1- [a] For positive values of K, plot the root locus for a unity negative feedback...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s) =- (s+1)(s+4)(s+7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the root distribution and the system stability. (15%) 1) S' + 3S° + 3S°+ s*+ S'+ 3S? + 3S +1 =0 2) s +8s* +2s +4s +2s+4 =0 3) S°+s* + 2S* + 2s° + 3S + 2S +4 = 0 2- [a] For the system that have the following transfer function 4(s+2)(s+7) U(s) (s+3)(s+ 4)(s+5) Y(s) Give the state space in pole-zero form, then find the matrix T to converted into diagonal form then find the new system. (30%) [b] For the system has the transfer function 5 , assuming unity negative s+s+6 feedback 1) Compute the rise time and the percentage overshoot for the step input 2) The error constants (15%) 1- [a] For positive values of K, plot the root locus for a unity negative feedback control system having the following open-loop transfer function: K G(s) =- (s+1)(s+4)(s+7) For what values of gain K does the system become unstable? Find also the value of k at which the damping ratio is 0.5 and the closed loop poles. (25%) [b] The characteristic equations of linear control systems are given below. Apply Routh-Hurwitz criterion to determine the root distribution and the system stability. (15%) 1) S' + 3S° + 3S°+ s*+ S'+ 3S? + 3S +1 =0 2) s +8s* +2s +4s +2s+4 =0 3) S°+s* + 2S* + 2s° + 3S + 2S +4 = 0 2- [a] For the system that have the following transfer function 4(s+2)(s+7) U(s) (s+3)(s+ 4)(s+5) Y(s) Give the state space in pole-zero form, then find the matrix T to converted into diagonal form then find the new system. (30%) [b] For the system has the transfer function 5 , assuming unity negative s+s+6 feedback 1) Compute the rise time and the percentage overshoot for the step input 2) The error constants (15%)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
A unity negative feedback control system has the loop transfer function (a) Determine the percent overshoot and settling time (using a 2% settling criterion) due to a unit step input. (b) For what...
-
A unity negative feedback control system in a manufacturing system has a process transfer function and it is proposed that we use a compensator to achieve a 5% overshoot to a step input. The...
-
For the system with open loop transfer function . a) Draw the Bode curve for K = 100. (asymptotes of the amplitude and phase diagrams and resultantDraw the curve, the curve of each asymptote which...
-
Following procedures similar to those for the homogeneous problem (see Section 8.4.1), develop the following stress field for a pressurized hole in an infinite nonhomogeneous medium with moduli...
-
How is a purchase discount recorded in a perpetual system?
-
Suppose that the demand for steel in Japan is given by the equation QdS = 1200 - 4PS + PA + PT, where QS is the quantity of steel purchased (millions of tons per year), PS is the price of steel (yen...
-
Discuss the distinctions among negligent torts, intentional torts, and strict liability.
-
Jackson, Inc.s fiscal year ends December 31. Selected transactions for the period 20-1 through 20-8 involving bonds payable issued by Jackson are as follows: 20-1 Oct. 30 Issued $600,000 of 10-year,...
-
Margaret, a married taxpayer filing a joint return, engaged in two business activities this year. Business A earned $ 4 0 0 , 0 0 0 of profit. Business B incurred a loss of $ ( 9 9 5 , 0 0 0 ) ....
-
As a preliminary to requesting budget estimates of sales, costs, and expenses for the fiscal year beginning January 1, 20Y9, the following tentative trial balance as of December 31, 20Y8, is prepared...
-
Resonance may be defined as the conservation of energy when a wave interacts with a receiver object increase in amplitude of an object when more energy is added. transfer of energy when both source...
-
In 2020, the Palestinian government decided to increase its expenditure due to COVID-19 outbreak by $0.7 billion. It is estimated that an increase in Palestinian income by $100 would increase...
-
A snack food factory in the Tuas area of Singapore employs 100 workers and 20 machines. Currently the marginal product of labor is $6 and that of capital is $15. Assuming that the market prices for...
-
Patricia owns a cleaning business with Sarah. They both have other jobs and are trying to determine the number of hours to work at the cleaning business. The following payoff matrix shows their daily...
-
Discuss? Title flow refers to the passing of legal ownership from one entity to the next. For example, manufacturers may sell products to distributors, who "take title" by becoming the owners of the...
-
What are the components of aggregate expenditure? O a. Consumption, savings, government spending, and net exports. O b. Consumption, investment, government spending, and imports. O c. Consumption,...
-
Group Project & Presentation Financial Analysis of a Corporation You are a team of financial analysts at a small, but reputable consulting firm in Gastown, Vancouver. You have been engaged to provide...
-
Differentiate the following terms/concepts: a. Personality types and money attitudes b. Planners and avoiders c. Moderating and adapting to biases d. "Perfectible judges" and "incorrigible judges"
-
The function of a steel plate mill is to roll reheated slabs into plates of scheduled thickness and dimension [5, 10). The final products are of rectangular plane view shapes having a width of up to...
-
Consider the feedback control system in Figure AP2.3. Define the tracking error as E(s) = R(s) - Y(s). (a) Determine a suitable H(s) such that the tracking error is zero for any input R(s) in the...
-
Vehicles for lunar construction and exploration work will face conditions unlike anything found on Earth. Furthermore, they will be controlled via remote control. A block diagram of such a vehicle...
-
Using the potential theory obtain the damping for a cycle of (i) plunge, (ii) pitch oscillations.
-
Obtain the vortex lift line slope, given by Eq. 8.14, for a supersonic delta wing. Eq. 8.14 Ky = -(cos A) ?
-
The state-space representation is based on a state function \(x\) satisfying the first order ODE \(\tau_{1} \dot{x}=x_{o}\left(\alpha-\tau_{2} \dot{\alpha} ight)-x\), where argument...
Study smarter with the SolutionInn App