Fundamentals of adaptive electromechanical control systems based on vector-controlled AC motors under incomplete information.

The theory of stability of multivariable nonlinear systems is extended allowing development of new design methods of control. The methods provide decomposition of the original system into the interconnected subsystems with the structural properties ensuring the local exponential stability of the composite system and quasi-independence of the subsystems’ processes along with the asymptotic linearization of one of them. The new control concept of a class of electromechanical systems is created with the formation of the resulting decomposition with the electromagnetic, angular velocity estimation’s, and mechanical subsystems. The concept is a general theoretical basis for solving the basics control problems of the system’s coordinates under the condition of incomplete information about the state vector. The method of vector control of electromechanical systems with induction motors under the condition of the incomplete information with the adaptive estimation of the time variable angular velocity and with the asymptotic fulfillment of the referred trajectories of the system coordinates is developed. The design methods of identification algorithms, adaptive observation and direct adaptive control based on partially measured state vector allowing locally defined solutions for a class of nonlinear adaptation plants with positive unknown coefficients of the estimation errors as well as for the nonlinear parameterization of the unknown parameters have been obtained for the first time. The results of application of the developed theoretical approaches for alternating current motors and centrifugal fans and pumps are shown.