ABSTRACT
This chapter investigates the state-variable representation of both continuous-time and discrete-time systems. It discusses briefly the composite control systems that have purely continuoustime portions and purely discrete-time portions. The continuous-time portions are assumed to be driven by zero-order holds, and the outputs coupled to the digital computer will be coupled through ideal samplers. The chapter introduces the concept of state-variable representation for continuous-time control system elements and the discrete-time state representation was developed for the systems driven by digital-to-analog converter and with sampled system outputs. Various state-variable representations of discrete-time systems originally specified as a transfer function are developed and the state-variable representation of systems that have some discrete-time elements and some continuoustime elements is developed in the context of using it as a simulation tool.
