Controller design of LTI systems subject to hysteresis

LTI systems subject to hysteresis are investigated, especially the case where the hysteretic effect lies between controller and plant. Difficulties of stabilizability of this particular class of systems are explored. Then controller design is considered, where two different control strategies are investigated; a fixed sign controller and a bangbang controller. Theorems are stated to check fixed sign controllability and fixed sign stabilizablility. Stability properties, practical- -stability and quasi-stability of the systems with these controllers are investigated. Furthermore, a bang-bang controller is explored, and finally a switched controller is presented which combines the best of both strategies.