DESIGN OF ROBUST OBSERVER-BASED CONTROLLERS FOR LPV SYSTEMS WITH UNCERTAINTY

DESIGN OF ROBUST OBSERVER-BASED CONTROLLERS FOR LPV SYSTEMS WITH UNCERTAINTY. Masters thesis, King Fahd University of Petroleum and Minerals.

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Arabic Abstract

التحكم المراقب القوي مهم جدا لاستقرار الانظمة الغيرمؤكدة(الغامضة)ولهذااصبح محور الكثير من الابحاث في السنوات الاخيرة. في هذه الاطروحه تم تطوير منهجية جديدة لتصميم التحكم المراقب القوي للانظمة الغامضة الخطير المتغيرة مع الزمن معلماتها للزمن المستمر والمنفصل. تم التصميم بالعتماد على نظرية ليبانوف وبالاستثمال المحدب convex optimiztion

English Abstract

The robust observer based control is very important for stabilization of uncertain systems and has became a focus of much research in recent years. New methodology of design robust observer-based control of continuous and discrete time systems for linear parameter varying(LPV) system with uncertain parameters is developed. The design based on lyapunov system theory and convex optimization approach.The parameters of the system are limited to given convex bounded so that the LPV system called polytopic. All cases of design will be formulated in terms of Linear Matrix Inequality (LMIs) which can be solved efficiently. The LMI approach is developed to construct linear full-order observer to guarantee the feedback-controlled system is exponentially stabilizable by the linear observer-based control. The new methodology developed will estimate the controller state feedback and gain observer together. During the developments, the design will be formulated as Bilinear Matrix Inequality(BMI) which are not convex have to be converted to LMIs. Two different methods are suggested to solve BMIs. Finally, the numerical examples including the LPV longitudinal model of helicopter are given to demonstrate the use of our results. The result of development showed that observer stabilizes the system and it is convergence. Keywords observer based control,linear parameter varying(LPV), Lyapunov function, Linear Matrix Inequality(LMI)

Item Type: Thesis (Masters)
Subjects: Engineering
Electrical
Department: College of Engineering and Physics > Electrical Engineering
Committee Advisor: Ibrir, Salim
Committee Members: Kassas, Mahmoud and Masoud, Ahmed
Depositing User: MUHAMMAD AL-SUWAII (g199417640)
Date Deposited: 24 Feb 2016 04:40
Last Modified: 01 Nov 2019 16:31
URI: http://eprints.kfupm.edu.sa/id/eprint/139818