Scholarlink

Abstract <p> For hybrid linear time-invariant continuous-discrete systems lacking the completecontrollability property, we propose an approach to designing two types of controllers that provide“incomplete finite stabilization.” The implementation of one of them—a weak statefeedback finite stabilization controller—is based on knowledge of the values of the controlsystem solution at discrete moments of time, multiples of the quantization step. The second typeof controller—a weak output feedback finite stabilization controller—uses theobserved output signal as feedback. These controllers contain auxiliary variables described byadditional discrete-time equations, and incomplete finite stabilization implies that for theclosed-loop system, finite stabilization is only required for those components of the solution vectorwhich are also components of the solution vector of the original (open-loop) system. Criteria forthe existence and a method for the design of such controllers are obtained.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Finite Stabilization of Incompletely Controllable Hybrid Linear Continuous-Discrete Systems

  • 期刊论文

  • 发表日期：

    2025年3月1日

查看全文
  • V. E. Khartovskii

摘要

Abstract

For hybrid linear time-invariant continuous-discrete systems lacking the completecontrollability property, we propose an approach to designing two types of controllers that provide“incomplete finite stabilization.” The implementation of one of them—a weak statefeedback finite stabilization controller—is based on knowledge of the values of the controlsystem solution at discrete moments of time, multiples of the quantization step. The second typeof controller—a weak output feedback finite stabilization controller—uses theobserved output signal as feedback. These controllers contain auxiliary variables described byadditional discrete-time equations, and incomplete finite stabilization implies that for theclosed-loop system, finite stabilization is only required for those components of the solution vectorwhich are also components of the solution vector of the original (open-loop) system. Criteria forthe existence and a method for the design of such controllers are obtained.