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Sufficient conditions for stabilization of interval uncertain LTI switched systems with unstable subsystems | ||
| 𝕴𝖓𝖙𝖊𝖗𝖓𝖆𝖙𝖎𝖔𝖓𝖆𝖑 𝕵𝖔𝖚𝖗𝖓𝖆𝖑 𝖔𝖋 𝕴𝖓𝖉𝖚𝖘𝖙𝖗𝖎𝖆𝖑 𝕰𝖑𝖊𝖈𝖙𝖗𝖔𝖓𝖎𝖈𝖘, 𝕮𝖔𝖓𝖙𝖗𝖔𝖑 𝖆𝖓𝖉 𝕺𝖕𝖙𝖎𝖒𝖎𝖟𝖆𝖙𝖎𝖔𝖓 | ||
| مقاله 1، دوره 2، شماره 1، بهار 2019، صفحه 1-6 اصل مقاله (427.18 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22111/ieco.2018.24693.1032 | ||
| نویسندگان | ||
Gholamreza Bidari1؛ Naser Pariz   2؛ Ali Karimpour1
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| 1Department of Electrical Engineering, Ferdowsi University of Mashhad, Iran | ||
| 2Ferdowsi University of Mashhad | ||
| چکیده | ||
| This paper investigates the stabilization problem of an autonomous Linear Time Invariant (LTI) switched system with interval uncertainty and unstable subsystems. It is proved that the system would be stable by using a common Lyapanov function whose derivative is negative and bounded by a quadratic function within activation regions of each subsystem. First, a sufficient condition for the stability of an Linear Time Invariant switched system with interval uncertainty, based on the convex analysis and interval set theoretical approach, is presented and proved. Moreover, conservatism in the stability robustness bound is obtained. Then, a switching control law is designed to shift the Linear Time Invariant switched system among subsystems to ensure the decrease of the Lyapanov function within the state space. Finally, in order to decrease the switching frequency and to avoid chattering, the switching law is modified. Two examples are included to demonstrate the effectiveness of the theoretical findings. | ||
| کلیدواژه‌ها | ||
| switched system؛ interval uncertainty؛ stability؛ Lyapanov function؛ unstable subsystems | ||
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آمار تعداد مشاهده مقاله: 469 تعداد دریافت فایل اصل مقاله: 317 |
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