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[References: 26 tit.]

The paper is dedicated to a development of methods of synthesizing linear adaptive-robust controllers of low order, which allow providing constant values of control quality indices. To stabilize systems' dynamics, it is proposed to place allocation areas of system poles according to pole dominance principle. Dominant poles allocation in certain points of complex plane is reached by adjusting some of controller parameters; reduction of other poles' influence on the control quality is reached by choosing constant values for other parameters of the controller. The paper proposes the synthesis method combining advantages of adaptive and robust approach to synthesizing control systems with interval parameters. It is noted that to apply the method proposed, it is necessary to obtain linear mathematical model of the system in the form of characteristic polynomial with integral coefficients and to adjust the parameters of controller, it is necessary to obtain transient values of interval parameters.