,-2 ± 2j.

Problem

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 Data Structures And Algorithms In C++ Questions!

Q:

Obtain a state-space representation for a system whose differential equation is given by \[\dddot{x}+3 \ddot{x}+3 \dot{x}+x=\dot{u}+u \text {, }\] where the output is y = x y = x . (a) Use this...

Q:

2) Consider the following electrical circuit :- # R R2 e C * Derive the differential equations of the circuit. Recall that the current and voltage accross are related by cat = i a a capacitor. dv "dt...

Q:

I need to execute below SQL query Populate the tables with data (using Sequence and Sub Query), ensuring that there are at least 5 people, at least 8 posts, and at least 4 likes. Make sure to use...

Q:

ACME Building Supplies is about to introduce a new customer service program that will affect all of its 200 sales and service employees. Job duties will be changed and the employee reward system will...

Q:

Population genetics You are planning to perform a linkage analysis study of osteoporosis and have two phenotypes of interest: (1) clinical diagnosis (i.e., binary trait), and (2) femoral bone mineral...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

Python question: eight puzzle Part I and Part II are here:...

Q:

Fraction of hosts infected Case Study 2 Hosts, Parasites, and Time-Travel 0.8 0.6 0.4 0.2 0 Past Contemporary Future Time Figure \u00031 Horizontal axis is the time from which the parasite was taken,...

Q:

An implicit representation of a physiological system (i.e. in the form of a differential or\ difference equation) is often easier to derive from first principles than an explicit representation of\...

Q:

An implicit representation of a physiological system (i.e. in the form of a differential or\ difference equation) is often easier to derive from first principles than an explicit representation of\...

Q:

A study is conducted to estimate the demand for housing (y) based on current interest rate X1 and the rate of unemployment. The data in Table 8.6.1 are obtained. (a) Fit the multiple regression model...

Q:

Given that f(x) = x - 2x2, find f(-4), f(0), and f(1).

Q:

develop an opinion on the below analysis Amazon's capital structure displays a strategically balanced mix of debt and equity, which has supported its sustained growth and innovation. According to its...

Q:

The lack of innovation and entrepreneurial focus at American Express (AmEx) may be because of hubris, inertia, and a lack of capability. The firms performance in 2014 was not, by any means, what...

Q:

Consider the Transfer Function model in Figure 2.75 and derive the State-Variable Matrix model. Figure 2.75 Transfer function model. R(s) C(s) 7s+6 13s3+10s2

Q:

Consider the following Transfer Function models and find their corresponding StateVariable Matrix (State-Space) models. (a) T(s)= 1 s+3 25+25+4 (b) T(s) = (c) 2s+3 (s+1)(3s2+5s+12) 5+9 T(s) 1 s3+3s+7...

Q:

Consider the following Transfer Function model. (a) Find its corresponding State-Variable Matrix (State-Space) model. (b) Draw a block diagram representing the Transfer Function model in controllable...

Q:

Cost Utility Analysis 1) As the director of Centers for Medicare and Medicaid Services (CMS), you have to make a decision on coverage of the following oncology agents. Your budget only permits the...

Q:

(Hidden Goodwill) joseph, Marco and David were partners sharing profits in the ratio of 2:2: 1. Marco retires on 1.1.2013. After all necessary adjustments (except goodwill) his capital was worked out...

Q:

ENZ Manufacturing Company manufactures water filters at a selling price per unit of $60. The following information is available regarding costs at 7,000 units and 10,000 units of monthly production...