CSD approach to stabilization control and H2 optimal control

Mi-Ching Tsai, Da Wei Gu

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

For a control system under investigation, an important design objective is to find a controller such that the closed-loop system satisfies a set of desired specifications. Furthermore, it is desirable to characterize all such controllers which achieve the required specifications. To accomplish this task, the required specifications can be first formulated into an adequate performance index, and then one can minimize the index to obtain sought controllers. This chapter presents a unified approach for solving a fairly general class of control synthesis problems by employing chain scattering-matrix descriptions and coprime factorizations. In particular, robust stabilization problems and the optimal H2 control will be discussed in this chapter, respectively. The H (sub)optimal control problem can also be solved along the same approach which will be presented in the next chapter.

Original languageEnglish
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Pages211-265
Number of pages55
Edition9781447162568
DOIs
Publication statusPublished - 2014 Jan 1

Publication series

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

Fingerprint

Stabilization
Specifications
Controllers
Factorization
Closed loop systems
Scattering
Control systems

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). CSD approach to stabilization control and H2 optimal control. In Advances in Industrial Control (9781447162568 ed., pp. 211-265). (Advances in Industrial Control; No. 9781447162568). Springer International Publishing. https://doi.org/10.1007/978-1-4471-6257-5_8
Tsai, Mi-Ching ; Gu, Da Wei. / CSD approach to stabilization control and H2 optimal control. Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. pp. 211-265 (Advances in Industrial Control; 9781447162568).
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Tsai, M-C & Gu, DW 2014, CSD approach to stabilization control and H2 optimal control. in Advances in Industrial Control. 9781447162568 edn, Advances in Industrial Control, no. 9781447162568, Springer International Publishing, pp. 211-265. https://doi.org/10.1007/978-1-4471-6257-5_8

CSD approach to stabilization control and H2 optimal control. / Tsai, Mi-Ching; Gu, Da Wei.

Advances in Industrial Control. 9781447162568. ed. Springer International Publishing, 2014. p. 211-265 (Advances in Industrial Control; No. 9781447162568).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Tsai M-C, Gu DW. CSD approach to stabilization control and H2 optimal control. In Advances in Industrial Control. 9781447162568 ed. Springer International Publishing. 2014. p. 211-265. (Advances in Industrial Control; 9781447162568). https://doi.org/10.1007/978-1-4471-6257-5_8