## 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 |

## All Science Journal Classification (ASJC) codes

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

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