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systems analysis and design using matlab
Questions and Answers of
Systems Analysis And Design Using MATLAB
4.11 Consider the following transfer functionObtain the state-space representation of this system in controllable and observable canonical forms. H(z) = 3z+2z+1 z +0.7z+0.12
4.12 Consider the system defined by(a) Transform the system equations into the controllable canonical form.(b) Transform the system equations into the observable canonical form. [x1(t)] y() = [23]
4.13 Consider the system defined by(a) Is the system completely state controllable?(b) Is the system completely state observable?(c) Is the system completely output controllable? x(k+1)] 0 1 0x1(k) 0
4.14 Is the following system completely state controllable and observable? [x(k+1)] 0 0 x1(k) x2(k+1) 0 0 1 x2(k) + 0 u(k) [x3(k+1)] x3(k) -3-1-2 [x1(k) y(k) = [2-3 -2] x2(k) Lx3(k)
4.15 For the system(b) Is the system controllable? Is it observable? If not, find the uncontrollable= unobservable modes. 1 x(k + 1) = [-0.12 0.75] x(k) + [2] " -0.125 0.75 u(k) and
4.16 Consider the system given by(a) Find the transfer function Y(z)U(z).(b) Find the necessary and sufficient condition for controllability of this system. 1 0 0 b11 b12 b13 x(k+1)=01 0 x(k)+b21 b22
4.17 Show that the system given by x(k+1)=Ax(k) + Bu(k) y(k) = Cx(k) where xRN, uRM, and y ERP is completely output controllable if and only if the controllability matrix P given as P = [CB CAB. CA2B
Consider the dynamic system given byDesign a state feedback to place the closed-loop poles at x(k+1) = [ - 0 -0.72 1.7 1.7]x(k) + [1] u(k)
Consider the dynamic system given byDesign a state feedback controller to place the closed-loop poles at |x(k + 1) = [ - = [-0.12 -0.12 + -
Consider the dynamic system given byDesign a state feedback to place the closed-loop poles at x(k+1)= - [- 0 -0.12 ] x(k) + [i] u(k)
Consider the MIMO dynamic system given byDesign a state feedback to place the closed-loop poles at x(k + 1) = [ - 0 [u(k)' - 0 +12+ -0.12
Consider the control system given bywith initial state x(0) = 1.Find the optimal control feedback law to minimize the performance index x(k+1) = 0.5x(k) + u(k)
Consider the control system given bywith initial state x(0) =1.Find the optimal control feedback law to minimize the performance index x(k+1)=0.5x(k) + u(k)
Consider the dynamic system given byDesign a full-state observer for the system. Place the poles of the observer at x(k+1)= [-0.7 1) = [ -0.72 1.7] x(k) + [1] u(k) y(k) [10]x(k) =
Consider the dynamic system given byDesign a reduced-order observer to estimate the second state (x2) of the system.Place the pole of the reduced-order observer at x(k+1)= 1) = [-0.72 1.7 ] x(k) +
Consider the dynamic system given byDesign a combined state feedback with a state observer for the system. Place the eigenvalues of the closed-loop state feedback system at l1 = 0:3 and l2 =0:2.Place
5.1 A dynamic system has a plant:a. Define the state variables as x1(k) =y(k), x2(k) =y(k +1), and x3(k) =y(k + 2). Derive state equation for this system.b. By use of state feedback control u =-Kx,
5.2 Consider the system defined bya. Show that this system cannot be stabilized by the state feedback control u(k) ¼ Kx(k) for any choice of matrix K.b. Is it controllable? If not, determine the
5.3 Prove matrix inversion lemma which states that for any A, C, and D matrices of appropriate dimensions, we have (A + CD)=A-AC(I+DAC)DA-
5.4 Consider the system defined byFind the state feedback control law u(k) ¼ K(k)x(k) minimizing the performance index x(k+1)=0.9x(k) + u(k)
