Problem Formulation

qConsider a general LFT system

All stabilizing controllers satisfying ||*T**zw*||¥ < g: *K=F**l*(*M*¥,*Q*), *Q*Î*RH*¥ , ||*Q*||¥ < g where *M*¥ is of the form

Such that and are both stable, I.e., *M**12**-1* and *M**21**-1** *are both stable.

qFind a controller *K *with a minimal order such
that ||*F**l*(*G*,*K*)||¥< g . Û

qFind a stable Q such that *K=* *F**l*(*M*¥,*Q*) has minimal order and ||*Q*||¥< g .