A decentralized observer-based optimal control for interconnected systems using the block pulse functions
Autor: | Abdelaziz Benallegue, Soumaya Ghali, Salwa Elloumi |
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Přispěvatelé: | Université de Carthage - University of Carthage, Laboratoire d'Ingénierie des Systèmes de Versailles (LISV), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ) |
Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
0209 industrial biotechnology
block pulse functions (BPFs) Decentralized observer Computer science 02 engineering and technology Optimal control [SPI.AUTO]Engineering Sciences [physics]/Automatic optimal control 020901 industrial engineering & automation Control theory 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing interconnected systems Observer based Block pulse Instrumentation double-parallel inverted pendulum |
Zdroj: | Transactions of the Institute of Measurement and Control Transactions of the Institute of Measurement and Control, SAGE Publications, 2020, 42 (15), pp.3063-3075. ⟨10.1177/0142331220940205⟩ |
ISSN: | 0142-3312 |
DOI: | 10.1177/0142331220940205⟩ |
Popis: | International audience; The paper proposes a method to integrate numerically an interconnected system, based on an idea of orthogonal approximation of functions. Here, block pulse functions (BPFs) are chosen as the orthogonal set. The main advantage of using this technique is its ability to transform the original optimal control problem to a mathematical programming problem relatively easier to solve. The primary focus of this paper is to exploit and rigorously develop the BPFs parametrization technique for the synthesis of a decentralized observer-based optimal control for large-scale interconnected systems. In addition, we develop a mathematical model of a double-parallel inverted pendulum coupled by a spring, taking into account all possible changes of the connecting position of the elastic spring. In so doing, we conducted advanced simulations applying the new optimal control method to the studied interconnected system. Our results demonstrate the validity and the effectiveness of the developed decentralized observer-based optimal control approach. |
Databáze: | OpenAIRE |
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