{"title":"Exergy and Irreversible Entropy Production Thermodynamic Concepts for Control Design: Nonlinear Systems","authors":"R. Robinett, D. Wilson","doi":"10.1109/MED.2006.328728","DOIUrl":null,"url":null,"abstract":"This paper develops a novel control system design methodology that uniquely combines: concepts from thermodynamic exergy and entropy; Hamiltonian systems; Lyapunov's direct method and Lyapunov optimal analysis; electric AC power concepts; and power flow analysis. Relationships are derived between exergy/entropy and Lyapunov optimal functions for Hamiltonian systems. The methodology is demonstrated with two fundamental numerical simulation examples: 1) a Duffing oscillator/Coulomb friction nonlinear model that employs PID regulator control and 2) a van der Pol nonlinear oscillator system. The control system performances and/or appropriately identified terms are partitioned and evaluated based on exergy generation and exergy dissipation terms. This novel nonlinear control methodology results in both necessary and sufficient conditions for stability of nonlinear systems","PeriodicalId":347035,"journal":{"name":"2006 14th Mediterranean Conference on Control and Automation","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 14th Mediterranean Conference on Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2006.328728","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
This paper develops a novel control system design methodology that uniquely combines: concepts from thermodynamic exergy and entropy; Hamiltonian systems; Lyapunov's direct method and Lyapunov optimal analysis; electric AC power concepts; and power flow analysis. Relationships are derived between exergy/entropy and Lyapunov optimal functions for Hamiltonian systems. The methodology is demonstrated with two fundamental numerical simulation examples: 1) a Duffing oscillator/Coulomb friction nonlinear model that employs PID regulator control and 2) a van der Pol nonlinear oscillator system. The control system performances and/or appropriately identified terms are partitioned and evaluated based on exergy generation and exergy dissipation terms. This novel nonlinear control methodology results in both necessary and sufficient conditions for stability of nonlinear systems
本文开发了一种新颖的控制系统设计方法，独特地结合了:热力学火用和熵的概念;哈密顿系统;李雅普诺夫直接法与李雅普诺夫最优分析交流电概念;以及潮流分析。推导了哈密顿系统的能/熵与李雅普诺夫最优函数之间的关系。通过两个基本的数值模拟实例来证明该方法:1)采用PID调节器控制的Duffing振荡器/Coulomb摩擦非线性模型和2)van der Pol非线性振荡器系统。根据火用产生和火用耗散项对控制系统性能和/或适当识别的项进行划分和评估。这种新颖的非线性控制方法得到了非线性系统稳定的充分必要条件
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