Robust control systems with delay: A synthesis procedure (Q1289164)

A linear closed-loop control system is considered. It is assumed that the controlled object is continuous-time and linear with certain point delays in the control channels, and the regulator is also linear but discrete-time. Examples of such control systems are objects in which the delay in the control channels is determined by a prolonged flow of materials, energy or data. A procedure for the synthesis of the regulator which leads to an asymptotically stable closed-loop control system is presented and discussed. The margin of stability is also considered and extensively used in the synthesis procedure. Moreover, several remarks and comments on the stability problems for closed-loop control systems with delays are given. Finally, a simple numerical example which illustrates the synthesis procedure is presented. The paper extends the synthesis procedure given by the author for one-dimensional delayed objects [``Analytic synthesis of the absolute stable with respect to delay discrete control systems'', Moscow VINITI, No. 916 (1986)], to multidimensional objects.