### Abstract

Consider a linear system $\Sigma$ that, apart from a control input and a measurement output, has two exogenous inputs and two exogenous outputs. Controlling such a system by means of a measurement feedback compensator $\Sigma_c$ results in a closed loop system with two inputs and two outputs. Hence, the closed loop transfer matrix can be partitioned as a two by two block matrix.
The problem addressed in this paper consists of the following.
Given $\Sigma$ and any positive number e, is it possible to find $\Sigma_c$ such that the off-diagonal blocks of the closed loop transfer matrix, in a suitable norm, are smaller than e?
For the solvability of this problem necessary and sufficient conditions will be derived.
Keywords & Phrases: Almost non interacting control, measurement feedback, common solution to a pair of linear matrix equations.

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Number of pages | 14 |

Publication status | Published - 1986 |

### Publication series

Name | Memorandum COSOR |
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Volume | 8616 |

ISSN (Print) | 0926-4493 |

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## Cite this

Woude, van der, J. W. (1986).

*Almost non interacting control by measurement feedback*. (Memorandum COSOR; Vol. 8616). Technische Universiteit Eindhoven.