Mullis–Roberts–type approximation for continuous–time linear systems

摘要: As lower-order approximation methods for discrete-time linear systems, Mullis and Roberts have proposed two methods: the so-called modified least-square (MLSA), interpolatory (IA). The characteristics of were investigated considering their relationships. In this paper, a method continuous-time systems is presented in form corresponding to MLSA, with its property, algorithm state-space representation discussed correspondence case. can also be regarded as IA, thus called Mullis-Roberts-type (CMRA). latter half paper presents formulation limiting case (as sampling time 0) from one systems. Thus it shown that CMRA obtained common limit MLSA LA, thereby providing physical interpretation formal between MLSA/IA.