Graph-based Decomposition of Multi Input Nonlinear Dynamical Systems

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تجزیه سیستم‌های دینامیکی غیرخطی چندورودی با استفاده از نظریه گراف

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 50268 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Haeri, Mohammad
Abstract:
In this thesis, partitioning of multi inputs nonlinear dynamical systems into distinct subsystems with the goal of designing decentralized, distributed, and cooperative predictive controllers for reducing the computational load and time in practical implementations has been studied. At first, the concept of dynamical systems graph is introduced and the problem of decomposing nonlinear dynamical systems into distinct subsystems has been converted to the problem of decomposing dynamical systems graph into separate subgraphs. The proposed method for decomposition of the dynamical system graph is represented as a linear integer optimization programing where the separated subgraphs is obtained by solving the mentioned problem such that the total sum of absolute weight of the system graph's edges that are eliminated is minimal, each state of system that has the lowest relative degree with an input is located in the same subsystem, the number of subsystems variables are as close as possible to each other, and the resulting subsystems are stabilizable
Keywords:
Graph Partitioning ; Distributed Predictive Control (DPC) ; Nonlinear Dynamical System ; Nonlinear Systems Decomposition ; Linear Integer Optimization

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