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Robust switching law design for uncertain time-delay switched linear systems | ||
| Control and Optimization in Applied Mathematics | ||
| دوره 4، شماره 2، فروردین 2019، صفحه 1-19 اصل مقاله (458.03 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2020.54034.1143 | ||
| نویسندگان | ||
| Mohamad Reza Ramezani-al* 1؛ Samira Sabeti2 | ||
| 1Quchan university of technology, Quchan, Electrical and Computer Engineering | ||
| 2Department of Mathematics, Ferdowsi University of Mashhad, Mashhad | ||
| چکیده | ||
| Guaranteed cost control (GCC) is an impressive method of controlling nonlinear systems, incredibly uncertain switched systems. Most of the recent studies of GCC on uncertain switched linear systems have been concerned with asymptotic stability analysis. In this paper, a new robust switching law for time-delay uncertain switched linear systems is designed. First, the switching law is designed, and second, a state-feedback controller based on Lyapunov-Krasovskii Functional (LKF) is designed. Also, using Linear Matrix Inequality (LMI) particular condition for the existence of a solution of obtained switching law and controller is achieved. Consequently, in the presented theorems, the exponential stability of the overall system under switching law and controller is analyzed. Finally, theoretical results are verified via presenting an example. | ||
| کلیدواژه‌ها | ||
| Uncertain switched linear systems؛ Time-delay؛ Guaranteed cost control؛ LKF؛ LMI؛ Exponential stability | ||
| عنوان مقاله [English] | ||
| طراحی یک قانون کلیدزنی مقاوم برای سیستم‌های کلیدزنی خطی دارای عدم قطعیت و تاخیر زمانی | ||
| نویسندگان [English] | ||
| محمدرضا رمضانی آل1؛ سمیرا ثابتی2 | ||
| 1عضو هیئت علمی گروه مهندسی برق دانشگاه صنعتی قوچان | ||
| 2دانشکده ریاضی دانشگاه فردوسی مشهد. | ||
| چکیده [English] | ||
| کنترل هزینه تضمینی یکی از روش‌های موثر در کنترل سیستم‌های غیرخطی به ویژه سیستم‌های کلیدزنی دارای عدم قطعیت است. بسیاری از تحقیقات اخیر در مسیله کنترل هزینه تضمینی سیستم‌های کلیدزنی دارای عدم قطعیت بر روی تحلیل پایداری مجانبی تمرکزیافته است. در این مقاله یک قانون سوییچ مقاوم جدید برای کنترل سیستم‌های کلیدزنی دارای عدم قطعیت و تاخیر زمانی ارایه می‌شود. در ابتدا قانون کلیدزنی و سپس کنترل کننده فیدبک حالت خطی بر اساس تابع لیاپانوف-کراسوفسکی طراحی می‌گردد. همچنین با استفاده از نامساوی‌های خطی ماتریسی، شرایط ویژه برای وجود جواب در قانون کلیدزنی و کنترل کننده خطی به دست می‌آید. همزمان و بر اساس قضایای ارایه شده، پایداری نمایی کل سیستم تحت اعمال قانون کلیدزنی و کنترل فیدبک حالت تحلیل و اثبات می‌گردد. در انتها و با شبیه‌سازی، نتایج تحلیلی پایداری نمایی نشان داده می‌شوند. | ||
| کلیدواژه‌ها [English] | ||
| سیستم‌های کلیدزنی دارای عدم قطعیت, تاخیر زمانی, کنترل هزینه تضمینی, تابع لیاپانوف-کراسوفسکی, نامساوی خطی ماتریسی, پایداری نمایی | ||
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