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Linear parameter varying control and LMI optimization of nonlinear systems.

机译：非线性系统的线性参数变化控制和LMI优化。

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摘要

Linear parameter varying (LPV) modeling and control have been investigated extensively in the last two decades. However, a plethora of research work in both theory and application of LPV systems is still under study. The core idea in this dissertation is to explore state-of-the-art applications of LPV systems in controlling nonlinear plants and comparing the closed-loop performance with conventional control methods. Nonlinear systems can be cast into LPV framework and well-established LPV controller synthesis techniques are applied to them using linear matrix inequalities (LMI) which can be solved efficiently using polynomial-time algorithms.;We investigate the stability and performance analysis of micro-electromechanical system (MEMS) actuators, smart base isolation of structures using magneto-rheological (MR) dampers and multi-input-multi-output (MIMO) control of large-scale horizontal axis wind turbines. Different approaches are proposed to stabilize and control the nonlinear unstable dynamics of a gap-closing MEMS actuator. An integrated approach of parameter identification and control of MR dampers based on Bouc-Wen hysteresis model is developed and simulated. Two modified Bingham and LuGre-based models are proposed to capture the static friction (stiction) and force-flattening properties of a sponge-type MR damper and their hardware-in-the-loop parameter identification. An Hinfinity inverse controller based on the modified LuGre model and a dynamic output-feedback LPV controller based on the modified Bingham model are proposed and experimented for seismic protection of a two-story model building. A lumped model is developed for wind turbines and validated in time and frequency domains using FAST code. LPV controllers are designed and simulated for full operating region of a wind turbine using the FAST nonlinear model. The closed-loop responses of the LPV controller and a traditional PI-scheduled controller for the NREL 5MW baseline wind turbine are compared. In the end, a novel approach toward integrated structure and LPV controller design of wind turbines is formulated and solved by iterative LMI problems to improve the closed-loop performance in terms of minimizing structural fatigue loads and maximizing power capture.
机译：在过去的二十年中，对线性参数变化（LPV）建模和控制进行了广泛的研究。但是，LPV系统的理论和应用方面的大量研究工作仍在研究中。本文的核心思想是探索LPV系统在控制非线性设备以及将闭环性能与常规控制方法进行比较中的最新应用。可以将非线性系统植入LPV框架中，并使用多项式时间算法可以有效解决的线性矩阵不等式（LMI），将成熟的LPV控制器综合技术应用到非线性系统中；我们研究了微机电系统的稳定性和性能分析系统（MEMS）促动器，使用磁流变（MR）阻尼器的智能基础结构隔离以及大型水平轴风力涡轮机的多输入多输出（MIMO）控制。提出了不同的方法来稳定和控制间隙闭合MEMS致动器的非线性不稳定动力学。开发并仿真了基于Bouc-Wen磁滞模型的MR阻尼器参数辨识与控制集成方法。提出了两种改进的基于Bingham和LuGre的模型，以捕获海绵型MR阻尼器的静摩擦（静摩擦）和力平坦特性，以及它们在硬件中的参数识别。提出了一种基于改进的LuGre模型的Hinfinity逆控制器和一种基于改进的Bingham模型的动态输出反馈LPV控制器，并对两层模型建筑物的抗震性能进行了试验。为风力涡轮机开发了集总模型，并使用FAST代码在时域和频域中对其进行了验证。使用FAST非线性模型为风力涡轮机的整个运行区域设计和仿真LPV控制器。比较了LPV控制器和NREL 5MW基准风力涡轮机的传统PI计划控制器的闭环响应。最后，提出了一种新的方法来解决风力发电机组的集成结构和LPV控制器设计问题，并通过迭代LMI问题解决了该问题，从而在最小化结构疲劳载荷和最大化功率捕获方面提高了闭环性能。

著录项

  • 作者

    Shirazi, Farzad A.;

  • 作者单位

    University of Houston.;

  • 授予单位 University of Houston.;
  • 学科 Engineering Electronics and Electrical.;Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2011
  • 页码 141 p.
  • 总页数 141
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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