5.5 Consider the system defined byFind the state feedback control law u(k) ¼ Kx(k) minimizing the performance index [x1(k+1) [x2(k+1) [x1+B] = [ -0.6 15 ] [] + [ ! ]u(k) 0.5 x2(k)
5.6 Consider the system defined byDesign a full-order state observer. The desired eigenvalues for the observer matrix are [x(k+ x2(k+1) 0 1 0.4 0.5 0.5x2(k) y(k) = x1(k) u(k)
5.7 Consider the system defined bywhereDesign a linear state feedback for this system. Choose the desired closed-loop poles for deadbeat control. x(k+1) = Ax(k) + Bu(k)
5.8 Consider the system defined bywhereDesign a full-order state observer. The desired eigenvalues for the observer matrix are x(k+1)=Ax(k) + Bu(k) y(k) =Cx(k)
5.9 Consider the system defined byDesign a reduced-order state observer. The desired eigenvalues for the reduced-order observer matrix are where x(k+1) = Ax(k) + Bu(k) y(k) = Cx(k) 0 1 0 A 0 0 1 B =
5.10 Consider the systemwhereDesign a reduced-order state observer such that the response to the observer error is deadbeat, which is the desired eigenvalue of the reduced-order observer, which is l
=+1. In a UML diagram, how are objects distinguished from classes? Choose only one option.(a) Object labels are shown in italics.(b) Class labels have a box drawn around them.(c) Object labels are
=+2. In Figure 2.23, what do Diagrams 1 and 2 illustrate? Choose only one option.(a) 1: An aggregation, 2: A composition.(b) 1: An attribute, 2: An aggregation.(c) 1: An aggregation, 2: An
=+3. What is meant by ‘object identity’? Choose only one option.(a) Two objects are identical if their attributes have the same value.(b) Every object’s class has a unique serial number.(c) All
=+4. Which of the following terms best describes an object that is made up of other objects?Choose only one option.(a) Generalization.(b) Inheritance.(c) Association.(d) Aggregation.(e)
=+5. What is ‘encapsulation’? Choose only one option.(a) Depicting objects using doughnut diagrams.(b) Ensuring that the data inside an object can only be accessed via operations.(c) Sealing the
=+1. Why is the ability to redefine a method important in object-oriented programming?Choose all options that apply.(a) Because it allows us to add extra work to a method.
=+(b) Because it allows us to introduce abstract methods that are redefined as concrete methods.(c) Because it allows us to provide a more accurate or faster definition in a subclass.
=+(d) Because it allows us to disable a method in a subclass.
=+(e) Because it allows us to change the meaning of a method.
=+2. Which of the following statements about multiple inheritance are true? Choose all options that apply.(a) It offers more modeling choices.
=+(b) It makes it more difficult to write compilers and (fast) runtime systems.(c) It simplifies inheritance hierarchies.(d) It solves the problem of repeated inheritance.
=+3. Which of the following statements are true? Choose all options that apply.(a) Most superclasses are abstract.(b) Inheritance is preferable to composition.(c) Most superclasses are concrete.(d)
=+4. In UML diagrams, how are abstract classes distinguished from concrete classes? Choose only one option.(a) Concrete classes are shown as boxes with dashed outlines.(b) Labels on abstract classes
=+(c) Labels on concrete classes are shown in italics.(d) Abstract classes are shown as boxes with dashed outlines.
=+5. What is an ‘abstract’ class? Choose only one option.(a) An object.(b) A class with no methods.(c) A class with no concrete subclasses.
=+(d) A class with at least one undefined message.(e) An interface.
