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 |
|---|---|
| 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