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WorksheetsUnderstanding the Stability in Control System
Total questions: 10
Worksheet time: 5mins
What is the technique to solve stability problem?
Cramer's rule
Routh Hurwits Criterion
Block reduction
A linear system is stable if it is able to give the same output when used to measure a constant input over a period of time
True
False
There are three stability conditions that we have to identify. Name one of the conditions.
(a)
Picture given shows that natural response neither decays nor grows, but remains constant or oscillates as time approaches infinity.
What is the stability condition that the statement refer to?
(a)
If the poles of system is in the left half of the complex s-plane, the system is
(a)
a system is (a) if there are no sign changes in the first column of the Routh table
When build Routh table, in the most left column, fill the sn starting with the _________
lowest
highest
Tick the right step when fill in the Routh table
Fill the table with the coefficients from the characteristic equation (denominator)
Fill the 2nd row with the skipped coefficients
Fill the rest of the table with the modified determinant formula
Interpret the first column of Routh table to see changes of sign
Identify poles location
When there is Zero in the first column in Routh table
the system is unstable
replace with ε to carry on with the calculation
Tick the steps for solve Routh table when there is the entire row is Zero
Return to the row above the row of zeros, form the auxiliary polynomial using the entries in that row as coefficients.
The polynomial will start with the power of s in the label column and continue by skipping every other power of s.
Differentiate the polynomial with respect to s
Fill ROZ with the differentiated polynomial
Find the transfer function of system
