A system has the third-order characteristic equation s3 + as2 + bs + c = 0, where
Question:
s3 + as2 + bs + c = 0,
where a, b, and c are constant parameters. Determine the necessary and sufficient conditions for the system to be stable. Is it possible to determine stability of the system by just inspecting the coefficients of the characteristic equation?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (10 reviews)
The characteristic equation is s 3 as 2 bs c 0 so the Routh array is For the sy...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Computer Sciences questions
-
A system has the second-order characteristic equation s2 + as + b = 0, where a and b are constant parameters. Determine the necessary and sufficient conditions for the system to be stable. Is it...
-
A system has a characteristic equation s3 + 2s2 + (K + 1)s + 8 = 0. Find the range of K for a stable system.
-
A system has the characteristic equation q(s) = s3 + 10s2 + 29s + K = 0. Shift the vertical axis to the right by 2 by using s = sn - 2, and determine the value of gain K so that the complex roots are...
-
Name each of the following compounds using R,S and E,Z (Section 3.5) designations where necessary: a. b. c. d. e. f. g. h. CH2CH3 H- CH3 H2CH C-C C-C CI Br CH,CH CH-CH,CH,CH, - H3C CH2CH2l CH2CH...
-
Why does an intra-entity sale of a depreciable asset (such as equipment or a building) require subsequent adjustments to depreciation expense within the consolidation process?
-
Rita Emeterio bought disposable butane lighters for use at her bar. Her daughter, Gloria Hernandez, took lighters from the bar time to time for her personal use. Hernandezs five-year-old daughter,...
-
You are valuing Stedman Inc., a chemical firm in stable growth (growing 3 percent a year) that is expected to generate $100 million in after-tax operating income next year. You have estimated the...
-
Emerald Service anticipates the following sales revenue over a five- month period: The company's sales are 20% cash and 80% credit. Its collection history indicates that credit sales are collected as...
-
You are the loan officer at QIB responsible for determining whether BBCC's business is strong enough to be able to repay the loan. Using the attached Income Statement and Balance Sheet, accomplish...
-
X in State A and Y in State B plan to enter into a contract. What can they do to avoid the impact of fluctuations in the value of their money of account?
-
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...
-
Consider the system in Figure P6.13. Determine the conditions on K, p, and z that must be satisfied for closed-loop stability. Assume that K > 0, ζ > 0, and Ïn > 0. Figure P6.13...
-
List some of the major adjustments required when converting from fund financial statements to government-wide statements.
-
Consider the conditions associated with the hot water pipe of Problem 7.42, but now account for the convection resistance associated with water flow at a mean velocity of \(u_{m}=0.4 \mathrm{~m} /...
-
Liquid mercury at \(0.25 \mathrm{~kg} / \mathrm{s}\) is to be heated from 325 to \(375 \mathrm{~K}\) by passing it through a \(25-\mathrm{mm}\)-diameter tube whose surface is maintained at \(400...
-
How could bottleneck management's recommendations concerning the distinction between activation and utilization relate to personal time management?
-
Line balancing is a technique for scheduling for a system that produces at what level of volume?
-
\(\mathrm{NaK}(56 \% / 44 \%)\), which is an alloy of sodium and potassium, is used to cool fast neutron nuclear reactors. The NaK flows at a rate of \(\dot{m}=0.8 \mathrm{~kg} / \mathrm{s}\) through...
-
The data in the table lists U.S. natural gas consumption in quadrillion BTUS. (a) Find a polynomial function that models the data. (b) Graph f and the data together. Year 1960 1970 1980 1990 2000...
-
2. In the circuit given in Figure 2, i,(t) = 5.67cos(5t)A and v (t) = 70.71 cos(5t 60) V a) Find the equivalent load impedance. State whether the load is inductive or capacitive. b) Calculate the...
-
Suppose that you are leading the conversion from one word processor to another at your university. Develop a conversion strategy. You have also been asked to develop a conversion strategy for the...
-
Develop the combination of conversion strategy dimensions that produces the least risk; the most risk. Develop the combination of conversion strategy dimensions that produces the least cost; the...
-
Identify and explain three standard operating procedures for the course in which you are using this book. Discuss whether they are formal or informal.
-
The right-hand rule shows the direction of ____________. Group of answer choices EMI Current flow Electron Theory Current Flow Conventional Theory Magnetic Flux Lines
-
Find the Mach number. Given information: Pressure Altitude =20,000 ft Outside Air Temperature at Altitude = -22.32 deg F Indicated Airspeed =225 KIAS Atmosphere Table 2.1 Compressibility Correction...
-
What is the difference between a camera obscura and photography? Group of answer choices Photography is able to preserver the captured scene onto a surface. Images from a camera obsura are much...
Study smarter with the SolutionInn App