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The mechanism of endogenous circadian photosynthesis oscillations of plants perforrning crassulacean acid metabolism (CAM) is investigated in terms of a nonlinear theoretical model. Blasius et al. used throughout continuous time di狂'erentialequations which mode adequately refl.ect the CAM dynamics. They showed that the membrane effectively acts as a hysteresis switch regulating the oscillations. The model shows regular endogenous limit cyc1e oscillations that are stable for a wide range of temperatures, ina manner that complies well with experimental data. The circadian period length is explained simply in terms of the filing 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.

On Robustness against Temperature Changes of Adaptive Estimator for CAM Plants