Control system design for moving objects with channel switching

This paper considers the problem of designing control systems for moving objects with control channel switching. A generalized characteristic is proposed to eliminate jumps and impulses that may occur at switching instants. This characteristic describes the entire ensemble of system trajectories under control channel switching at an arbitrary random instant. A numerical inversion method is developed for the Laplace transform based on expanding the delta function into a series of exponential polynomials. With this method, the generalized characteristic of the system can be approximated by a given time domain. The exponential series description of the generalized system characteristic allows reducing the original design problem to a system of algebraic inequalities. A particular example of designing an automatic pitch control system for an aircraft with a normal overload limit is presented; as is shown, the entire ensemble of trajectories obtained for different channel switching instants belongs to a given time domain.