A NEW STRATEGY FOR FINDING SWITCHING CONTROLS IN CONTROLLABILITY PROBLEMS


Hamidoğlu A.

6th International Conference on Control and Optimization with Industrial Applications (COIA), Baku, Azerbaijan, 11 - 13 July 2018, pp.135-137 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Baku
  • Country: Azerbaijan
  • Page Numbers: pp.135-137

Abstract

In this paper, we analyze controllability problems in R-n with switching controls and give a new strategy for finding switching controls that make the system controllable. Switching controls are controllers that at each instant of time, only one control is activated. The strategy is to control the given system by switching from one control to another in a systematic way. Hence, this makes the system more convenient, practical and reliable. The switching control problem was first considered by Zuazua in [4], where he proved that under some Kalman related conditions, one can find swithing controls in finite dimansional systems which makes the evolutionary system controllable, and they are of minimal norm L-2 (0, T, R-m). In this work, we see that actually there are infinitely many switching controls, and for existance of those controls, it requires less conditions for obtaining controllability of the system. In other words, by using our startegy we build swithing controls with less conditions posed on the finite dimensional control system given in [4], and see that those controls make the system controllable.