### Abstract

A modified State-Dependent Riccati Equation method is used which takes into account future variations in the system model dynamics. The system in the state dependent coefficient form, together with the prediction of the future trajectory, may be considered to be approximated by known time-varying system. For such a system the optimal control solution may be obtained for a discrete time system by solving the Riccati Difference Equation. The minimisation of the cost function for a predicted time-varying system is achieved by considering the prediction horizon as a combination of infinite and finite horizon parts. The infinite part is minimised by solving the Algebraic Riccati Equation and the finite part by the Riccati Difference Equation. The number of future prediction steps depends upon the problem and is a fixed variable chosen during the controller design. A comparison of results is provided with other design methods, which indicates that there is considerable potential for the technique.

Original language | English |
---|---|

Title of host publication | Proceedings of the 2004 American Control Conference |

Place of Publication | New York |

Publisher | IEEE |

Pages | 1563-1568 |

Number of pages | 6 |

ISBN (Print) | 0780383354 |

Publication status | Published - Jun 2004 |

Event | American Control Conference 2004 - Boston, United States Duration: 30 Jun 2004 → 2 Jul 2004 |

### Publication series

Name | Proceedings of the American Control Conference |
---|---|

Publisher | IEEE |

ISSN (Print) | 0743-1619 |

### Conference

Conference | American Control Conference 2004 |
---|---|

Country | United States |

City | Boston |

Period | 30/06/04 → 2/07/04 |

### Keywords

- state-dependent
- riccati equation control
- predicted trajectory
- riccati equations
- time-varying systems
- optimal control
- minimisation
- infinite horizon
- discrete time systems
- difference equations
- control system synthesis

## Cite this

Dutka, A., & Grimble, M. J. (2004). State-dependent Riccati equation control with predicted trajectory. In

*Proceedings of the 2004 American Control Conference*(pp. 1563-1568). (Proceedings of the American Control Conference). IEEE.