Analisis Sistem Kendali Kokoh pada Sistem Non Linier dengan Pendekatan Pertidaksamaan Matriks Non Linier
DOI:
https://doi.org/10.26874/jt.vol1no2.204Keywords:
Kendali Kokoh, Kendali H∞, non linier, Pertidaksamaan Matriks Non Linier, Karakterisasi Konveks, Kondisi pemecahanAbstract
This paper proposes about robust control systems analysis for a class of nonlinear systems using nonlinear matrix inequalities approach. Robustness corresponds with appropriately disturbance suppression. Controller that renders robustness property of the system is developed with solving solvability condition in advance. Such condition is described by three nonlinear matrix inequalities. Computational aspect is considered to solve these matrix inequalities.
References
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(18) Maciejowski, J.M., 1989, “Multivariable Feedback — Designâ€, Addison-Wesley, Wokingham, England.
(19) Najmurrokhman, A, 2000, “Sintesis Kendali Disipatif Untuk Sistem Non Linier Dengan Pendekatan Pertidaksamaan Matriks Non Linierâ€, Tesis Magister.
(20) Najmurrokhman, A., 2001, “Sintesis Kendali H∞ Untuk Sistem Linierâ€, Majalah Kopertis “Wawasan Tridharma†No. 5 Tahun XIV, Pebruari 2001.
(21) Najmurrokhman, A., 2002a, “Karakterisasi Konveks Melalui Pertidaksamaan Matriks Non Linier Pada Analisis Stabilitas Kendali H∞ Untuk Sistem Non Linierâ€, Jurnal Fakultas Teknik Unjani No. 1 Tahun I Mei 2002.
(22) Najmurrokhman, A, 2002b, “Analisis dan Sintesis Kendali H∞ Untuk Sistem Non Linier Dengan Pendekatan Pertidaksamaan Matriks Non Linierâ€, Proceeding of Seminar on Intelligent Technology and Its Application (SITIA2002), May 2002.
(23) Najmurrokhman, A., 2002c, “Laporan Kemajuan (Progress Report) Penelitianâ€, LPPM UNJANI.
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(26) Yuliar, S., 1996, “Dissipative Systems Theory: Analysis and Synthesisâ€, Disertasi Doktor, Australian National University Canberra, Australia
(2) Ball, J.A., Helton, J.W., and Walker, M.L., 1993, “H∞ Control for Nonlinear Systems with Output Feedbackâ€, IEEE Trans. Automatic Control, AC-4 vol. 38, 546-559.
(3) Bambang, R.T., Najmurrokhman, A., and Yuliar, S., 2000, “Dissipative Control for A Class of Nonlinear Systems Using State-Dependent LMTâ€, Proc. of 19" JASTED Conf. Modeling, Identification and Control, Austria.
(4) Bambang, R.T., 1999, “Dissipative Control of Linear Parametrically Varying Systems Using Output Feedback: An LMI Approachâ€, Proc. of 18" JIASTED Conf. Modeling, Identification and Control, Austria.
(5) Boyd, S. et. al, 1994, “Linear Matrix Inequality in System and Control Theoryâ€, SIAM Series vol. 15, Philadelphia, USA.
(6) Dailey, R., 1995, “Robust Controlâ€, makalah dalam Workshop Tutorial: Modern Control Systems (editor: Karl John Astrom, et. al.)
(7) Desoer, C.A. and Vidyasagar, M., 1975, “Feedback Systems : Input-Output Propertiesâ€, Academic, New York, USA.
(8) Doyle, J.C. et. al, 1989, “State-Space Solutions to Standard H2 and H∞, Control Problemsâ€, IEEE Trans. AC vol. AC-34, 831 — 847.
(9) El Ghaoui, L., et. al, 2000, “Advances in Linear Matrix Inequality Methods in Controlâ€, SIAM Series, Philadelphia, USA.
