Abstract
This paper proposes a new methodology to design sub-optimal controllers for singularly perturbed systems. The controller is given in terms of the solution of a set of inequalities. An algorithm is given to solve those inequalities through LMI (Linear Matrix Inequality) formulation. An example exhibits that the results are very close to the exact optimal solutions. The main features of this approach are that it takes advantage of LMI to deal with singularly perturbed systems with less conservativeness and can be extended to other robust and multi-objective control problems for singularly perturbed systems. In addition, it is suitable for both standard and nonstandard singularly perturbed systems.
| Original language | English |
|---|---|
| Pages (from-to) | 3698-3703 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 4 |
| Publication status | Published - 2001 |
| Externally published | Yes |
| Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 4 Dec 2001 → 7 Dec 2001 |
Keywords
- LMI
- LQ control
- Singularly perturbed systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization