Eb. Lee et Jc. Luo, DISTURBANCE STRESS FOR STABILIZED 2ND-ORDER CONTROL-SYSTEMS, Mathematical models and methods in applied sciences, 8(7), 1998, pp. 1155-1182
It is shown that the nastiest bounded disturbance stress for the stabl
e second order oscillator is bang-bang with switching set by the state
. A quadratic index and a time-distance index are used to evaluate the
severity of the stressing. A procedure is suggested to construct a sw
itching curve which synthesizes the disturbance stress in feedback for
m. Examples illustrating the results and the possible extension to thi
rd and higher order systems are given.