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Stability Analysis of Discrete-time Switched Linear Systems with Parametric Uncertainties | ||
| 𝕴𝖓𝖙𝖊𝖗𝖓𝖆𝖙𝖎𝖔𝖓𝖆𝖑 𝕵𝖔𝖚𝖗𝖓𝖆𝖑 𝖔𝖋 𝕴𝖓𝖉𝖚𝖘𝖙𝖗𝖎𝖆𝖑 𝕰𝖑𝖊𝖈𝖙𝖗𝖔𝖓𝖎𝖈𝖘, 𝕮𝖔𝖓𝖙𝖗𝖔𝖑 𝖆𝖓𝖉 𝕺𝖕𝖙𝖎𝖒𝖎𝖟𝖆𝖙𝖎𝖔𝖓 | ||
| مقاله 8، دوره 2، شماره 3، پاییز 2019، صفحه 239-246 اصل مقاله (595.22 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22111/ieco.2019.27753.1110 | ||
| نویسندگان | ||
Mohamad Hosein Shafiei  ؛ Nasrollah Azam Baleghi
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| Shiraz university of technology | ||
| چکیده | ||
| This paper considers the stability problem of discrete-time switched linear systems in the presence of parametric uncertainties. Parametric uncertainty is sometimes called structured uncertainty because of the structure of the model is known, but some of the parameters are uncertain. From the practical viewpoint, it is important to investigate the robust stability conditions of uncertain switched systems. Therefore, under the assumption of knowing the structure of the uncertainty matrix and based on the common Lyapunov function for the nominal switched system, sufficient conditions for robust exponential stability of the discrete-time uncertain switched system (under any switching signal) are derived. Sufficient conditions are formulated in terms of matrix inequalities for fixed values of some parameters which may be solved via LMI techniques based on numerical methods. Moreover, a procedure is proposed to determine the maximum admissible bounds of the uncertain parameters which characterize the exponential stability of the uncertain switched system. Finally, numerical examples are provided to verify the theoretical results. | ||
| کلیدواژه‌ها | ||
| Discrete-time switched systems؛ parametric uncertainties؛ exponential stability؛ LMI | ||
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آمار تعداد مشاهده مقاله: 487 تعداد دریافت فایل اصل مقاله: 137 |
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