### Abstract

This paper introduces the definition of the nonstandard linear discrete-time singularly perturbed system and shows how to solve the corresponding linear-quadratic optimal control problem since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete linear-quadratic optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the optimal control problem is obtained in terms of the pure-slow and pure-fast, reduced-order, continuous-time, algebraic Riccati equations.

Original language | English |
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Pages (from-to) | 2329-2334 |

Number of pages | 6 |

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

Volume | 3 |

Publication status | Published - 2000 |

Event | 39th IEEE Confernce on Decision and Control - Sysdney, NSW, Australia Duration: 2000 Dec 12 → 2000 Dec 15 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

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## Cite this

Lim, M. T., & Kim, B. S. (2000). Optimal control of linear nonstandard singularly perturbed discrete systems.

*Proceedings of the IEEE Conference on Decision and Control*,*3*, 2329-2334.