Designing stabilizing control of uncertain systems by quasiconvexoptimization

Keqin Gu

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Designing stabilizing control of uncertain systems by quasiconvexoptimization

机译：通过拟凸优化设计不确定系统的稳定控制。

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The design of stabilizing linear output feedback control of uncertain systems is a computationally demanding optimization problem as local minima may exist which are distinct from the global minimum. However, in some special cases, quasiconvexity can be proven through a simple redefinition of variables and/or a reformulation of the problem in the dual form. Such special cases include state feedback control for both discrete and continuous time systems

机译：不确定系统的稳定线性输出反馈控制的设计是一个计算要求很高的优化问题，因为可能存在与全局最小值不同的局部最小值。但是，在某些特殊情况下，可以通过简单地重新定义变量和/或以对偶形式重新构造问题来证明拟凸性。这种特殊情况包括离散时间系统和连续时间系统的状态反馈控制

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《IEEE Transactions on Automatic Control》 |1994年第1期|p.127-131|共5页
作者
Keqin Gu;
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正文语种 eng
中图分类自动化系统;
关键词
control system synthesis; duality (mathematics); feedback; linear systems; stability; dual form; global minimum; local minima; quasiconvex optimization; quasiconvexity; stabilizing control design; stabilizing linear output feedback control; state feedback control; un;

机译：控制系统综合;对偶（数学）;反馈;线性系统;稳定性;对偶形式;全局最小值;局部最小值;拟凸优化;拟凸度;稳定控制设计;稳定线性输出反馈控制;状态反馈控制;un;

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专利

1. An optimization algorithm for designing a stabilizing controller for linear time-varying uncertain systems with state delays [J] . Hashimoto T. Computational mathematics and modeling . 2013,第1期

机译：具有状态时滞的线性时变不确定系统的稳定控制器设计的优化算法
2. Designing stabilizing control of uncertain systems by quasiconvex optimization [J] . Keqin Gu IEEE Transactions on Automatic Control . 1994,第1期

机译：通过拟凸优化设计不确定系统的稳定控制。
3. Designing stabilizing controllers for uncertain systems using the Riccati equation approach [J] . Schmitendorf W.E. IEEE Transactions on Automatic Control . 1988,第4期

机译：使用Riccati方程法设计不确定系统的稳定控制器
4. Memoryless stabilizing controller designing of uncertain time-delayed systems [C] . Cheng, C.W., Sun, Industrial Technology, 1996. (ICIT '96), Proceedings of The IEEE International Conference on . 1996

机译：不确定时滞系统的无记忆稳定控制器设计
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. SIP-Based Single Neuron Stochastic Predictive Control for Non-Gaussian Networked Control Systems with Uncertain Metrology Delays [O] . Xinying Xu, Yalan Zhao, Mifeng Ren, 2018

机译：基于SIP的非高斯联网控制系统的单一神经元随机预测控制具有不确定的计量延迟
7. A stabilizing model predictive controller for uncertain max-plus-linear systems and uncertain switching max-plus-linear systems [O] . T.J.J. van den Boom, Bart De Schutter 2011

机译：不确定最大加线性系统和不确定切换最大 - 线性系统的稳定模型预测控制器
8. Designing Stabilizing Controllers for Uncertain Systems Using the Riccati Equation Approach [R] . Schmitendorf, W. E. 1987

机译：用Riccati方程方法设计不确定系统的稳定控制器

Designing stabilizing control of uncertain systems by quasiconvexoptimization

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