دانلود ترجمه مقاله رفتار پویا و سنکرونیزاسیون الگوی آشوب راکتورهای شیمیایی

• فهرست مطالب:

چکیده
۱ معرفی
۲ مدل راکتور شیمیایی نامنظم
۳سنکرونیزاسیون بوسیله کنترل حالت لغزش
۴ شبیه سازی عددی
۵ نتیجه گیری

• بخشی از ترجمه:

در این مقاله، ما دینامیک های  یک سیستم راکتور شیمیایی نامنظم رامورد مطالعه قرار می دهیم. خواص اساسی مدل راکتور شیمیایی مانند توان لیاپانوف، جذب کننده بی نظمی، تعادل و ثبات آن ها شرح داده شده است. برای سنکرونیزاسیون، ما از طرح کنترل حالت لغزش استفاده می کنیم. قوانین کنترل به دست آمده توسط Lemma Barbalate برآورده می شوند. شبیه سازی عددی برای نشان دادن کارایی روش پیشنهادی مورد مطالعه، ارائه شده است.

• بخشی از مقاله انگلیسی:

INTRODUCTION Chaos, is an interesting phenomenon in nonlinear dynamical systems, has been studied over the last four decades [2, 16, 20, 23, 24, 31, 32]. Chaotic and hyperchaotic systems are nonlinear deterministic systems that displays complex and unpredictable behavior. Also these systems are sensitive respect to initial conditions. The chaotic and hyperchaotic systems have many important fields in applied nonlinear sciences, such as laser physics, secure communications, nonlinear circuits, control, neural networks, and active wave propagation [3, 4, 7, 13, 16, 17, 22, 25, 29]. The synchronization of chaotic systems has been investigated since its introduction in the paper by Pecora and Carrol in 1990 [24] and has been widely investigated in many fields, such as physics, chemistry, ecological science and secure communications [5, 14, 31]. Various techniques and methods have been proposed to achieve chaos synchronization and anti-synchronization such as adaptive control [9, 19, 30], adaptive sliding mode control [26], sliding mode control [33], active control [10] and nonlinear control [1]. Fortunately, 82 KHEIRI AND NADERI some existing methods of synchronizing can be generalized to anti-synchronization chaotic systems. Recently synchronization of chaotic complex systems studied in [21]. Dynamics of chemical reactors model has been studied in [11, 12]. The chaotic behavior of chemical reactor model has been studied in [15] by means of computer assisted proof. Synchronization of two identical chemical reactors model has been obtained via linear feedback controller in [28]. We study dynamical qualitative behavior of chemical reactor model. For this purpose, we verify the stability of fixed points and characteristic of chaos for proposed model. We apply sliding mode to synchronization of the model. This paper is organized as follows: In section 2, the dynamical properties of chemical reactor model including Lyapunov exponents, bifurcations and stability of equilibria, will be discussed. We using sliding mode control method for chaos synchronization of two identical chemical reactors model in section 3. By using the Barbalate’s lemma, proved that the error system is asymptotically stable in origin. In section 4, numerical simulations are computed to check the analytical expressions. Our concluding remarks are presented in section 5. 2. CHAOTIC CHEMICAL REACTOR MODEL Chemical dynamics in a well-stirred reactor provides one of the most clear-cut examples of complex non-equilibrium behavior, since it can generate deterministic chaos from the intrinsic nonlinearities of the dynamics. Since this form of chaos is amenable to a small number of macro variables, one may reasonably expect that it constitutes an ideal case study for understanding the passage from microscopic to macroscopic behavior [12]. Chaotic dynamics is characterized by its sensitivity to initial conditions and is sensitive to external disturbances. Questions such as chaotic dynamics amplify internal noises and destroy the macroscopic description, and what the deterministic chemical chaos would become in the picture of a microscopic description beyond the phenomenological kinetics, are of much interest.

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