(10) Gahinet, P. et. al, 1995, “LMI Control Toolboxâ€, Mathworks Inc., Natick, MA. USA.
(11) Gahinet, P. and Apkarian, P., 1994, “A Linear Matrix Inequality Approach to H∞ Controlâ€, Int. Journal of Robust and Non-Linear Control vol. 4, 421-448.
(12) Green, M. and Limebeer, D.J.N., 1995, “Linear Robust Controlâ€, Prentice-Hall Englewood Cliffs, New Jersey, USA.
(13) Gupta, S., 1996, “Robust Stabilization of Uncertain Systems Based on Energy Dissipation Conceptsâ€, NASA Contractor Paper 4713.
(14) Hill, D.J. and Moylan, P.J., 1976, “Stability of Nonlinear Dissipative Systemsâ€, IEEE Trans. Automatic Control, AC-5, 708-711.
(15) Isidori, AA. and Astolfi, A., 1992, â€Disturbance Attenuation and H∞ Control via Measurement Feedback in Nonlinear Systemsâ€, IEEE Trans. Automatic Control, AC-9 vol. 37, 1283-1293.
(16) Kang, W., 1995, “Nonlinear H∞ Control and its Application to Rigid Aircraftâ€, IEEE Trans. Automatic Control, AC-7 vol. 40, 1281-1285.
(17) Lu, W.M. and J.C. Doyle, 1995, “H∞ Control of Non-Linear Systems: A Convex Characterizationâ€, IEEE Trans. AC vol. AC-40, 1668 — 1675.
(18) Maciejowski, J.M., 1989, “Multivariable Feedback — Designâ€, Addison-Wesley, Wokingham, England.
(19) Najmurrokhman, A, 2000, “Sintesis Kendali Disipatif Untuk Sistem Non Linier Dengan Pendekatan Pertidaksamaan Matriks Non Linierâ€, Tesis Magister.
(20) Najmurrokhman, A., 2001, “Sintesis Kendali H∞ Untuk Sistem Linierâ€, Majalah Kopertis “Wawasan Tridharma†No. 5 Tahun XIV, Pebruari 2001.
(21) Najmurrokhman, A., 2002a, “Karakterisasi Konveks Melalui Pertidaksamaan Matriks Non Linier Pada Analisis Stabilitas Kendali H∞ Untuk Sistem Non Linierâ€, Jurnal Fakultas Teknik Unjani No. 1 Tahun I Mei 2002.
(22) Najmurrokhman, A, 2002b, “Analisis dan Sintesis Kendali H∞ Untuk Sistem Non Linier Dengan Pendekatan Pertidaksamaan Matriks Non Linierâ€, Proceeding of Seminar on Intelligent Technology and Its Application (SITIA2002), May 2002.
(23) Najmurrokhman, A., 2002c, “Laporan Kemajuan (Progress Report) Penelitianâ€, LPPM UNJANI.
(24) van der Schaft, AJJ., 1992, “L2-Gain Analysis of Non-linear Systems and Non-Linear State Feedback H∞ -Controlâ€, IEEE Trans. AC vol. AC-37, 770 — 784.
(25) van der Schaft, A.J., 1993, “Nonlinear State-Space H∞ -Control Theoryâ€, makalah dalam buku Essay on Control: Perspectives in The Theory and its Applications (eds. H.L. Trentelman and J.C. Willems), Birkhauser.
(26) Yuliar, S., 1996, “Dissipative Systems Theory: Analysis and Synthesisâ€, Disertasi Doktor, Australian National University Canberra, Australia
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2002-10-31
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How to Cite
Analisis Sistem Kendali Kokoh pada Sistem Non Linier dengan Pendekatan Pertidaksamaan Matriks Non Linier. (2002). Jurnal Teknik: Media Pengembangan Ilmu Dan Aplikasi Teknik, 1(2), 89-98. https://doi.org/10.26874/jt.vol1no2.204
