Adaptive selective-invariant control of tracking electric drives with elastic kinematic transmissions

Currently, high quality indicators of adaptive versions of selective-invariant electromechanical systems designed to control the speed in a wide range have been obtained. Thus, it lays the groundwork for effective use of the proposed synthesis methods and obtained structural solutions in the systems of contour-positional and tracking control of angular displacements of the working elements of technological machines. The implemented structural-parametric synthesis is based on the methods of the theory of modal control, reduction of regulators, the principles of selective invariance, separation of the rates of movement of local subsystems, adaptive, contour-positional and tracking control. The study has been carried out by detailed computational experiments with models of synthesized electromechanical systems. The features of synthesis and functioning of adaptive selective-invariant systems with elastic kinematic links in the tracking and positioning modes are described. The combination of the principles of tracking, selective-invariant and adaptive control in the structure of a single electromechanical system makes it possible to fully provide new opportunities for the implementation of high-precision dynamic control of working machines.

Reset Control of Parallel MISO Systems

The proportional–integral plus Clegg integrator (PI + CI) controller is a hybrid extension of the proportional–integral (PI) controller that is able to overcome fundamental limitations of the linear and time-invariant control systems, potentially obtaining faster responses without increasing overshooting. This work focused on the analysis and design of PI + CI controllers and reset controllers in general, for the case of parallel multiple-input single-output (MISO) systems, extending previous design methods developed for the single-input single-output (SISO) case. Several design strategies were developed: one for first-order MISO plants achieving a flat response with a finite settling time, and for second-order MISO plants obtaining a fast response with a reduced overshoot and settling time in comparison with non-hybrid strategies. Several case studies were also developed to illustrate the potential of the proposed methods.

Lateral Motion Control Invariance Helicopter on the Roll Angle. Analytical Synthesis

For the linearized fourth-order model of the isolated lateral motion of a single-rotor helicopter as a MIMO system containing two inputs, the control is analytically synthesized, which ensures the invariance of the roll angle motion in the presence of disturbances in the control channels, as well as the required placement of the poles of the closed-loop system, given any specific values from the area of their stability. The approach to the synthesis of invariant control consists in finding a matrix of feedback coefficients of a linear system that satisfies the invariance conditions, which are a system of power matrix equations of a certain design. The synthesis is based on the application of theor ems based on the use of the regularization condition of the matrix equation and the invariance conditions under disturbances in the control channels, as well as theorems that make it possible to place the poles of the MIMO system using the original decomposition of the control object. Regularization of a matrix equation is understood as a solution to the problem of providing a given set of singular values for an inverted symmetric square matrix. The invariance of the MIMO system is considered with respect to unmeasured disturbances inthe control channels. The use of such an approach to the synthesis of invariant control made it possible to obtain an analytical solution that is versatile and can be applied in various flight modes of single-rotor helicopters with different dynamic properties. The results of the numerical synthesis of the lateral motion of a singlerotor helicopter using the obtained laws of invariant control, which confirm the reliability of the analytical expressions, areshown.

Analytical synthesis of the pitch-invariant control of the helicopter longitudinal motion with invariance of a pitch angle

The control for the linearized model of the longitudinal motion fourth order for a single-rotor helicopter is analytically synthesized which ensures the invariance of the pitch angle in the presence of disturbances in the control channels, as well as the required the poles placement of the closed-loop system, given from the region of their stability. The results of the numerical synthesis control for the longitudinal motion of a single-rotor helicopter by using analytically synthesized laws of invariant control, which confirm the reliability of the analytical expressions are shown. Keywords invariance; disturbances in the control channels; MIMO-system; decomposition; pole placement; analytical synthesis; longitudinal motion of a single-rotor helicopter; poles of a dynamical system

Invariant Algorithms of Multiple Regression for Optimal Control of Electric Drive Technological Installations

The theoretical aspects of the development of an invariant control system for high-power automated electric drives of oil and gas pipeline facilities are considered. A generalized mathematical model of the compression process is proposed, depending on the production, structural and climatic parametric disturbances on the electric drive. The results of the synthesis and analysis of invariant control systems for changing the parameters of the main factors of technological processes are presented. Using a concrete example of a compressor station of a main gas pipeline, the possibilities of stable operation of electric drives with multiple regression algorithms that provide resistan-ce to external influences and transition to low-population technologies for servic-ing electric drive units are justified.