On observer-based control of one-sided Lipschitz systems

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• 作者：Sohaira Ahmad ^{sohaahmad64@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Muhammad Rehan ; ^{rehanqau@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Journal of The Franklin Institute
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：353
• 期：4
• 页码：903-916
• 全文大小：338 K

文摘

This paper describes the novel observer-based controller design for the one-sided Lipschitz nonlinear systems. An observer-based controller design condition is obtained by application of the Lyapunov theory, by involving the one-sided Lipschitz condition and quadratic inner-boundedness criterion, and by incorporating the matrix inequality procedures. Further, a decoupling condition, necessary and sufficient for the main design approach, is developed to determine the controller and observer gains. Furthermore, two design conditions, a computationally simple sufficient condition and a more generic necessary and sufficient condition, based on the existing and the novel treatments for the one-sided Lipchitz nonlinearity are evaluated to obtain the observer-based control solution. An algorithm for solving the proposed design constraints by combining a nested bilinear-terms-solver approach and a nonlinear-optimization-based cone complementary linearization method is provided. The effectiveness of the proposed observer-based controller design for the one-sided Lipschitz nonlinear systems is demonstrated using a numerical example.