Pole placement in the case of control of MIMO-system with state derivative feedback

The paper presents the developed method of pole placement in the determined linear dynamical MIMO-system controlled by state derivative feedback. The method is based on the original decomposition of the initial system with the help of matrix semiorthogonal zero divisors. The method is universal for both continuous and discrete cases of MIMO-system descriptions. It has no restrictions on both state vector dimensions and input ofMIMO-system, as well as on algebraic and geometric multiplicity of the given poles. It also allows analytical synthesis of regulators. The application of the proposed approach for the fourth-order dynamic system with two inputs is considered.

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