Abstract
The design of near-optimal observer-based controllers for singularly perturbed discrete systems is investigated in this work. The near-optimal control is achieved by combining optimal observer-based controls of the relative fast and slow subsystems.The minimum value of the performance index when the near-optimal control is used is O(ε2) close to that of the full-order optimal control. The near-optimal trajectory is O(ε) close to the full-order optimal trajectory. The effect of the singular perturbation parameter ε on the stability problem is also examined. Finally, a twin-engine aircraft model is used to illustrate the theoretic analysis.
