Abstract :
In studies of the robust stability of induction motor drive systems, it is often necessary to know the analytical form of the characteristic polynomial of such a drive system. Such a form makes it possible to reveal, symbolically, the relation between the coefficients of the characteristic polynomial of the drive studied and the parameters of the induction motor. During analysis of the various feedback loops existing in the multidimensional control system studied, the nontrivial problem of minimization of the order of the matrix transfer function characteristic polynomial may arise. In the paper, a method which considerably simplifies the procedure of determining the minimal, as regards order, analytical form of the characteristic polynomial of a drive system is presented. From this method, general formulae are obtained, which make it possible to determine simply and quickly the analytical forms of any complex, as regards structure and number of controlled output signals, transfer function types of induction motor control systems
Keywords :
control system analysis; feedback; induction motor drives; machine control; machine theory; multidimensional systems; polynomial matrices; robust control; transfer functions; characteristic polynomial; control simulation; feedback loops; induction motor drive systems; matrix transfer function; minimal analytical form; multidimensional control system; robust stability; Control systems; Feedback loop; Induction motors; Polynomials; Robust stability; Stators; Steady-state; Synchronous motors; Transfer functions; Voltage control;
