Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

Tarokh Mahmoud

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Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

机译：使用反馈控制方法求解一类非线性逆问题

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Inverse problems have applications in many branches of science and engineering. In this paper we propose a new approach to solving inverse problems which is based on using concepts from feedback control systems to determine the inverse of highly nonlinear, discontinuous, and ill-conditioned input-output relationships. The method uses elements from least squares solutions that are formed within a control loop. The stability and convergence of the inverse solution are established. Several examples demonstrate the applicability of the proposed method.

机译：反问题在科学和工程的许多分支中都有应用。在本文中，我们提出了一种解决逆问题的新方法，该方法基于使用反馈控制系统的概念来确定高度非线性，不连续和病态输入输出关系的逆。该方法使用来自在控制回路内形成的最小二乘解的元素。建立了逆解的稳定性和收敛性。几个例子证明了所提出方法的适用性。

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《Mathematical Problems in Engineering》 |2017年第6期|6843614.1-6843614.11|共11页
作者
Tarokh Mahmoud;
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San Diego State Univ, Dept Comp Sci, San Diego, CA 92128 USA;

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1. Solving a Local Boundary Value Problem for a Nonlinear Nonstationary System in the Class of Feedback Controls [J] . Kvitko A. N. Computational mathematics and mathematical physics . 2018,第1期

机译：解决反馈控制类中非线性非间断系统的本地边值问题
2. Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions [J] . Liu Jianwei, Guo Longchuan, Zuo Xin, Journal of applied mathematics . 2013,第Pta4期

机译：一类具有更多一般增长条件的随机非线性系统的输出反馈和逆最优控制
3. Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions [J] . LiuJianwei, GuoLongchuan, ZuoXin, Journal of applied mathematics . 2013,第1期

机译：一类具有更多一般增长条件的随机非线性系统的输出反馈和逆最优控制
4. Adaptive Fuzzy Pseudo Inverse Output-Feedback Control for a Class of Asymmetric Hysteresis Nonlinear System [C] . Guoqiang Zhu, Cheng Zhong, Yong Liu, IEEE International Symposium on Industrial Electronics . 2018

机译：一类非对称磁滞非线性系统的自适应模糊伪逆输出反馈控制
5. Inverse optimal control for dynamic neural networks (DNN) with applications to control design for a class of nonlinear systems. [D] . Liu, Ziqian. 2005

机译：动态神经网络（DNN）的逆最优控制及其在一类非线性系统的控制设计中的应用。
6. On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models [O] . Manuel De la Sen 2019

机译：一类参数化非线性的超稳定反馈控制器的设计。控制流行病模型的两个应用示例
7. Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach [O] . Mahmoud Tarokh 2017

机译：使用反馈控制方法解决一类非线性逆问题
8. A Systematic Nonlinear State Feedback Suboptimal Control Design for a Class of Nonlinear Systems. [R] . yong,angelo augusto 1975

机译：一类非线性系统的系统非线性状态反馈次优控制设计。

Solving a Class of Nonlinear Inverse Problems Using a Feedback Control Approach

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