When a state variable description of a linear system is known, then its input–output behavior can be easily realized by interconnecting simpler components. The problem of realization is the inverse of this process and can be formulated as follows: given an input–output description, such as the impulse response or the transfer function in the case of time-invariant systems, find a state variable description the impulse response or transfer function of which is the given one. Existence and minimality conditions are discussed. We are interested in realizations of minimum order, which is the case when the realization is both reachable and observable. Realizations for both continuous-time and discrete-time systems are discussed.
Antsaklis, P.j., Astolfi, A. (2021). Realizations in Linear Systems Theory. In T.S. John Baillieul (a cura di), Encyclopedia of Systems and Control (pp. 1822-1827). Springer [10.1007/978-3-030-44184-5_193].
Realizations in Linear Systems Theory
Astolfi, Alessandro
2021-08-01
Abstract
When a state variable description of a linear system is known, then its input–output behavior can be easily realized by interconnecting simpler components. The problem of realization is the inverse of this process and can be formulated as follows: given an input–output description, such as the impulse response or the transfer function in the case of time-invariant systems, find a state variable description the impulse response or transfer function of which is the given one. Existence and minimality conditions are discussed. We are interested in realizations of minimum order, which is the case when the realization is both reachable and observable. Realizations for both continuous-time and discrete-time systems are discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
