Determine a state variable representation for the system described by the transfer function Y(s)4(s + 3) (s) = R(s)-(s + 2)(s + 6)

A system has the following differential equation: Determine Φ(t) and its transform Φ(s) for the system. 0 0 2

A system has a block diagram as shown in Figure P3.26. Determine a state variable model and the state transition matrix Φ(s). R(s) Msi 25 FIGURE P3.26 Feedback system

Consider the mass m mounted on a mass less cart, as shown in Figure AP3.2. Determine the transfer function Y(s)/U(s), and use the transfer function to obtain a state-space representation of the...

Consider the electromagnetic suspension system shown in Figure AP3.1. An electromagnet is located at the upper part of the experimental system. Using the electromagnetic force f, we want to suspend...

Front suspensions have become standard equipment on mountain bikes. Replacing the rigid fork that attaches the bicycle's front tire to its frame, such suspensions absorb bump impact energy, shielding...

Consider the single-input, single-output system described by x(t) = Ax(t) + Bu(t) y(t) = Cx(t) where Assume that the input is a linear combination of the states, that is, u(t) = -Kx(t) + r(t), where...

A system has the state variable matrix equation in phase variable form It is desired that the canonical diagonal form of the differential equation be Determine the parameters a, b, and d to yield the...

A closed-loop system is used to track the sun to obtain maximum power from a photovoltaic array. The tracking system may be represented by Figure 4.3 with H(s) = 1 and G(s) = 100/s + 1 where = 3...

A feedback system has the closed-loop transfer function given by (a) Compute the sensitivity of the closed-loop transfer function to changes in the parameter p, where p > 0. (b) Compute the...

Consider the two systems and (a) Using the tf function, determine the transfer function Y(s)/U(s) for system (1). (b) Repeat part (a) for system (2). (c) Compare the results in parts (a) and (b) and...

A proposed hypersonic plane would climb to 100,000 feet, fly 3800 miles per hour, and cross the Pacific in 2 hours. Control of the aircraft speed could be represented by the model in Figure P4.14....

Reconsider the unity feedback system discussed in E4.14. This time select K = 120 and K1 = 10. The closed-loop system is depicted in Figure E4.15. (a) Calculate the steady-state error of the...

A control system has two forward paths, as shown in Figure P4.4. (a) Determine the overall transfer function T(s) = Y(s)/R(s). (b) Calculate the sensitivity, STG, using Equation (4.16). (c) Does the...

Consider the closed-loop transfer function Obtain the family of step responses for K = 10, 200, and 500. Co-plot the responses and develop a table of results that includes the percent overshoot,...

A feedback system is shown in Figure E5.14. (a) Determine the steady-state error for a unit step when K = 0.4 and Gp(s) = 1. (b) Select an appropriate value for Gp(s) so that the steady-state error...

A system is shown in Figure E5.18(a). The response to a unit step, when K = 1, is shown in Figure E5.18(b). Determine the value of K so that the steady-state error is equal to zero. GIS) fs) ir 1.0 0...

Extreme temperature changes result in many failures of electronic circuits [1]. Temperature control feedback systems reduce the change of temperature by using a heater to overcome outdoor low...

A system is shown in Figure P5.20. (a) Determine the steady-state error for a unit step input in terms of K and K1, where E(s) = R(s) - Y(s). (b) Select K1 so that the steady-state error is zero. (s...

A unity negative feedback system has the loop transfer function Using Isim, obtain the response of the closed-loop system to a unit ramp input, R(s) = 1/s2. Consider the time interval 0 ¤ t...

The loop transfer function of a unity negative feedback system is L(s) = Gc(s)G(s) = 25/s(s + 5). Develop an m-file to plot the unit step response and determine the values of peak overshoot Mp, time...

Consider the closed-loop system is depicted in Figure CP4.10. The controller gain K can be modified to meet the design specifications. (a) Determine the closed-loop transfer function T(s) =...

Consider the non-unity feedback system is depicted in Figure CP4.11. (a) Determine the closed-loop transfer function T(s) = Y(s)/R(s). (b) For K = 10, 12, and 15, plot the unit step responses....

A system has a characteristic equation q(s) = s4 + 9s3 + 45s2 + 87s + 50 = 0. (a) Determine whether the system is stable, using the Routh-Hurwitz criterion. (b) Determine the roots of the...

