A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models

Nesic D.; Teel A.R.

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A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models

机译：基于非线性离散数据模型的稳定非线性采样数据系统的框架

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A unified framework for design of stabilizing controllers for sampled-data differential inclusions via their approximate discrete-time models is presented. Both fixed and fast sampling are considered. In each case, sufficient conditions are presented which guarantee that the controller that stabilizes a family of approximate discrete-time plant models also stabilizes the exact discrete-time plant model for sufficiently small integration and/or sampling periods. Previous results in the literature are extended to cover: 1) continuous-time plants modeled as differential inclusions; 2) general approximate discrete-time plant models; 3) dynamical discontinuous controllers modeled as difference inclusions; and 4) stability with respect to closed arbitrary (not necessarily compact) sets.

机译：提出了一个统一的框架，用于通过其近似离散时间模型设计样本数据差分包含物的稳定控制器。同时考虑了固定采样和快速采样。在每种情况下，都提供了足够的条件，这些条件保证了稳定一组近似离散时间工厂模型的控制器也可以在足够小的积分和/或采样周期内稳定精确的离散时间工厂模型。文献中的先前结果扩展到：1）建模为差异包含物的连续时间植物； 2）一般近似离散时间工厂模型； 3）建模为差异包含的动态不连续控制器； 4）关于封闭的任意（不一定紧凑）集合的稳定性。

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《IEEE Transactions on Automatic Control》 |2004年第7期|p.1103-1122|共20页
作者
Nesic D.; Teel A.R.;
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正文语种 eng
中图分类自动化系统;
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Lyapunov methods; continuous time systems; control system synthesis; discrete time systems; nonlinear control systems; sampled data systems; stability; continuous-time plants; discrete-time models; dynamical discontinuous controllers; fast sampling; fixed sampling;

机译：Lyapunov方法;连续时间系统;控制系统综合;离散时间系统;非线性控制系统;采样数据系统;稳定性;连续时间工厂;离散时间模型;动态不连续控制器;快速采样;固定采样;

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1. Optimization-based stabilization of sampled-data nonlinear systems via their approximate discrete-time models [J] . Grune L., Nesic D. SIAM Journal on Control and Optimization . 2003,第1期

机译：通过近似离散时间模型对采样数据非线性系统进行基于优化的稳定
2. Stabilization of sampled-data nonlinear systems by an l-step receding horizon control based on their approximate discrete-time models [J] . A. M. Elaiw Pure mathematics and applications . 2003,第3期

机译：基于近似离散时间模型的l步后退水平控制，稳定采样数据非线性系统
3. Sampled-Data Stabilization of a Class of Stochastic Nonlinear Markov Switching System with Indistinguishable Modes Based on the Approximate Discrete-Time Models [J] . ZHANG Qianqian, KANG Yu, YU Peilong, 系统科学与复杂性：英文版 . 2021,第003期

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4. Sampled-data stabilization for a class of stochastic nonlinear systems with Markovian switching based on the approximate discrete-time models^* [C] . Peilong Yu, Yu Kang, Qianqian Zhang Australian and New Zealand Control Conference . 2018

机译：基于近似离散时间模型的带马尔可夫切换的一类随机非线性系统的采样数据稳定化^*
5. Semi-global stabilization of nonlinear systems via output feedback and sampled-data controls with applications to power systems [D] . Jia, Ruting 2012

机译：通过输出反馈和采样数据控制来实现非线性系统的半全局稳定，并将其应用于电力系统
6. On the Approximated Reachability of a Class of Time-Varying Nonlinear Dynamic Systems Based on Their Linearized Behavior about the Equilibria: Applications to Epidemic Models [O] . Manuel De la Sen 2019

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7. Input-to-state stabilization for nonlinear dual-rate sampled-data systems via approximate discrete-time model [O] . Liu X, Marquez HJ, Lin Y 2008

机译：通过近似离散时间模型对非线性双速率采样数据系统的输入状态稳定

A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models

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