Input-to-error stable observer for nonlinear sampled-data systems with application to one-sided Lipschitz systems

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• 作者：Hossein Beikzadeh ^{beikzade@ualberta.ca" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Horacio J. Marquez¹ ; ^{hmarquez@ualberta.ca" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Sampled-data ISS observer ; Nonlinear systems ; One-sided Lipschitz property ; Linear matrix inequality (LMI)
• 刊名：Automatica
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：67
• 期：Complete
• 页码：1-7
• 全文大小：536 K

文摘

In this paper the design of sampled-data state observers for nonlinear plants is investigated under the effect of system and measurement disturbance signals. We establish general design principles using the standard approaches of (i) direct discrete-time design via approximation and (ii) discretization of a continuous-time observer (emulation). By interpreting the disturbances as exogenous inputs affecting the error dynamics, sufficient conditions are derived which ensure the input-to-state stability (ISS) of the observer error system in a semiglobal practical sense for the unknown exact discrete-time model. Next, we focus on systems whose vector fields are one-sided Lipschitz to develop constructive design techniques via linear matrix inequalities (LMIs). Numerical simulations of an academic example and a chaotic attractor corroborate the effectiveness of the proposed sampled-data estimators.