We are all familiar with the Ferris wheel featured at state fairs and carnivals. George Ferris was born in Galesburg, Illinois, in 1859; he later moved to Nevada and then graduated from Rensselaer...

Consider the system represented in state variable form x = Ax + Bu y = Cx + Du, where (a) What is the system transfer function? (b) For what values of k is the system stable? A0 0 B0 L-k C-[1 -k-k 0...

A unity feedback system has a loop transfer function L(s) = K / (s + l)(s + 3)(s + 6), where K = 20. Find the roots of the closed-loop system's characteristic equation.

Utilizing the Routh-Hurwitz criterion, determine the stability of the following polynomials: (a) s2 + 5s + 2 (b) s3 + 4s2 + 8s + 4 (c) s3 + 2s2 - 6s + 20 (d) s4 + s3 + 2s2 + 12s + 10 (e) s4 + s3 +...

A feedback control system has a characteristic equation s3 + (1 + K)s2 + 10s + (5 + 15K) = 0. The parameter K must be positive. What is the maximum value K can assume before the system becomes...

Determine the relative stability of the systems with the following characteristic equations (1) by shifting the axis in the s-plane and using the Routh-Hurwitz criterion, and (2) by determining the...

The design of the control for a welding arm with a long reach requires the careful selection of the parameters [13]. The system is shown in Figure DP5.2, where ζ = 0.6, and the gain K and...

A unity negative feedback system has the loop transfer function Gc(s)G(s) = s + 1 / s3 + 4s2 + 6s + 10. Develop an m-file to determine the closed-loop transfer function and show that the roots of the...

A robot force control system with unity feedback has a loop transfer function [6] (a) Find the gain K that results in dominant roots with a damping ratio of 0.707. Sketch the root locus. (b) Find the...

Designers have developed small, fast, vertical-takeoff fighter aircraft that are invisible to radar (stealth aircraft). This aircraft concept uses quickly turning jet nozzles to steer the airplane...

A very interesting and useful velocity control system has been designed for a wheelchair control system. We want to enable people paralyzed from the neck down to drive themselves in motorized...

A control system for an automobile suspension tester has negative unity feedback and a process [12] L(s) = Gc(s)G(s) = K(s2 + 4s + 8) / s2(s + 4) We desire the dominant roots to have a equal to 0.5....

A control system is shown in Figure AP6.3. We want the system to be stable and the steady-state error for a unit step input to be less than or equal to 0.05 (5%). (a) Determine the range of...

A spacecraft with a camera is shown in Figure AP6.6(a).The camera slews about 16° in a canted plane relative to the base. Reaction jets stabilize the base against the reaction torques from the...

Let us consider a device that consists of a ball rolling on the inside rim of a hoop [11]. This model is similar to the problem of liquid fuel sloshing in a rocket. The hoop is free to rotate about...

The loop transfer function of a single-loop negative feedback system is This system is called conditionally stable because it is stable only for a range of the gain K such that k1 K(s 2.5s 3.2)

Sketch the root locus for the following loop transfer functions of the system shown in Figure P7.1 when 0 (a) (b) (c) (d) Figure P7.1 K(s 5) G(s)Gs) + I( 10) K(s 4s 8) s(s 1) Controller Process

A computer system requires a high-performance magnetic tape transport system [17]. The environmental conditions imposed on the system result in a severe test of control engineering design. A...

A mobile robot suitable for nighttime guard duty is available. This guard never sleeps and can tirelessly patrol large warehouses and outdoor yards. The steering control system for the mobile robot...

The fuel control for an automobile uses a diesel pump that is subject to parameter variations. A unity negative feedback has a loop transfer function (a) Sketch the root locus as K varies from 0 to...

A micro robot with a high-performance manipulator has been designed for testing very small particles, such as simple living cells [6]. The single-loop unity negative feedback system has a loop...

Identify the parameters K, a, and b of the system shown in Figure P7.37. The system is subject to a unit step input, and the output response has an overshoot but ultimately attains the final value of...

A unity feedback system has the loop transfer function This system is open-loop unstable. (a) Determine the range of K so that the closed-loop system is stable. (b) Sketch the root locus. (c)...

