article · Transactions of the Society of Instrument and Control Engineers · 1988
Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm
Tsutomu Nohara, Shigeyuki Hosoe, Masami Itō
Cited by 0Open access
Abstract
In this paper a method for constructing a reduced order model retaining the internal structure of original high order cascade and feedback structured systems is derived by Mullis-Roberts algorithm.A reduced order model obtained here is the optimal approximation in the sense that it minimizes the curvilinear integral of the squared norm of an approximation error at the unit circle of z plane. The algorithm for obtaining the reduced order models are described.One feature of the proposed algorithm is that it is possible to compute reduced order models of each subsystem independently. The stability of the reduced order model is not always guaranteed. However, the rusults of numerical computations showed that the reduced order systems remain stable for almost all randomly selected examples and approximate the input-output behavior of original systems fairly well.
Cite this paper
Nohara, T., Hosoe, S., & Itō, M. (1988). Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm. Transactions of the Society of Instrument and Control Engineers, 24(6), 589–595. https://doi.org/10.9746/sicetr1965.24.589
Nohara, Tsutomu, et al. “Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm.” Transactions of the Society of Instrument and Control Engineers, vol. 24, no. 6, 1988, pp. 589–95, https://doi.org/10.9746/sicetr1965.24.589.
Nohara, Tsutomu, Shigeyuki Hosoe, and Masami Itō. 1988. “Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm.” Transactions of the Society of Instrument and Control Engineers 24 (6): 589–95. https://doi.org/10.9746/sicetr1965.24.589.
Nohara, T., Hosoe, S. and Itō, M. (1988) ‘Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm’, Transactions of the Society of Instrument and Control Engineers, 24(6), pp. 589–595. Available at: https://doi.org/10.9746/sicetr1965.24.589.
@article{nohara1988approximation,
title = {{Approximation of Cascade and Feedback Structured Systems by Mullis-Roberts Algorithm}},
author = {Nohara, Tsutomu and Hosoe, Shigeyuki and Itō, Masami},
journal = {Transactions of the Society of Instrument and Control Engineers},
volume = {24},
number = {6},
pages = {589--595},
year = {1988},
doi = {10.9746/sicetr1965.24.589}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.