LYAPUNOV DESIGN OF TIME-SHARED SAMPLED-DATA CONTROL SYSTEMS

This paper is concerned with the problem of sampled-data control of a multi-variable system when only one control variable may be used at a time. A quasi-optimal system for time-sharing control is designed via the direct method of Lyapunov. The design specifies control lows and the decision criterion for utilization of the controller. It is shown that even with simplified decision criteria, stability properties are preserved. The method is developed for continuous plants containing at most a single integration. The results also apply to the classical adaptive-sampling problem where the objective is simply to conserve the number of controlling sampling intervals for a single process. A numerical example is presented of the time-shared control of four second-order systems, each containing an integration. © 1969 Taylor and Francis Group, LLC.