CONSISTENT DYNAMICAL SYSTEM OBSERVERS FOR NONDETERMINISTIC EVENT MODELING

This paper describes an approach for constructing consistent observers for dynamic systems based on a formalism of nondeterministic event mo deling (NEM). The first part of this paper establishes the definitions of NEM with a main focus on the notion of entropy that is extended fo r measuring the amount of information from nondeterministic events. Th e paper demonstrates the importance of the proposed entropy measure in contrast to the classical uncertainty measure when used in dynamic sy stems. The importance of the information measure stems from a potentia l failure of the classical uncertainty when observing nondeterministic events. Similar problems, which we describe as unobservable states, a re often seen in dynamic systems where an uncertainty measure is used in conjunction with some arbitrary decision process. Based on well-def ined dynamic systems concepts, the second part of the paper formulates the notion of consistent observer for nondeterministic event modeling . The consistent observer utilizes the monotonically decreasing entrop y function of nondeterministic events. An example will be given in thi s paper which numerically illustrates the notions of:NEM and consisten t observer.