Chain scattering descriptions

Mi-Ching Tsai, Da Wei Gu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The chain scattering-matrix description (CSD) of a two-port network, first introduced in Chap. 2, originated from the conventional electrical circuit theory. In contrast to the LFT, the CSD developed in the network circuits provides a straightforward interconnection in a cascaded way. The CSD can transform an LFT into a two-port network connection and vice versa. Thus, many known results which have been developed for a two-port network can then be used in control system analysis and synthesis. Due to its benefits of describing a linear system, the CSD was later extended to the design of robust control systems [1, 2], where different structures of the CSD were investigated. In this chapter, the CSD will be formally defined and explored for transformations and the descriptions of state-space realizations. The J-lossless and dual J-lossless systems are defined in this chapter. J-lossless and dual J-lossless both play an important role in the CSD control system manipulations, analysis, and synthesis. In particular, the properties of J-lossless and dual J-lossless are essential in synthesizing H (sub)optimal controllers using the CSD approach.

Original languageEnglish
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Pages99-143
Number of pages45
Edition9781447162568
DOIs
Publication statusPublished - 2014 Jan 1

Publication series

NameAdvances in Industrial Control
Number9781447162568
ISSN (Print)1430-9491
ISSN (Electronic)2193-1577

Fingerprint

Scattering
Control system synthesis
Control system analysis
Control systems
Circuit theory
Robust control
Linear systems
Controllers
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Industrial and Manufacturing Engineering

Cite this

Tsai, M-C., & Gu, D. W. (2014). Chain scattering descriptions. In Advances in Industrial Control (9781447162568 ed., pp. 99-143). (Advances in Industrial Control; No. 9781447162568). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6257-5_5
Tsai, Mi-Ching ; Gu, Da Wei. / Chain scattering descriptions. Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. pp. 99-143 (Advances in Industrial Control; 9781447162568).
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Tsai, M-C & Gu, DW 2014, Chain scattering descriptions. in Advances in Industrial Control. 9781447162568 edn, Advances in Industrial Control, no. 9781447162568, Springer International Publishing, pp. 99-143. https://doi.org/10.1007/978-1-4471-6257-5_5

Chain scattering descriptions. / Tsai, Mi-Ching; Gu, Da Wei.

Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. p. 99-143 (Advances in Industrial Control; No. 9781447162568).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Tsai M-C, Gu DW. Chain scattering descriptions. In Advances in Industrial Control. 9781447162568 ed. Springer International Publishing. 2014. p. 99-143. (Advances in Industrial Control; 9781447162568). https://doi.org/10.1007/978-1-4471-6257-5_5