There are considered acceleration of few types multicharged ions with different A/Z ratio in single accelerating RFQ channel without outer focusing magnetic field. RFQ may be independent accelerator or as part of injection system into DTL of high energy. There are considered compact RFQ with high operating frequency (for example frequencis of P-diapason). So magnetic focusing is absent mathematical methods of control theory are used for optimization of RFQ vane geometry to obtain exit beam parameters suitable for further acceleration. It is possible separate acceleration a few type of ions in single RFQ channel or simultaneous acceleration if (case of heavy ions) ion currents are very small.