Robust stabilization for generalized state-space systems with uncertainty

Shengyuan Xu; Chengwu Yang

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Robust stabilization for generalized state-space systems with uncertainty

机译：具有不确定性的广义状态空间系统的鲁棒镇定

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This paper is concerned with the problem of robust stabilization for generalized state-space systems with parameter uncertainty. The parameter uncertainty under consideration is time-invariant and unknown, but is norm-bounded. The problem we address is to design a state feedback controller such that the resulting closed-loop system is regular, impulse-free and stable for all admissible uncertainties. Via the notion of 'stabilizability and impulse eliminatibility' the robust stabilization problem is solved. Necessary and sufficient conditions for stabilizability and impulse eliminatibility are derived. When these conditions are satisfied, the desired stabilization state feedback controller can be constructed through finding parameters satisfying a certain matrix equation. Finally, an illustrative example is given to show the feasibility of the proposed technique.

机译：本文涉及具有参数不确定性的广义状态空间系统的鲁棒镇定问题。所考虑的参数不确定性是随时间变化的并且是未知的，但是受范数限制。我们要解决的问题是设计一种状态反馈控制器，以使所得的闭环系统对所有可容许的不确定性而言是规则的，无脉冲的且稳定的。通过“稳定性和脉冲消除性”的概念，解决了鲁棒的稳定性问题。得出了稳定和脉冲消除的必要和充分条件。当满足这些条件时，可以通过找到满足特定矩阵方程的参数来构造所需的稳定状态反馈控制器。最后，给出一个说明性的例子来说明所提出技术的可行性。

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《International Journal of Control》 |1999年第18期|共6页
作者
Shengyuan Xu; Chengwu Yang;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动化技术、计算机技术;
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1. Robust stabilization for generalized state-space systems with uncertainty [J] . Shengyuan Xu, Chengwu Yang International Journal of Control . 1999,第18期

机译：具有不确定性的广义状态空间系统的鲁棒镇定
2. EXACT UNIDIRECTIONAL PERTURBATION BOUNDS FOR ROBUSTNESS OF UNCERTAIN GENERALIZED STATE-SPACE SYSTEMS - CONTINUOUS-TIME CASES [J] . Lee L., Hsieh JG., Fang CH. Automatica . 1997,第10期

机译：不确定广义状态空间系统鲁棒性的精确单向摄动界
3. Simultaneous robust normalization and delay-dependent robust H-infinity stabilization for singular time-delay systems with uncertainties in the derivative matrices [J] . Ren Junchao, Zhang Qingling International Journal of Robust and Nonlinear Control . 2015,第18期

机译：具有导数矩阵不确定性的奇异时滞系统的同时鲁棒归一化和依赖于时延的鲁棒H∞镇定
4. Robust D-stability of generalized state-space systems with one-parameter uncertainties [C] . Chun-Hsiung Fang, Chun-Lin Lu . 1999

机译：具有一参数不确定性的广义状态空间系统的鲁棒D稳定性
5. Robustness analysis of uncertain linear systems and robust stabilization of uncertain delayed systems. [D] . Basker, Varadharajan Radhamani. 1998

机译：不确定线性系统的鲁棒性分析和不确定延迟系统的鲁棒稳定性。
6. Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis [O] . Radek Matušů, Bilal Şenol, Celaleddin Yeroğlu 2011

机译：具有非结构化乘法不确定性的线性系统：建模和鲁棒稳定性分析
7. Partial Stabilization of Generalized State-Space Systems Using the Disk Function Method [O] . Benner, P. 2003

机译：基于磁盘函数法的广义状态空间系统的部分镇定
8. Robust Stabilization of Nonlinear Systems via Stable Kernel Representations with L2-Gain Bounded Uncertainty [R] . van der Schaft, A. J. 1993

机译：具有L2增益有界不确定性的稳定核表示的非线性系统鲁棒镇定

Robust stabilization for generalized state-space systems with uncertainty

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