Numerical computations on feedback control and state estimation of the Kuramoto-Sivashinsky equation
College
College of Science
Department/Unit
Mathematics and Statistics Department
Document Type
Conference Proceeding
Source Title
Proceedings of the 5th Asian Mathematical Conference
Publication Date
2009
Abstract
Numerical computations are performed on linear and nonlinear feedback control and state estimation strategies for minimizing the fluctuations of the Kuramoto-Sivashinsky equation. The methodologies are based on the LQR/LQG theory and their extension to nonlinear problems. The optimal placements of sensors and actuators are first determined. The performance of the control and state estimation methods are then successfully tested using computer simulations. The obtained results indicate that the control and state estimation strategy both based only on the linear system is as good as the nonlinear methods implemented.
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Recommended Citation
Lampayan, V. L., Arellano, C. L., Lope, J. C., & del Rosario, R. C. (2009). Numerical computations on feedback control and state estimation of the Kuramoto-Sivashinsky equation. Proceedings of the 5th Asian Mathematical Conference Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/7568
Disciplines
Mathematics
Keywords
Feedback control systems; Differential equations, Partial
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