Singularly perturbed optimal tracking problem. (English. Russian original) Zbl 07891415
Differ. Equ. 60, No. 4, 533-549 (2024); translation from Differ. Uravn. 60, No. 4, 561-576 (2024).
Tracking problems are considered for finite-dimensional linear control systems with singular perturbations. A decomposition method is introduced to simplify the analysis. A suboptimal control law is constructed and the corresponding error in the cost functional is estimated. An example is presented.
Reviewer: Tullio Zolezzi (Genova)
MSC:
| 49K40 | Sensitivity, stability, well-posedness |
| 93C70 | Time-scale analysis and singular perturbations in control/observation systems |
| 49N05 | Linear optimal control problems |
Keywords:
optimal tracking problem; singular perturbation; integral manifold; decomposition; finite-dimensional linear control systemsReferences:
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