Absolute Stability Analysis Using the Liénard Equation: A Study Derived From Control of Fuel Cell Ultracapacitor Hybrids
Absolute Stability Analysis Using the Liénard Equation: A Study Derived From Control of Fuel Cell Ultracapacitor Hybrids
复制标题
使用 Liénard 方程进行绝对稳定性分析:源自燃料电池超级电容器混合动力控制的研究
DOI:
10.1115/1.4032318
复制
发表时间:
2016
期刊:
影响因子:
--
通讯作者:
Das, Tuhin
中科院分区:
文献类型:
--
作者:
Nowak, William;Geiyer, Daniel;Das, Tuhin
Load-following in solid oxide fuel cells (SOFCs), hybridized with an ultracapacitor for energy storage, refers to an operating mode where the fuel cell's generated power follows the variable power demand, delivering the total demanded power at steady-state. Implementing this operating mode presents a rich set of problems in dynamical systems and control. This paper focuses on state-of-charge (SOC) control of the ultracapacitor during load-following, under transient constraints, and in the presence of an unknown nonlinearity. The problem is generalized to stabilization of a plant containing a cascaded connection of a driver and a driven dynamics, where the former is nonlinear and largely unknown. Closed-loop stability of the system is studied as a Lur'e problem and via energy-based Lyapunov equations, but both impose conservative conditions on the nonlinearity. An alternate approach is developed, where the closed-loop dynamics are formulated as a class of Liénard equations. The corresponding analysis, which is based on the nonlinear characteristics of the Liénard equation, yields more definitive and less conservative stability criteria. Additional conditions that lead to limit cycles are also derived, and a bifurcation pattern is revealed. The generality of the proposed approach indicates applicability to a variety of nonlinear systems.
影响因子:
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作者:
Tuhin Das;S. Narayanan;R. Mukherjee
通讯作者:
R. Mukherjee
DOI:
10.1109/pesw.2002.985024
发表时间:
2002
期刊:
2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309)
影响因子:
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作者:
K. Sedghisigarchi;A. Feliachi
通讯作者:
A. Feliachi
DOI:
10.1109/acc.2009.5160551
发表时间:
2009
期刊:
2009 American Control Conference
影响因子:
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作者:
Tuhin Das;R. Weisman
通讯作者:
R. Weisman