### Abstract

The mathematically dual concepts of (A,B) and (C,A)-invariance play an important role in the geometric theory of linear time invariant (LTI) systems. These concepts were used to study some fundamental problems of LTI control theory, such as disturbance decoupling (DDP), unknown input observer design, fault detection (FPRG). The nonlinear version of this geometrical approach is much more complex and deals with certain locally controlled or conditioned invariant distributions and codistributions. The aim of the chapter is to present an extension of these notions for the parameter-varying systems by introducing the notion of parameter varying (A,B)-invariant, parameter-varying (C,A)-invariant, controllability and unobservability subspaces, and to give some algorithms to compute these subspaces if certain conditions are fulfilled.

Original language | English |
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Title of host publication | Robust Control and Linear Parameter Varying Approaches |

Subtitle of host publication | Application to Vehicle Dynamics |

Pages | 25-53 |

Number of pages | 29 |

DOIs | |

Publication status | Published - Mar 14 2013 |

Event | 32nd International Summer School in Automatic - Grenoble, France Duration: Sep 12 2011 → Sep 16 2011 |

### Publication series

Name | Lecture Notes in Control and Information Sciences |
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Volume | 437 LNCIS |

ISSN (Print) | 0170-8643 |

### Other

Other | 32nd International Summer School in Automatic |
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Country | France |

City | Grenoble |

Period | 9/12/11 → 9/16/11 |

### Fingerprint

### ASJC Scopus subject areas

- Library and Information Sciences

### Cite this

*Robust Control and Linear Parameter Varying Approaches: Application to Vehicle Dynamics*(pp. 25-53). (Lecture Notes in Control and Information Sciences; Vol. 437 LNCIS). https://doi.org/10.1007/978-3-642-36110-4_2