Systems with Variable Parameters, their Eigenvalues, Choice of Parameters, Simulation

Abstract

The method of analysis and synthesis of linear feedback control systems with periodically varying parameters is described The method is based on the generalization of the theory of hill's equation. The method allows one to express L-transform of the transient response in closed form like function of Z = Q <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Tp</sup> . It gives possibility for calculating and for assignments of eigenvalues on the basis of finite Z-polynosic investigation. By means of assignment of the eigenvalues and use the relations between roots and coefficients, the parameters of the system may be found. The problem of simulation is discussed. Some applications and tutorial problems are considered.