CATATAN TENTANG PERSAMAAN LYAPUNOV DAN PERSAMAAN ALJABAR RICCATI

Subiono Subiono

Abstract


Dalam paper ini dibahas dua bentuk persamaan yang hampir mi-
rip yaitu persamaan Lyapunov dan persamaan aljabar Riccati. Selanjutnya diberikan beberapa catatan dari kedua persamaan tersebut yang masing-masing erat kaitannya dengan masalah kontrol optimal ”Linier Quadratic Regulator” (LQR) sistem linier loop-buka dan sistem linier loop-tutup.


Keywords


LQR; sistem linier loop-buka; sistem linier loop-tutup

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References


M. Gopal, ”Modern Control System Theory”, Wiley Eastern Limited, (1984).

Leslie M. Hocking, ”Optimal Control An Introduction to the Theory

with Applications”, Clarendon Press-Oxford, (1991).

Frank L. Lewis, ”Applied Optimal Control and Estimation”, PrenticeHall International, Inc., (1992).

Bernard Friedland, ”Control System Design An Introduction to StateSpace Methods”, McGraw-Hill International Editions, (1987).

M.R. Spiegel, ”Theory and Problems of Advanced Mathematics for Engineer and Scientists”, Schaumm's Outline Series, McGraw-Hill International Book Company, Singapore, (1983).




DOI: http://dx.doi.org/10.12962/j1829605X.v4i2.1415

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Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/limits.