• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文学位 >Stability and equilibria of linear control systems under input and measurement quantization.
【24h】

Stability and equilibria of linear control systems under input and measurement quantization.

机译：输入和测量量化下线性控制系统的稳定性和均衡性。

获取原文
获取原文并翻译 | 示例
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Scope and method of study. The problems of characterization of equilibria and stability analysis of a class of systems with quantization are treated in this work. System configurations considered include the main cases of open-loop stable linear plants under full state feedback, and under output feedback with dynamic compensation. The state feedback case is divided into sub-cases according to the type of quantization present in the system. The theoretical tools most predominantly used are those of Absolute Stability and Discrete Positive Real Theory. Standard results from these theories are expanded and modified to suit the needs of the particular problems. Standing assumptions include the open-loop stability of the plant and controller, in addition with properness conditions in specific cases.; Findings and conclusions. The sub-case of quantized input with precise state measurements, termed QI case, is amenable to explicit solution of the equilibrium equations. This knowledge is used in obtaining a necessary and sufficient condition for the origin to be the only equilibrium point. The stability problem in QI systems is analyzed directly using available tools of Absolute Stability and Discrete Positive Real theory. The main contribution to the stability analysis of QI systems is a parameterization of stabilizing feedback gains. For unstable continuous-time systems, a modified quantized feedback law is considered that can stabilize the system at the expense of chattering control. The equilibrium equations for the sub-case of quantization at the input and the state measurements, denoted QIQM, do not have a closed-form solution. A graphical construction is proposed that can be used in finding all equilibrium solutions of a QIQM system of arbitrary order. The stability problem cannot be directly analyzed using the standard tools of DPR theory or Absolute Stability. A system transformation is introduced that puts the system in a form similar to the Luré problem, where the sector nonlinearity is multiplicatively perturbed by a bounded function of the state. A result stating conditions for the stability of such systems is developed, and its use is not limited to systems with quantization. The stability analysis of QIQM systems culminates in a simple stability test in the frequency domain. The design problem in QIQM systems remains difficult, and only a method of gain scaling is presented. It is also shown that the parametric behavior of the system with respect to changes in gain scaling displays bifurcations. The sub-case of quantized input with precise output measurement and dynamic compensation, called QI0, reduces to it state-space counterpart, QI. The same is true for systems with no input quantization and quantized output feedback, termed IQO. The case of quantization at plant input and output, called QIQO, is more difficult to analyze. The equilibrium equations do no, have a closed-form solution, thus only an upper bound on the number of solutions given, along with a sufficient condition for the origin to be only equilibrium point is given. The stability analysis has been carried out by means of the Small Gain Theorem.
机译：研究范围和方法。这项工作解决了平衡性的表征和一类具有量化系统的稳定性分析的问题。所考虑的系统配置包括处于全状态反馈和具有动态补偿的输出反馈下的开环稳定线性工厂的主要情况。根据系统中存在的量化类型，状态反馈情况分为子情况。最主要使用的理论工具是绝对稳定性和离散正实论。这些理论的标准结果得到扩展和修改，以适应特定问题的需要。常规假设包括工厂和控制器的开环稳定性，以及在特定情况下的适用性条件。 发现和结论。具有精确状态测量值的量化输入子情形称为QI情形，适合于明确求解平衡方程。该知识用于获得使原点成为唯一平衡点的必要和充分条件。使用绝对稳定性和离散正实理论的可用工具直接分析QI系统中的稳定性问题。 QI系统稳定性分析的主要贡献是稳定反馈增益的参数化。对于不稳定的连续时间系统，可以考虑使用经过修改的量化反馈定律，该定律可以稳定系统，但会增加抖动控制的代价。在输入和状态测量的量化子情况下，表示为QIQM的平衡方程没有封闭形式的解决方案。提出了一种图形构造，可用于查找任意阶数的QIQM系统的所有平衡解。不能使用DPR理论或绝对稳定性的标准工具直接分析稳定性问题。引入了系统变换，使系统处于类似于Luré问题的形式，其中，扇区非线性被状态的有界函数相乘地扰动。结果陈述了这种系统的稳定性条件，并且其使用不限于具有量化的系统。 QIQM系统的稳定性分析最终在频域进行了简单的稳定性测试。 QIQM系统中的设计问题仍然很困难，仅提出了一种增益缩放的方法。还显示出系统相对于增益缩放变化的参数行为显示出分歧。具有精确的输出测量和动态补偿的量化输入子情况称为QI0，将状态空间对应物QI减小到其子状态。对于没有输入量化和量化输出反馈（称为IQO）的系统也是如此。在工厂输入和输出处进行量化的情况称为QIQO，更难分析。平衡方程没有，具有封闭形式的解，因此仅给出了给定解数的上限，并且给出了仅使原点成为平衡点的充分条件。稳定性分析是通过小增益定理进行的。

著录项

  • 作者

    Richter, Hanz.;

  • 作者单位

    Oklahoma State University.;

  • 授予单位 Oklahoma State University.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 118 p.
  • 总页数 118
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号