The top view of a high-performance jet aircraft is shown in Figure AP7.1(a) [20]. Sketch the root locus and determine the gain K so that the ζ of the complex poles near the jÏ-axis...

A tendon-operated robotic hand can be implemented using a pneumatic actuator [8]. The actuator can be represented by Plot the frequency response of G(jÏ). Show that the magnitude of G(jÏ)...

Sketch the Bode diagram representation of the frequency response for the transfer functions given in Problem P8.1.

A feedback system with positive feedback is shown in Figure AP7.7. The root locus for K > 0 must meet the condition Sketch the root locus for 0 KG(s)-1 / k 360 G(s) Y(s) FIGURE AP7.7 A closed-loop...

The drive motor and slide system uses the output of a tachometer mounted on the shaft of the motor as shown in Figure CDP4.1 (switch-closed option). The output voltage of the tachometer is vT =...

Consider a unity feedback system with the loop transfer function Find the bandwidth of the closed-loop system. 100

A robotic arm actuated at the elbow joint is shown in Figure DP7.9(a), and the control system for the actuator is shown in Figure DP7.9(b). Plot the root locus for K ¥ 0. Select Gp(s) so that the...

A unity feedback system has a loop transfer function Determine the phase margin and the crossover frequency. Ls) - G(o)G(6)005)1 + 0.15) 11.7

Consider the system described in state variable form by y(t) = Cx(t) where Compute the phase margin. 21. = [2 01

The magnitude plot of a transfer function is shown in Figure E8.5. Determine K, a, and b from the plot. Figure E8.5 Bode diagram. K(1 0.5s)(1 as) s(1s/8)( bs)( s/36) G(s) 0 dB/dec +20 dB/dec 20...

Consider a unity feedback system with the loop transfer function (a) Sketch the Bode diagram for K = 4. Determine (b) the gain margin, (c) the value of K required to provide a gain margin equal to 12...

A unity feedback system has the loop transfer function Sketch the Bode plot of the loop transfer function and indicate how the magnitude 20 log |L(jÏ)| plot varies as K varies. Develop a table...

A multi loop block diagram. (a) Compute the transfer function T(s) = Y(s)/R(s). (b) Determine K such that the steady-state tracking error to a unit step input R(s) = 1/s is zero. Plot the unit step...

Consider the system represented in state variable form y = [8 0]x + [0]μ Using the nyquist function, obtain the polar plot. 03

A robot with an extended arm has a heavy load, whose effect is a disturbance, as shown in Figure P10.15 [22]. Let R(s) = 0 and design Gc(s) so that the effect of the disturbance is less than 20% of...

A unity feedback system with the loop transfer function where T1 = 0.02 and T2 = 0.2 s. (a) Select a gain K so that the steady-state error for a ramp input is 10% of the magnitude of the ramp...

An engineering laboratory has presented a plan to operate an Earth-orbiting satellite that is to be controlled from a ground station. A block diagram of the proposed system is shown. It takes T...

The non unity feedback control system shown in Figure E10.18 has the transfer functions Design a compensator Gt.(s) and prefilter Gp(s) so that the closed-loop system is stable and meets the...

A unity feedback control system has the plant transfer function Design a PID controller of the form so that the closed-loop system has a settling time less than 1 second to a unit step input. G(s)...

Consider the system shown in block diagram form in Figure E ll . ll . Obtain a state variable representation of the system. Determine if the system is controllable and observable. FIGURE E11.11 State...

An adaptive suspension vehicle uses a legged locomotion principle. The control of the leg can be represented by a unity feedback system with [12] We desire to achieve a steady-state error for a ramp...

The state variable model of a plant to be controlled is y = [0 l]x + ~[0]u. Use state variable feedback and incorporate a command input u = -Kx + ar. Select the gains K and a so that the system has a...

A tele robot system has the matrix equations [16] and y = [1 0 2]x. (a) Determine the transfer function, G(s) = Y(s)/U(s). (b) Draw the block diagram indicating the state variables, (c) Determine...

Find a gain matrix K so that the closed-loop poles of the system y = [l -l]x are S1 = - 1 and s2 = -2 = -2. Use state feedback = -kx. -1 x + 2

A first-order system is given by with the initial condition x(0) = .v0. We want to design a feedback controller u = -kx such that the performance index is minimized. (a) Let A = 1. Develop a formula...

