A mixed H-2/H-infinity, optimal control design and its application to
a flight control problem of B-1 aircraft is studied. The mixed H-2/H-i
nfinity, optimal control design is one of finding an internally stabil
izing controller that minimizes the H-2/H-infinity performance index s
ubject to an inequality constraint on H-infinity norm. The application
is a linear model of longitudinal motion of B-1 aircraft. A standard
eigenvalue problem that involves linear matrix inequalities is formula
ted, and efficient interior point algorithms are used to solve this pr
oblem numerically. Results show that this mixed H-2/H-infinity optimal
design leads the designer; into a tradeoff between H-2 and H-infinity
objectives. Through this method, a designer can determine the control
lers that result in the desired closed-loop noise rejection properties
and stability robustness.