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Nonlinear and adaptive control of dynamic objects with restricted control input

The aim of this research was to develop a research unit of new methods of nonlinear and adaptive control of dynamic objects in a limited control.

The object of the study is industrial systems, mechatronic systems, mobile robots and aircrafts under the constraints in the control action and a priori parametric uncertainty.

Theoretical basis of research is the use of methods of Lyapunov and interval arithmetic. Achievement of results was carried out by means of modern control theory methods based on the use of Lyapunov functions, methods passification, adaptive control and velocity gradient.

To achieve this goal within the framework of this research area the following problems have been solved:

The analysis of the stability problems of hidden oscillations in problems of dynamic systems with limited control.
Developed new criteria for stability and quality for complex, dynamic and oscillatory systems.
New methods of nonlinear and adaptive control of industrial systems with limited control.

The algorithms developed for nonlinear and adaptive control have efficiency and versatility for a  technical facilities of control  and can be easily implemented in practical applications. The problems arising in control systems in the presence of actuator saturation also has been studied.  The new sustainability criteria and quality for complex dynamic systems and vibration control problems for aircraft, given the limited controls have also been reseached.