Properties of the delta operator model of dynamic physical systems

For control system analysis and design, and high-speed real-time computation, the computational formulation, properties and applications of the delta operator model of dynamic physical systems are highlighted. Doubling algorithms for reliable computation are formulated, and the transfer function matrix of the delta operator model is illustrated. In the fast sampling limit, the delta operator model tends to the dynamic system model. This intrinsic property of the delta operator model unifies continuous and discrete time control engineering and paves the way for the design of robust computational algorithms