Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems

Md Saat, Mohd Shakir and Nguang, Sing Kiong (2013) Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems. International Journal of Robust and Nonlinear Control. pp. 1-10. ISSN 1099-1239

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Abstract

This paper investigates the problem of designing a nonlinear H1 output feedback controller for a class of polynomial discrete-time systems. In general, this problem is hard to be formulated in a convex form because the relation between the control input and the Lyapunov function is always not jointly convex. Therefore, the problem cannot be solved via semidefinite programming (SDP). On the basis of the sum of squares (SOS) approach and incorporation of an integrator into the controller, sufficient conditions for the existence of a nonlinear H infinity output feedback controller are given in terms of SOS conditions, which can be solved by an SDP solver. In contrast to the existing methods, a less conservative result is obtained. Finally, numerical examples are used to demonstrate the validity of this integrator approach.

Item Type:	Article
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions:	Faculty of Electronics and Computer Engineering > Department of Industrial Electronics
Depositing User:	DR. Mohd Shakir Md Saat
Date Deposited:	06 Feb 2014 06:26
Last Modified:	28 May 2015 04:11
URI:	http://eprints.utem.edu.my/id/eprint/10468
Statistic Details:	View Download Statistic

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