Multi-objective MIMO Optimal Control Design without Zero Interpolation

In this paper optimal controller design which ad-dress the concerns of the 312 and the k', norms is studied. In the first problem a positive combi-nation of the 312 and the t, norms of the closed loop is minimized. In the second the t 1 norm of a transfer function is minimized while restraining the another below a prespecified level. Converg-ing upper and lower bounds are obtained. Rela-tion to the pure k'1 problem is established. The solution methodology does not involve zero inter-polation to characterize the achievable closed-loop maps. Thus obtaining the controller from the op-timal closed-loop map is very straightforward