Nonlinear dynamics estimation of CAM plants using slow manifolds
Nonlinear dynamics estimation of CAM plants using slow manifolds
复制标题
DOI：
10.1109/sice.2008.4654967
复制
发表时间：
2008-10
期刊：
影响因子：
--
通讯作者：
Y. Totoki;H. Suemitsu;T. Matsuo
中科院分区：
文献类型：
--
作者：
Y. Totoki;H. Suemitsu;T. Matsuo
利用非线性理论模型研究了景天科酸代谢（CAM）植物内源光合作用昼夜振荡的机制。Blasius等人在整个连续时间中使用微分方程，该方程充分反映了CAM动力学。他们表明，膜有效地充当调节振荡的滞后开关。该模型显示了定期的内源性极限环振荡，在很宽的温度范围内是稳定的，符合实验数据的方式。昼夜节律周期的长度可以简单地用液泡的充盈时间来解释。本文从控制理论的角度讨论了凸轮的非线性动力学模型。特别是，我们提出了一个自适应观测器估计的状态和非线性函数的慢流形逼近的液泡序的动力学。
The mechanism of endogenous circadian photosynthesis oscillations of plants performing crassulacean acid metabolism (CAM) is investigated in terms of a nonlinear theoretical model. Blasius et al. used throughout continuous time differential equations which mode adequately reflect the CAM dynamics. They showed that the membrane effectively acts as a hysteresis switch regulating the oscillations. The model shows regular endogenous limit cycle oscillations that are stable for a wide range of temperatures, in a manner that complies well with experimental data. The circadian period length is explained simply in terms of the filling time of the vacuole. In this paper, we discuss the nonlinear dynamical model of CAM from the control theoretical viewpoint. In particular, we present an adaptive observer to estimate the states and the nonlinear function in the dynamics of the tonoplast order with the slow manifolds approximation.