Gx. Gu et P. Misra, DISTURBANCE ATTENUATION AND H-INFINITY OPTIMIZATION WITH LINEAR OUTPUT-FEEDBACK CONTROL, Journal of guidance, control, and dynamics, 17(1), 1994, pp. 145-152
Recently, many important results have been established for solving the
following problem in linear system theory: Design a dynamic output fe
edback compensator such that the gain of the closed-loop transfer func
tion is minimized over all frequencies. This paper considers disturban
ce attenuation and H-infinity optimization with linear static output f
eedback control. Under certain minimum phase assumption on the open-lo
op plant and the condition that the open-loop system is stabilizable u
sing high gain feedback, the achievable disturbance attenuation level
with constraint linear static output feedback is obtained. A synthesis
procedure to achieve prespecified disturbance attenuation is develope
d and illustrated by means of an example.