Questions and Answers of Modern Control Systems

A motor control system for a computer disk drive must reduce the effect of disturbances and parameter variations, as well as reduce the steady-state error. We want to have no steady-state error for
Consider the case of a navy pilot landing an aircraft on an aircraft carrier. The pilot has three basic tasks. The first task is guiding the aircraft’s approach to the ship along the extended
A unity feedback system has a loop transfer functionwhere K = 20. Find the roots of the closed-loop system’s characteristic equation. L(S) K (s + 1)(s + 3) (s + 6)'
Consider a feedback system with closed-loop transfer functionIs the system stable? T(S): 4 S³+ 45² + s + 4
A system has a characteristic equation s3 + 15s2 + 2s + 40 = 0. Using the Routh–Hurwitz criterion, show that the system is unstable.
A system with a transfer function Y(s) / R(s) isDetermine the steady-state error to a unit step input. Is the system stable? Y(s) R(S) 10(s + 1) 54 + 65³ +5² + s +3²
A feedback control system has a characteristic equationDetermine whether the system is stable, and determine the values of the roots. 56 +255 + 1354 + 16s³ + 56s² + 32s + 80 = 0.
The matrix differential equation of a state variable model of a system isFind the range of k where the system is stable. X(t) 0 1 0 0 -k -8 0 1 x(t). -4
Determine whether the systems with the following characteristic equations are stable or unstable:(a) s3 + 3s2 + 5s + 75 = 0(b) s4 + 5s3 + 10s2 + 10s + 80 = 0(c) s2 + 6s + 3 = 0
Find the roots of the following polynomials:(a) s3 + 5s2 + 8s + 4 = 0(b) s3 + 9s2 + 27s + 27 = 0

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