Toward Fitting Structured Nonlinear Systems by Means of Dynamic Mode Decomposition

نویسندگان

چکیده

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics underlying using measured time-domain data produced either by means experiments or numerical simulations. In original methodology, measurements are assumed to be approximately related linear operator. Hence, discrete-time system fitted given data. However, often, systems modeling physical phenomena have particular known structure. this contribution, we propose an identification and reduction based on classical DMD approach allowing fit structured We mainly focus two types nonlinearities: bilinear quadratic bilinear. By enforcing additional structure, more insight into extracting behavior process gained. Finally, demonstrate proposed methodology different examples, such as Burgers’ equation coupled van der Pol oscillators.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Adaptive Fuzzy Dynamic Sliding Mode Control of Nonlinear Systems

Two phenomena can produce chattering: switching of input control signal and the large amplitude of this switching (switching gain). To remove the switching of input control signal, dynamic sliding mode control (DSMC) is used. In DSMC switching is removed due to the integrator which is placed before the plant. However, in DSMC the augmented system (system plus the integrator) is one dimension bi...

متن کامل

Dynamic Sliding Mode Control of Nonlinear Systems Using Neural Networks

Dynamic sliding mode control (DSMC) of nonlinear systems using neural networks is proposed. In DSMC the chattering is removed due to the integrator which is placed before the input control signal of the plant. However, in DSMC the augmented system is one dimension bigger than the actual system i.e. the states number of augmented system is more than the actual system and then to control of such ...

متن کامل

On linear and nonlinear aspects of dynamic mode decomposition

The approximation of reduced linear evolution operator (propagator) via dynamic mode decomposition (DMD) is addressed for both linear and nonlinear events. The 2D unsteady supersonic underexpanded jet, impinging the flat plate in nonlinear oscillating mode, is used as the first test problem for both modes. Large memory savings for the propagator approximation are demonstrated. Corresponding pro...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International series of numerical mathematics

سال: 2021

ISSN: ['0373-3149', '2296-6072']

DOI: https://doi.org/10.1007/978-3-030-72983-7_3