Nonlinear Dynamics and Control of Complex Patterns in Distributed Chemical Systems

摘要-Chang-9522277相干结构，如前沿和脉冲，驱动着反应堆不稳定和瞬变、快燃催化转化器、反应色层和电泳仪、陶瓷合成等的动力学。PI经验证明，这种结构动力学是低维的，因此很容易控制，并开发了理论工具和计算机软件来捕捉非线性动力学和实施非线性反馈控制，典型的是使用视频传感器。PI计划使用他的理论来分类和破译所有涉及波前、脉冲、螺旋波等的相干结构动力学。在该理论的指导下，将开发一种方案来估计来自红外热成像和视频成像的热锋和浓度脉冲的光谱。该方案将在估计和反馈控制过程中使用多分辨率加窗小波对像素数据进行压缩。然后，该方案将用于研究和控制几种具有重要潜在应用的相干结构驱动的动力学。将尝试使用多个热点和热锋来控制热闪烁。将开发一种反馈控制方案，以稳定催化转化器在瞬时驾驶条件下的热锋。湿壁柱上的界面波将通过反馈控制来构建，以最大限度地提高污染物洗涤过程中的热/质传递。将设计一个视频反馈控制实验来控制微型反应色谱仪中浓度脉冲的速度、宽度和完整性，以提高检测和分离能力。

Abstract - Chang - 9522277 Coherent Structures, like fronts and pulses drive the dynamics in reactor instabilities and transients, fast-igniting catalytic converters, reactive chromatographs and electrophoresis devices, ceramic synthesis, etc. The PI has established empirically that such structure dynamics are low-dimensional and hence readily controllable and has developed the theoretical tools and computer software to capture the nonlinear dynamics and implement nonlinear feedback control, typically with a video sensor. The PI plans to use his theory to classify and decipher all coherent-structure dynamics involving fronts, pulses, spiral waves, etc. in a general framework. Guided by the theory, an scheme will be developed to estimate the spectra of thermal fronts and concentration pulses from IR thermal and video imaging. The scheme will use multi-resolution windowed wavelets to compress the pixel data during estimation and feedback control. This scheme will then will be used to study and control several coherent-structure driven dynamics with important potential applications. Thermal flickering control with multiple hot spots and thermal fronts will be attempted. A feedback control scheme will be developed to stabilize thermal fronts in a catalytic converter during transient driving conditions. Interfacial waves on a wetted- wall column will be structured through feedback control to maximize heat/mass transfer in pollutant scrubbing processes. A video-feedback control experiment will be designed to control the speed, width and integrity of a concentration pulse in a miniature reactive chromatograph to enhance detectability and separation.