Special-purpose devices using techniques of discontinuous control and setting adjustment (DC&SA) in control applications

DC&SA are the result of a synthesis of two independent concepts of control: the sliding mode and optimal rating. This paper is aimed not only at developing the results obtained in the sphere of discontinuous system design, but also at presenting these results in close correlation with the basic concepts, problems and methods of theoretical aspects of the present-day control theory. The discontinuity of control results in a discontinuity part of the differential equations describing the system motions. If such discontinuities are deliberately introduced on certain surfaces in the system state space, then motions in a sliding mode may occur in the system. Long-period fiber Bragg gratings, used as sensors, are regarded as electronic elements having a discontinuity-switching mode where the sliding modes are the basic motions. Implementation of this approach implies the knowledge of the conditions of the occurrence of sliding mode, for which purpose a sliding mode indicator has been developed. We designed a spatial observer who uses measurements as basic data, and it will help to identify the state vector of the system.