Controlling the discrete-time conic-type nonlinear system by a time-delayed robust H infinity controller

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Controlling the discrete-time conic-type nonlinear system by a time-delayed robust H infinity controller

机译：通过延时的鲁棒H无限远距离控制器控制离散时间圆锥型非线性系统

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This paper investigates the robust H-infinity controller design problem for a class of discrete-time conic-type nonlinear systems with time delays and uncertainties. We aim to design a time-delayed feedback control law such that the closed-loop conic-type nonlinear system is asymptotically stable and satisfies the given H-infinity performance index from the controlled output to the external disturbance. By selecting a proper Lyapunov function, sufficient conditions related to the H-infinity stabilization are formulated in the form of linear matrix inequalities. Finally, a simulation example is employed to demonstrate the effectiveness of the proposed methods.

机译：本文调查了一类具有时间延迟和不确定性的一类离散时圆形非线性系统的强大的H-Infinity控制器设计问题。我们的目标是设计一个时间延迟的反馈控制定律，使得闭环圆锥形非线性系统是渐近稳定的，并满足给定的H-Infinity性能指标从受控输出到外部干扰。通过选择适当的Lyapunov功能，与H-无限远稳定化相关的足够的条件以线性基质不等式的形式配制。最后，采用模拟示例来证明所提出的方法的有效性。

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《Optimal Control Applications and Methods》 |2020年第2期|共12页
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正文语种 eng
中图分类应用数学;
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conic-type nonlinear system; discrete-time; H-infinity controller; time delays; uncertainties;

机译：圆锥形非线性系统;离散时间;H-Infinity控制器;时间延迟;不确定性;

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1. Controlling the discrete-time conic-type nonlinear system by a time-delayed robust H infinity controller [J] . Optimal Control Applications and Methods . 2020,第2期

机译：通过延时的鲁棒H无限远距离控制器控制离散时间圆锥型非线性系统
2. Sliding Mode Controller Design for Conic-Type Nonlinear Semi-Markovian Jumping Systems of Time-Delayed Chua’s Circuit [J] . Nie Rong, He Shuping, Liu Fei, Systems, Man and Cybernetics, IEEE Transactions on . 2021,第4期

机译：锥形非线性半马尔可夫跳跃系统的滑模控制器设计
3. Robust H-infinity control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers [J] . Xu SY., Chen TW. Systems and Control Letters . 2004,第3a4期

机译：通过指数输出反馈控制器对具有时变延迟的不确定离散时间系统进行鲁棒H无限控制
4. Robust H-Infinity Controller Design for Time-Delayed Systems with Uncertainty [C] . Zuo Jianguang, Zhu Shanan Industrial Electronics and Applications, 2006 1ST IEEE Conference on . -1

机译：具有不确定性的时滞系统的鲁棒H-Infinity控制器设计
5. Robust servo controller designs for positioning systems based on H-infinity controller synthesis. [D] . Yao, Wei Hsin. 1994

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7. Robust Neural Tracking Controller Design for a Class of Discrete-Time Nonlinear Systems Under Arbitrary Switching [O] . Yanjun Shu, Yanhui Tong 2021

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8. Dynamics and Robust Control of a Sampled Data System for Large Space Structures. Volume 2. The LQG/LTR Methodology for the Discrete-time System and the Design of Reduced Order Robust Digital Controller for Orbiting Flexible Shallow Spherical Shell System. [R] . Bainum, P. M., Guangqian, X., Ericsson, A. J. 1992

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Controlling the discrete-time conic-type nonlinear system by a time-delayed robust H infinity controller

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