Low-Gain Integral Control for Multi-Input Multioutput Linear Systems With Input Nonlinearities

Chris Guiver; Hartmut Logemann; Stuart Townley

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Low-Gain Integral Control for Multi-Input Multioutput Linear Systems With Input Nonlinearities

机译：输入非线性的多输入多输出线性系统的低增益积分控制

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We consider the inclusion of a static antiwindup component in a continuous-time low-gain integral controller in feedback with a multi-input multi-output stable linear system subject to an input nonlinearity (from a class of functions that includes componentwise diagonal saturation). We demonstrate that the output of the closed-loop system asymptotically tracks every constant reference vector, which is “feasible” in a natural sense, provided that the integrator gain is sufficiently small. Robustness properties of the proposed control scheme are investigated and three examples are discussed in detail.

机译：我们考虑在具有输入非线性的多输入多输出稳定线性系统的反馈中，将连续时间低增益积分控制器中的静态抗饱和分量包含在反馈中（来自包含分量对角线饱和的一类函数）。我们证明，只要积分器增益足够小，闭环系统的输出就会渐近地跟踪每个常数参考矢量，这在自然意义上是“可行的”。研究了所提出的控制方案的鲁棒性，并详细讨论了三个例子。

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来源
《IEEE Transactions on Automatic Control》 |2017年第9期|4776-4783|共8页
作者
Chris Guiver; Hartmut Logemann; Stuart Townley;
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作者单位

Department of Mathematical Sciences, University of Bath, Bath, U.K.;

Department of Mathematical Sciences, University of Bath, Bath, U.K.;

Environment and Sustainability Institute, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Penryn, U.K.;

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正文语种 eng
中图分类
关键词
Linear systems; Windup; Robustness; Transfer functions; Closed loop systems; MIMO;

机译：线性系统;缠绕;鲁棒性;传递函数;闭环系统;MIMO;

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1. Low-gain integral control of continuous-time linear systems subject to input and output nonlinearities [J] . Fliegner T., Logemann H., Ryan EP. Automatica . 2003,第3期

机译：具有输入和输出非线性的连续时间线性系统的低增益积分控制
2. Adaptive low-gain integral control of linear systems with input and output nonlinearities [J] . Fliegner T., Ryan EP., Logemann H. Systems and Control Letters . 2001,第1期

机译：具有输入和输出非线性的线性系统的自适应低增益积分控制
3. Low-gain integral control of well-posed linear infinite-dimensional systems with input and output nonlinearities [J] . Fliegner T., Ryan EP., Logemann H. Journal of Mathematical Analysis and Applications . 2001,第1期

机译：具有输入和输出非线性的适定线性无限维系统的低增益积分控制
4. Adaptive low-gain integral control in the presence of input and output nonlinearities [C] . Fliegner T., Logemann H., Ryan E.P. European Control Conference . 2001

机译：输入和输出非线性情况下的自适应低增益积分控制
5. Backstepping Control and Transformation of Multi-input Multi-output Affine Nonlinear Systems into a Strict Feedback Form [D] . Alharbi, Khalid Salim D. 2019

机译：将多输入多输出非线性系统的反向控制和转换为严格的反馈形式
6. The Neurobiological Basis of Cognition: Identification by Multi-Input Multioutput Nonlinear Dynamic Modeling [O] . Theodore W. Berger, Dong Song, Rosa H. M. Chan, -1

机译：认知神经生理基础：多输入的识别多输出非线性动态建模
7. Low-gain Integral Control for Multi-Input, Multi-Output Linear Systems with Input Nonlinearities [O] . Guiver Christopher, Logemann Hartmut, Townley Stuart 2017

机译：具有输入非线性的多输入多输出线性系统的低增益积分控制

Low-Gain Integral Control for Multi-Input Multioutput Linear Systems With Input Nonlinearities

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