| ybrid Continuous/Discrete Time Systems are systems in which one part evolves in continuous time and another in discrete time. Important examples of such systems are digital (sampled-data) control systems, in which a continuous time plant is controlled by a digital controller using sample and hold devices. Traditionally, such systems have been discretized and treated as discrete-time systems thereby ignoring their continuous time (or inter-sample) behavior. The traditional approach is not applicable in modern theories of robust control such as ;The continuous time behavior of sampled-data systems is in general periodically time varying. A new framework is developed for continuous-time periodic systems which has many of the useful qualities of the time invariant theory such as transforms and constant state space realizations. The framework is based on a lifting technique which establishes a strong correspondence between periodically time-varying systems in continuous time, and certain types of infinite dimensional time-invariant systems in discrete time. The utility of this framework is shown by posing and providing exact and constructive solutions to both the... |
