## Abstract

This paper studies, under state feedback policies, the H^{∞} control design for large scale jump linear systems where the form process admits strong and weak interactions. Using averaging and aggregation techniques, an aggregate jump linear system of considerably smaller order has been obtained, along with a corresponding cost function. This reduced-order (aggregate) problem is another piecewise-deterministic H^{∞} control problem, and based on its solution, we obtain the asymptotic limit of the optimal performance level for the full-order system, as well as an approximate controller that asymptotically achieves any desired performance level for the full-order system. A byproduct of this analysis is a similar decomposition for the piecewise-deterministic linear-regulator problem.

Original language | English (US) |
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Pages (from-to) | 2574-2579 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 3 |

State | Published - Dec 1 1995 |

Event | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995 |

## ASJC Scopus subject areas

- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization