Act-and-wait concept for continuous-time control systems with feedback delay

摘要

The act-and-wait control concept is introduced for continuous-time control systems with feedback delay associated with infinite poles. The point of the method is that the feedback is periodically switched on (act) and off (wait) during the control. It is shown that if the duration of waiting (when the control is switched off) is larger than the feedback delay, then the system can be represented by a finite dimensional monodromy matrix, and a finite number of eigenvalues describe stability. This way, the infinite dimensional pole placement problem is reduced to a finite dimensional one. The efficiency of the method is demonstrated on a case study.