Machine Learning-Based Model Predictive Control of Two-Time-Scale Systems

نویسندگان

چکیده

In this study, we present a general form of nonlinear two-time-scale systems, where singular perturbation analysis is used to separate the dynamics slow and fast subsystems. Machine learning techniques are utilized approximate both Specifically, recurrent neural network (RNN) feedforward (FNN) predict state vectors, respectively. Moreover, investigate generalization error bounds for these machine models approximating systems. Next, under assumption that states asymptotically stable, our focus shifts toward designing Lyapunov-based model predictive control (LMPC) scheme exclusively employs RNN states. Additionally, derive sufficient conditions guarantee closed-loop stability system sample-and-hold implementation controller. A chemical process example demonstrate theory. particular, two constructed: one full other solely vector. Both integrated within LMPC scheme, compare their performance while assessing computational time required execute optimization problem.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11183827