Output Control of Large Dynamic System Spectrum

For the most difficult task of controlling a multivariable dynamic system with representation in state space, where the dimension of the system output vector is less than the dimension of the state vector, there is an effective method of output control. In the conventional formulation, in this case the problem is solved first by estimating the missing component vector output (synthesis of dynamic observer), and then by the synthesis of stabilizing control (synthesis of static feedback). This leads to a substantial increase in the dimension of the closed system. The developed method allows the synthesis of control without solving the problem of estimation of the state vector. The method is based on the use of a special decomposition of a dynamical system, is the same for continuous and discrete cases of the description of the model system, and has no restrictions on algebraic and geometric multiplicity of defined elements of the spectrum. It allows us to build an analytical solution and to carry out the parameterization of the solution set.

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