LINEAR OPTIMAL-CONTROL FOR AN AIRCRAFT MODEL

A linear optimal proportional plus integral (PI) controller is designe d for a lateral aircraft model such that an approximately decoupled cl osed-loop step response is obtained for the roll angle and side-slip a ngle while the linear optimal feedback gains are simultaneously minimi zed. A standard mathematical programming algorithm is employed to calc ulate the diagonal state weighting matrix Q such that the specificatio ns are satisfied. The synthesis procedure consists of the iterative mi nimization of a functional where at each iteration step a linear optim al control problem is solved.