Nice-reachability results for discrete-time linear switched systems with applications to stability under arbitrary switching laws

Tal Monovich Wahrmann, Michael Margaliot

نتاج البحث: نشر في مجلةمقالة من مؤنمرمراجعة النظراء

ملخص

A powerful approach for analyzing the stability under arbitrary switching of continuous-time switched systems is based on analyzing stability for the 'most unstable' switching law. This approach has been successfully applied to derive nice-reachability-type results for both linear and nonlinear continuous-time switched systems. We develop an analogous approach for discrete-time linear switched systems. We first prove a necessary condition for the 'most unstable' switching law in the form of a discrete-time maximum principle (MP). This MP is in fact weaker than its continuous-time counterpart. To overcome this, we introduce the auxiliary system of a discrete-time linear switched system, and show that regularity properties of time-optimal controls (TOCs) for the auxiliary system imply nice-reachability results for the original discrete-time linear switched system. We derive several new Liealgebraic conditions guaranteeing nice-reachability results. These results, and their proofs, turn out to be quite different from their continuous-time counterparts.

اللغة الأصليةالإنجليزيّة
رقم المقال6426723
الصفحات (من إلى)693-698
عدد الصفحات6
دوريةProceedings of the IEEE Conference on Decision and Control
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2012
الحدث51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, الولايات المتّحدة
المدة: ١٠ ديسمبر ٢٠١٢١٣ ديسمبر ٢٠١٢

All Science Journal Classification (ASJC) codes

  • !!Control and Systems Engineering
  • !!Modeling and Simulation
  • !!Control and Optimization

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