Control Using Logic-Based Switching

Abstract

A logic-based switching controller is a controller whosesubsystems include not only familiar dynamical components butlogic-driven elements as well. It has been shown that much can begained by using logic-based switching together with more familiartechniques in the synthesis of feedback controls. The overallmodels of systems composed of such logics together with theprocesses they are intended to control are concrete examples ofhybrid dynamical systems. This paper gives a brief tutorialreview of four different classes of hybrid systems of thistype-each consists of a continuous-time process to be controlled,a parameterized family of candidate controllers, and an eventdriven switching logic. Three of the logics, called pre-routedswitching, hysteresis switching and dwell-time switchingrespectively, are described. The fourth, called cyclic switching,has been devised to solve the long-standing stabilizabilityproblem which arises in the synthesis of identifier-basedadaptive controllers. We also discuss several basic issues commonto supervised control systems of all types.