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**Decoupling in the design and synthesis of singular systems.**
*(English)*
Zbl 0587.93017

This paper presents necessary and sufficient conditions for decoupling of linear, time-invariant, singular systems. The control law applied is of constant-ratio proportional and derivative state feedback type. It is shown that such a control law presents an invertible transformation which transforms the singular closed loop system to a regular one. In the frequency domain this gives a duality property between regular and generalized transfer functions. Given a system that satisfies the necessary and sufficient conditions, the class of all feedback matrices which decouple the system is characterized. Finally, a synthesis technique is developed for the realization of desired closed loop pole- zero configurations.

### MSC:

93B50 | Synthesis problems |

34A99 | General theory for ordinary differential equations |

93C05 | Linear systems in control theory |

93B55 | Pole and zero placement problems |

93C35 | Multivariable systems, multidimensional control systems |

93C99 | Model systems in control theory |

### Keywords:

necessary and sufficient conditions; decoupling; linear, time-invariant, singular systems; state feedback; synthesis technique
Full Text:
DOI

### References:

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