Guaranteed Cost Control for Uncertain Neutral Systems with a Minimal Order Observer

Erwin Susanto, Junartho Halomoan, Mitsuaki Ishitobi

Abstract


This paper presents a design scheme of a minimal order observer-based guaranteed cost controller for uncertain neutral systems, in which some state variables can not be measured. The uncertainties are assumed to be norm-bounded. The initial state is assumed unknown but their mean and covariance are assumed known. A sufficient condition for robust stability analysis and robust stabilization are derived via linear matrix inequalities (LMIs). To show the advantage of the proposed method, a numerical example is given.

Keywords


guaranteed cost control; uncertain neutral systems; a minimal order observer; linear matrix inequalities (LMIs)

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References


Xu S, Lam J, Yang C, Verriest E.I. An LMI approach to guaranteed cost control for uncertain linear neutral delay systems. International Journal of Robust and Nonlinear Control. 2003; 13(1): 35-53.

Chang S.S.L, Peng T.K.C. Adaptive guaranteed cost control of systems with uncertain parameters. IEEE Trans. on Automatic Contr. 1972; 17(4): 474-483.

Ishitobi M, Tamura T, Susanto E, and Kunimatsu S. An LMI approach to optimal guaranteed cost control of multirate sampling systems. Proceeding of SICE Annual Conference. Nagoya. 2013; 709-714

Susanto E, Tamura R, Ishitobi M and Kunimatsu S. An application of guaranteed cost control to a 3-DOF model helicopter. Proceeding of the 17th International Symposium on artificial Life and Robotics (AROB). Beppu Oita. 2012; 271-274

Susanto E, Ishitobi M, Kunimatsu S, Matsunaga D. A full order observer-based guaranteed cost controller for uncertain linear systems. International Journal of Advanced Mechatronic Systems. 2011; 3(4): 243-250.

Matsunaga D, Ishitobi M, Kunimatsu S. An ILMI approach to guaranteed cost controllers with a minimal order observer. Proceeding of ICROS-SICE International Joint Conference. Fukuoka. 2009; 583-588.

Yu K.W, Lien C.H. Delay-dependent conditions for guaranteed cost observer-based control of uncertain neutral systems with time-varying delays. IMA Journal of Mathematical Control Information. 2007; 24(3):383-394.

El Ghaoui, Oustry F, AitRami M. Cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. on Automatic Contr. 1997; 42(8): 1171-1176.

Susanto E, Ishitobi M, Kunimatsu S, Matsunaga D. A minimal-order observer-based guaranteed cost controller for uncertain time-varying delay systems. IMA Journal of Mathematical Control and Information. 2012; 29(1): 113–132.

Mahmoud M.S. and Zribi, M. Guaranteed cost observer-based control of uncertain time-lag systems. Computers and Electrical Engineering. 2003; 29(1): 193-212.




DOI: http://dx.doi.org/10.12928/telkomnika.v13i2.875

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