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.
JSME international journal. Ser. 1, Solid mechanics, strength of materials
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering