Designing stabilizing controllers for uncertain systems using the Riccati equation approach

Schmitendorf W.E.

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Designing stabilizing controllers for uncertain systems using the Riccati equation approach

机译：使用Riccati方程法设计不确定系统的稳定控制器

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A useful technique for determining a linear feedback control law stabilizes an uncertain system is the Riccati-equation approach of I.R. Petersen and C.V. Hollot (1986). They consider systems with time-varying uncertainty in the system matrix and obtain the constant feedback gains for the linear stabilizing controller in terms of the solutions of a Riccati equation. The technique is extended to include problems with time-varying uncertainty in the input connection matrix. Several examples are included to demonstrate the efficacy of this result.

机译：确定线性反馈控制律以稳定不确定系统的有用技术是I.R.的Riccati方程方法。彼得森和简历Hollot（1986）。他们考虑了系统矩阵中具有时变不确定性的系统，并根据Riccati方程的解获得了线性稳定控制器的恒定反馈增益。该技术已扩展为在输入连接矩阵中包含时变不确定性的问题。包括几个例子来证明该结果的有效性。

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《IEEE Transactions on Automatic Control》 |1988年第4期|P.376-379|共4页
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Schmitendorf W.E.;
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2. Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach [J] . Jing-Chung Shen, Bor-Sen Chen IEEE Transactions on Automatic Control . 1991,第5期

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3. Designing robust sliding hyperplanes for parametric uncertain systems: a riccati approach [J] . Kyung Soo Kim, Youngjin Park, Shi-Hwan Oh Automatica . 2000,第7期

机译：为参数不确定系统设计鲁棒的滑动超平面：一种黎卡提方法
4. Stabilizing uncertain nonlinear systems via the constrained discrete-time state-dependent Riccati equation controller [C] . Insu Chang, Joseph Bentsman IEEE Conference on Decision and Control . 2015

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6. A note on improved F-expansion method combined with Riccati equation applied to nonlinear evolution equations [O] . Md. Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar, 2014

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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

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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 controllers for uncertain systems using the Riccati equation approach

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