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Optimal Control of Linear Singularly Perturbed Systems via Eigenvalue Assignment | ||
| Control and Optimization in Applied Mathematics | ||
| مقاله 1، دوره 10، شماره 1 - شماره پیاپی 19، شهریور 2025، صفحه 1-17 اصل مقاله (615.2 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2025.73999.1294 | ||
| نویسندگان | ||
| Mehrnoosh Salehi Chegeni؛ Majid Yarahmadi* | ||
| Department of Mathematics and Computer Science, Lorestan University, Lorestan, Iran. | ||
| چکیده | ||
| Optimal control of certain singularly perturbed systems, with slow and fast dynamics, presents notable challenges, including ill-conditioning, high dimensionality, and ill-posed algebraic Riccati equations. In this paper, we introduce a novel inverse optimal control method based on the eigenvalue assignment approach to address these issues. The proposed method optimizes the objective function while ensuring system stability through the strategic placement of eigenvalues in the singular perturbed closed-loop system. To facilitate analysis and support the implementation, a new theorem is proved, and a corresponding algorithm is developed. The proposed algorithm is free of ill-conditioned numerical problems, making it more robust in terms of numerical diffusion and perturbation measurement. Finally, two simulation examples are presented to illustrate the advantages of the proposed method, demonstrating improvement in controller robustness, substantial reductions in cost functions, and decreased control amplitudes. | ||
تازه های تحقیق | ||
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| کلیدواژه‌ها | ||
| Singularly Perturbed Systems؛ Optimal Control؛ Eigenvalue Placement؛ Certainty Matrix | ||
| مراجع | ||
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