Abstract
The linear discrete-time polynomial optimal feedback control laws are typically obtained via simultaneous solution of two Diophantine equations. In the present work, a number-theory based technique is introduced that permits reduction of the polynomial controller synthesis procedures for the single-input-single-output (SISO) H2 and H∞ regulation and tracking control problems with a classical feedback structure and plants with arbitrary stability properties to solving a single Diophantine equation. The technique proposed is also used to reduce the solution of the multi-input-multi-output (MIMO) generalized H∞ control problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 676-681 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| State | Published - 2001 |
| Externally published | Yes |
| Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: Dec 4 2001 → Dec 7 2001 |
ASJC Scopus subject areas
- Control and Optimization
- Control and Systems Engineering
- Modeling and Simulation