=+6. Which of the following terms best describes the case where a Stack class is implemented using an internal instance of List? Choose only one option.(a) Association.(b) Specialization.(c)
=+7. With reference to Figure 3.14, what is the difference between the two diagrams? Choose only one option.(a) In Diagram 1, color is public but in Diagram 2 color is private.(b) Diagram 2 indicates
=+1. With reference to Figure 4.8, which methods correspond to the following message sends (in the order given)? Choose only one option. tr.height(); sh.perimeter(); sq.height(); sq.perimeter();
=+Shape Rectangle Triangle Square 2: perimeter()1: perimeter()4: perimeter() 5: perimeter()
=+3: height()Shape sh;Triangle tr = new Triangle();Square sq = new Square();sh = tr;Figure 4.8: For use with Review Question 1
=+2. With reference to Figure 4.8, which of the following message sends would be allowed by a compiler? Choose all options that apply.(a) sh.perimeter();(b) tr.perimeter();(c) sh.height();(d)
=+3. With reference to Figure 4.8, which of the following assignments would be allowed by a compiler? Choose all options that apply.(a) sq = sh;(b) sh = tr;(c) tr = sq;(d) tr = sh;(e) sh = sq;(f) sq
=+4. What can an object-oriented type system be used for? Choose only one option.(a) Improving runtime performance.(b) Preventing misuse of a class.(c) Avoiding spelling mistakes.(d) Making sure that
=+5. What does the term ‘polymorphism’ refer to? Choose all options that apply.(a) The ability of a variable to point at different classes of object at different times.
=+(b) The fact that a message with the same signature can invoke different methods at different times.(c) All object-oriented programming languages are different.
=+(d) All object-oriented methodologies use a different notation.
=+6. What is a generic class? Choose only one option.(a) A class with no declared copyright.(b) A class that represents all objects.(c) A class that has other classes as parameters.
=+1. Which of the following UML artifacts are used to show the distribution of processes, resources and objects in a system? Choose only one option.(a) Interaction diagrams.(b) Sequence diagrams.(c)
=+2. What are the traditional steps in software production? Choose all options that apply.(a) Maintenance.(b) Design.(c) Iteration.(d) Incrementation.(e) Deployment.(f) Analysis.(g) Requirements
=+(h) Testing. (i) Reuse. (j) Implementation. (k) Specification.
=+1. With reference to Figure 6.12, what are X1, X2 and X3? Choose only one option.(a) Roles.(b) Prima donnas.(c) Actors.(d) Sticks.UC1 UC3 UC4 UC5 UC2X1 X2 X3 Figure 6.12: For use with Review
=+2. With reference to Figure 6.12, which of the following statements are true? Choose all options that apply.(a) X3 can interact with the system using UC4.(b) X1 can interact with the system using
=+3. With reference to the PizzaBase case study, which of the following options are likely business use cases? Choose all options that apply.(a) Customer pays for meal.(b) Restaurant prepares
=+4. Which of the following UML artifacts is used to show the steps involved in getting value from a system? Choose only one option.(a) User interface sketches.(b) Glossaries.(c) State machine
=+5. With reference to Figure 6.12, which of the following statements are true? Choose all options that apply.(a) UC5 is a compulsory part of UC4.(b) UC4 is an optional part of UC5.(c) UC1 is
=+6. With reference to Figure 6.13, what kind of objects are A, B and C? Choose only one option.(a) A is an entity, B is a controller, C is a boundary.(b) A is a boundary, B is an entity, C is a
=+1. With reference to Figure 7.26, what do you think is the most likely implementation of
=+the relationship between Car and Engine? Choose only one option.(a) A field, of type Car, in Engine.(b) A class called CarEngine with one field of type Car and another field of type Engine.(c) A
=+2. With reference to Figure 7.26, which of the following statements are true? Choose all options that apply.(a) A car always has the same body.(b) Some cars have spare wheels.(c) A car has one
=+(d) All cars have either four or five wheels.(e) A car must have at least one driver.(f) Passengers cannot be drivers.
=+3. With reference to the PizzaBase case study, which of the following is most likely list of attributes at the analysis stage? Choose only one option.(a) cola, base, price, size, lemonade,
=+4. With reference to Figure 7.27, which diagram is the best model of Pizzas in the PizzaBase restaurant? Choose only one option.Order Menu Pizza Customer Pizza specifies lists Order Menu Choice
=+Figure 7.27: For use with Review Question 4(a) Diagram 1.(b) Diagram 2.(c) Diagram 3.