A PID controller is used in the system in Figure 12.1, where The gain KD of the controller (Equation (12.33)) is limited to 200. Select a set of compensator zeros so that the pair of closed-loop...

The goal is to design an elevator control system so that the elevator will move from floor to floor rapidly and stop accurately at the selected floor. The elevator will contain from one to three...

(a) For the system described in Problem P13.10, design a lag compensator Gc(s) using the methods of Chapter 10 to achieve an overshoot less than 30% and a steady-state error less than 0.01 for a ramp...

A closed-loop system with a sampler and hold, has a process transfer function Calculate and plot y{kT) for 0 20

A manufacturer uses an adhesive to form a seam along the edge of the material. It is critical that the glue be applied evenly to avoid flaws; however, the speed at which the material passes beneath...

A sampled-data system closed-loop block diagram is shown in Figure DPI 3.6. Design D{z) to such that the closed-loop system response to a unit step response has a percent overshoot P.O. 12% and a...

Develop an m-file to plot the unit step response of the system Verify graphically that the steady-state value of the output is 1. 0.2145z 0.1609 z20.75z 0.125 G(z) =

What is the difference between kernel and user mode? Explain how having two distinct modes aids in designing an operating system.

Suppose that the virtual page reference stream contains repetitions of long sequences of page references followed occasionally by a random page reference. For example, the sequence: 0, 1, ... , 511,...

A student has claimed that ''in the abstract, the basic page replacement algorithms (FIFO, LRU, optimal) are identical except for the attribute used for selecting the page to be replaced.'' (a) What...

Oliver Owl's night job at the university computing center is to change the tapes used for overnight data backups. While waiting for each tape to complete, he works on writing his thesis that proves...

Consider an application where students' records are stored in a file. The application takes a student ID as input and subsequently reads, updates, and writes the corresponding student record; this is...

A system has two processes and three identical resources. Each process needs a maximum of two resources. Is deadlock possible? Explain your answer.

A system has four processes and five allocatable resources. The current allocation and maximum needs are as follows: What is the smallest value of x for which this is a safe state? Process A Process...

The four conditions (mutual exclusion, hold and wait, no preemption and circular wait) are necessary for a resource deadlock to occur. Give an example to show that these conditions are not sufficient...

Why is migration of virtual machines from one machine to another easier than migrating processes from one machine to another?

Authentication mechanisms are divided into three categories: Something the user knows, something the user has, and something the user is. Imagine an authentication system that uses a combination of...

Explain under what situations a process may request a shared lock or an exclusive lock. What problem may a process requesting an exclusive lock suffer from?

When initializing a global variable in a multithreaded program, a common programming error is to allow a race condition where the variable can be initialized twice. Why could this be a problem?...

Modern applications must save their state to disk every time the user switches away from the application. This seems inefficient, as users may switch back to an application many times and the...

An alternative to using DLLs is to statically link each program with precisely those library procedures it actually calls, no more and no less. If this scheme were to be introduced, would it make...

Careful optimization can improve system-call performance. Consider the case in which one system call is made every 10 msec. The average time of a call is 2 msec. If the system calls can be speeded up...

What must be done to develop a Design-Specific ER model from a Presentation Layer ER model?

Consider the universal relation schema INVENTORY (Store#, Item, Vendor, Date, Cost, Units, Manager, Price, Sale, Size, Color, Location) and the constraint set F {fd1, fd2, fd3, fd4, fd5, fd6, fd7}...

Given the Universal Relation Schema URS (A, B, C, G, W, X, Y, Z) and the set of FDs prevailing over URS, F {fd1, fd2, fd3, fd4, fd5}, where: a. Derive a canonical cover of F. b. Derive the candidate...

Given the set of functional dependencies F {fd1, fd2, fd3, fd4, fd5, fd6, fd7, fd8, fd9, f10, f11} where: a. Construct the universal relation schema that includes (i.e., preserves) the set of...

Describe the six clauses that can be used in the syntax of the SQL Select statement. Which two clauses must be part of each Select statement?

This exercise is based on four different inventory relation schemas: P, Q, R, and S. An instance of each relation schema is given below, each of which reflects a different design objective. a....