### 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 H_{2} 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 language | English |
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Title of host publication | Advances in Industrial Control |

Publisher | Springer International Publishing |

Pages | 211-265 |

Number of pages | 55 |

Edition | 9781447162568 |

DOIs | |

Publication status | Published - 2014 Jan 1 |

### Publication series

Name | Advances in Industrial Control |
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Number | 9781447162568 |

ISSN (Print) | 1430-9491 |

ISSN (Electronic) | 2193-1577 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

_{2}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

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_{2}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 H _{2} optimal control.** / Tsai, Mi-Ching; Gu, Da Wei.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - CSD approach to stabilization control and H2 optimal control

AU - Tsai, Mi-Ching

AU - Gu, Da Wei

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85021051200&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021051200&partnerID=8YFLogxK

U2 - 10.1007/978-1-4471-6257-5_8

DO - 10.1007/978-1-4471-6257-5_8

M3 - Chapter

T3 - Advances in Industrial Control

SP - 211

EP - 265

BT - Advances in Industrial Control

PB - Springer International Publishing

ER -

_{2}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