Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems
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 join...
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my.utem.eprints.104682015-05-28T04:11:15Z http://eprints.utem.edu.my/id/eprint/10468/ Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems Md Saat, Mohd Shakir Nguang, Sing Kiong TK Electrical engineering. Electronics Nuclear engineering 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. Wiley 2013-12 Article PeerReviewed other en http://eprints.utem.edu.my/id/eprint/10468/2/abstract%3FdeniedAccessCustomisedMessage%3D%26userIsAuthenticated%3Dfalse 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 http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1239 |
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TK Electrical engineering. Electronics Nuclear engineering Md Saat, Mohd Shakir Nguang, Sing Kiong Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
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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. |
format |
Article |
author |
Md Saat, Mohd Shakir Nguang, Sing Kiong |
author_facet |
Md Saat, Mohd Shakir Nguang, Sing Kiong |
author_sort |
Md Saat, Mohd Shakir |
title |
Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
title_short |
Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
title_full |
Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
title_fullStr |
Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
title_full_unstemmed |
Nonlinear H infinity output feedback control with integrator for polynomial discrete-time systems |
title_sort |
nonlinear h infinity output feedback control with integrator for polynomial discrete-time systems |
publisher |
Wiley |
publishDate |
2013 |
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http://eprints.utem.edu.my/id/eprint/10468/2/abstract%3FdeniedAccessCustomisedMessage%3D%26userIsAuthenticated%3Dfalse http://eprints.utem.edu.my/id/eprint/10468/ http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1239 |
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13.159267 |