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首页> 外文学位 >Global and semi-global control problems for linear systems subject to input saturation and minimum-phase input-output linearizable systems.
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Global and semi-global control problems for linear systems subject to input saturation and minimum-phase input-output linearizable systems.

机译：受输入饱和和最小相位输入输出线性化系统影响的线性系统的全局和半全局控制问题。

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摘要

We study some global and semi-global control problems regarding two classes of systems, linear systems subject to input saturation and minimum-phase input-output linearizable systems. We organize the thesis into two parts, each of which deals with one of the two classes of systems.; The first part deals with linear systems subject to input saturation. Two design methodologies are developed to obtain the main results presented in the first part, as well as the second part of the thesis. More specifically, for both continuous-time and discrete-time systems, a low-gain state feedback design methodology yields both a family of linear state feedback laws and a family of linear dynamic output feedback laws which semi-globally exponentially stabilize the general asymptotically null controllable and detectable systems subject to input saturation. A low-and-high gain design methodology yields both a family of linear state feedback laws and a family of linear observer based output feedback laws that not only semi-globally asymptotically stabilizes a class of linear systems subject to input saturation, but also fully utilizes the control capacity and hence improves the closed-loop performances. The full utilization of the control capacity is also shown to achieve disturbance rejection.; The second part of the thesis deals with minimum-phase input-output linearizable systems. We first establish the global asymptotic stabilizability via adaptive high-gain output feedback under certain global growth conditions. The rest of this part of the thesis is devoted to the removing or relaxing of these global growth conditions. To this end, we start with the simpler case where an input-output linearizable system reduces to a partially linear composite system. Our results show that such a partially linear composite system is semi-globally asymptotically stabilizable by using linear or nonlinear feedbacks of only the linear subsystem state as long as the linear subsystem, adopting the part of state which enters the nonlinear subsystem as its output, is right invertible with all its invariant zeros located in the closed left half s-plane. We then return to the general input-output linearizable systems. For both the state feedback case and the output feedback case, we establish the semi-global asymptotic stabilizability and the semi-global practical stabilizability of such systems under some fairly weak conditions, most of which are necessary.
机译：我们研究了关于两类系统的全局和半全局控制问题：受输入饱和影响的线性系统和最小相位输入输出可线性化的系统。我们将论文分为两个部分，每个部分处理两类系统之一。第一部分讨论受输入饱和影响的线性系统。开发了两种设计方法以获得第一部分和第二部分中介绍的主要结果。更具体地说，对于连续时间系统和离散时间系统，低增益状态反馈设计方法既产生线性状态反馈定律族，又产生线性全局动态输出反馈定律族，这组全局全局渐近地半指数稳定。受输入饱和影响的可控制和可检测系统。低增益和高增益设计方法既产生了一系列线性状态反馈定律，又产生了基于线性观察者的输出反馈定律，它们不仅半全局渐近地稳定了受输入饱和影响的一类线性系统，而且还充分利用了控制能力，从而提高了闭环性能。还显示出控制能力的充分利用可实现干扰抑制。本文的第二部分讨论了最小相位输入输出线性化系统。我们首先通过在某些全球增长条件下通过自适应高增益输出反馈来建立全球渐近稳定性。本文其余部分将致力于消除或放松这些全球增长条件。为此，我们从更简单的情况开始，将输入输出线性化系统简化为部分线性复合系统。我们的结果表明，仅使用线性子系统的线性或非线性反馈（采用进入非线性子系统的部分状态作为输出），这样的部分线性复合系统可以通过仅使用线性子系统状态的线性或非线性反馈进行半全局渐近稳定。向右可逆，其所有不变零位于封闭的左半s平面中。然后，我们回到一般的输入输出线性化系统。对于状态反馈情况和输出反馈情况，我们建立了在某些相当弱的条件下这类系统的半全局渐近稳定性和半全局实际稳定性。

著录项

  • 作者

    Lin, Zongli.;

  • 作者单位

    Washington State University.;

  • 授予单位 Washington State University.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 1994
  • 页码 198 p.
  • 总页数 198
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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