In addition, the Lyapunov theorem is applied to have the asymptotic stability of the closed loop system with system parameters updated on line.

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Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

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The control architecture and associated error equation are built for adaptive output feedback control. Then, a stable weight adjust rule for the no-line NN is derived by Lyapunov theory, thus assuring the stability of the closed-loop system.

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Rotor position can be attained by flux linkage and line current estimation. A colsed￣loop state observer is implemented to compute the speed feedback signal. The control is rea￣lized by software using TMS DSP320C25. Experiment results on a SPM are reliable in both steady and transient states .

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The sensitivities of line current to nodal injected powers are introduced based on loop current analysis in polar coordinates, and the simple calculation method for sens...

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