=+5. With reference to the PizzaBase case study, which of the following is the most likely list of analysis classes? Choose only one option.(a) Payment, Order, Drink, Topping, Pizza, Order,
=+(b) Customer, Table, Pizza, Topping, Drink, Restaurant, Order.(c) PizzaBase, Cola, Restaurant, Lemonade, Customer, Do-it-Yourself, Prefab, Table, Order.(d) Restaurant, Pizza, Topping, Display,
=+6. In UML, which diagrams are used to show messages sent between objects? Choose all options that apply.(a) Activity diagrams.(b) Object diagrams.(c) Communication diagrams.(d) State machine
=+7. With reference to Figure 7.28, which kind of icon would you use to represent a business object containing useful information? Choose only one option.(a) A.(b) B.(c) C.C A B Figure 7.28: For use
=+8. What is an association class? Choose only one option.(a) It describes the various kinds of relationship that can exist between classes.
=+(b) It adds attributes and/or behavior to an association between two other classes.(c) It associates an object with the class of which it is an instance.
=+9. With reference to Figure 7.28, which kind of icon would you use to represent a communication path between systems or between a human and a system? Choose only one option.(a) A.(b) B.(c) C.
=+10. With reference to Figure 7.28, which kind of icon would you use to represent an object that coordinates a system process, creates objects or retrieves objects? Choose only one option.(a) A.(b)
=+1. Why are layers important in subsystem design? Choose all options that apply.(a) They make it easier to change the implementation(b) They reduce the number of classes in the implementation(c)
=+2. If two customers, on opposite sides of the world, wish to purchase the last ticket available for a concert, what would be a good approach for allocating the ticket? Choose only one option.
=+(a) Introduce an extra business rule that combines a query for ticket availability with a temporary reservation.
=+(b) Make the customers take part in a software ‘race’ to get the ticket.
=+(c) Don’t allow the last ticket to be sold, because that would be unfair to one of the customers.
=+3. With reference to Figure 6.13, what is Z? Choose only one option.(a) A class.(b) An event.(c) An interface.(d) A boundary.(e) A property.
=+1. What are some of the advantages of Java as an implementation technology? Choose all options that apply.(a) Object-oriented purity.(b) Invented by Microsoft.(c) Network readiness.(d)
=+2. Servlets are a direct replacement for what? Choose only one option.(a) XML.(b) Applets.(c) ActiveX controls.(d) CGI scripts.(e) CORBA.
=+1. What kind of diagram is shown in Figure 10.28? Choose only one option. :Member Applet :Member :Member Home :Authentication Server p:PMember logon() logon(“M1”, “xyz”, true)
=+(c) Class diagram.(d) Use case diagram.(e) Sequence diagram.(f) Communication diagram.(g) Deployment diagram.
=+2. Currently, what is the most common type of database management system? Choose only one option.(a) Network.(b) Relational.(c) Object-oriented.(d) Hierarchical.(e) Indexed file.
=+3. In UML diagrams, how are class messages distinguished from instance messages? Choose only one option.(a) Class messages are shown in brackets.(b) Class messages are shown in italics.(c) Class
=+4. What is meant by the term ‘deadlock’? Choose only one option.(a) Two processes or threads refuse to talk to each other.
=+(b) An object’s monitor allows its lock to terminate early.(c) An object is waiting for a resource, which is being used by an object waiting for a resource used by the first object.
=+5. What is a ‘thread’? Choose only one option.(a) An independent process running on a node, with its own memory and IO.
=+(b) An activity within a process that shares memory with other activities.(c) A designer’s thought process.
Write down an Overview of Digital Printing Systems
Describe BUSINESS MANAGEMENT
Design a uniform 2 bit (4-level) quantizer for a signal with dynamic range between 0 and 1.
The PDF of random variable X is shown in Figure 2.16. For this random variable,a. Design the 2 bit (4 levels) uniform quantizer and calculate the MSE.b. Design the 2 bit (4 levels) Lloyd–Max
Design a 3 bit optimum quantizer for a signal with unit variance Laplacian distribution.The unit variance Laplacian distribution is given by the following PDF. P(x) 200
Given the five training vectors:design a 1 bit vector quantizer using K-means algorithm X2 = -2 X3 0 X4= and Xs = 2 0
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