Continuous-time design of discrete-time control systems
Marian Błachuta
Abstract
Marian Błachuta
Abstract
Two approaches to the synthesis of a discrete-time controller for a continuous-time system are presented and compared. The first one. purely discrete, bases on the discrete-time model of a dynamic system and on a discrete quadratic infinite horizon performance index while the second is based on the continuous-time integral performance index. When the sampling time tends to zero the first solution does not converge to its continuous time prototype whereas the second one does.
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Two approaches to the synthesis of a discrete-time controller for a continuous-time system are presented and compared. The first one. purely discrete, bases on the discrete-time model of a dynamic system and on a discrete quadratic infinite horizon performance index while the second is based on the continuous-time integral performance index. When the sampling time tends to zero the first solution does not converge to its continuous time prototype whereas the second one does.
Key concepts: Discrete time and continuous time, Control theory (sociology), Controller (irrigation), Computer science, Discrete-time stochastic process, Quadratic equation, Sampling (signal processing), Index (typography)