Robust controlling hyperchaos of the Rossler system subject to input nonlinearities by using sliding mode control

Her-Terng Yau; Jun-Juh Yan

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Robust controlling hyperchaos of the Rossler system subject to input nonlinearities by using sliding mode control

机译：使用滑模控制的鲁棒控制输入非线性的Rossler系统超混沌

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A sliding mode control is designed to stabilize the well-known hyperchaos of Rossler system to equilibrium points subject to sector nonlinear input. The proposed control law is robust against both the input nonlinearity and external disturbance. The error bound can be arbitrarily set by assigning the corresponding dynamics to the sliding surfaces when the desired state is not an equilibrium point. Simulation results show that the system state can be regulated to an equilibrium point in the state space. It is also seen that the system still possesses advantage of fast response and good transient performance even though the control input is nonlinear.

机译：设计了滑模控制，以使Rossler系统的众所周知的超混沌稳定到受扇区非线性输入影响的平衡点。所提出的控制律对于输入非线性和外部干扰均具有鲁棒性。当期望状态不是平衡点时，可以通过将相应的动力学分配给滑动表面来任意设置误差范围。仿真结果表明，系统状态可以调节到状态空间中的平衡点。还可以看出，即使控制输入是非线性的，系统仍然具有快速响应和良好的瞬态性能的优点。

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2007年第5期|共10页
作者
Her-Terng Yau; Jun-Juh Yan;
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正文语种 eng
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1. Robust controlling hyperchaos of the Rossler system subject to input nonlinearities by using sliding mode control [J] . Her-Terng Yau, Jun-Juh Yan Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2007,第5期

机译：使用滑模控制的鲁棒控制输入非线性的Rossler系统超混沌
2. H-infinity-Sliding mode control of one-sided Lipschitz nonlinear systems subject to input nonlinearities and polytopic uncertainties [J] . Saad Wajdi, Sellami Anis, Garcia Germain ISA Transactions . 2019,第期

机译：单侧嘴唇尖端非线性系统的H-Infinity滑动模式控制，以输入非线性和多种子质不确定性
3. Improved Adaptive Sliding Mode Control for a Class of Uncertain Nonlinear Systems Subjected to Input Nonlinearity via Fuzzy Neural Networks [J] . Nguyen Tat-Bao-Thien, Liao Teh-Lu, Yan Jun-Juh Mathematical Problems in Engineering . 2015,第PTa6期

机译：一类不确定非线性系统的改进自适应滑模控制。
4. Model reference adaptive sliding mode control of uncertain systems subject to input nonlinearity [C] . Wen-long Song, Jun Cao . 2006

机译：输入非线性下不确定系统的模型参考自适应滑模控制
5. Analytical modeling, analysis and robust control of uncertain nonlinear dynamical systems by using sliding mode control (SMC) and quantitative feedback theory (QFT). [D] . Rajapakse, Nuraj I. 2006

机译：利用滑模控制（SMC）和定量反馈理论（QFT）对不确定的非线性动力系统进行分析建模，分析和鲁棒控制。
6. Singularity-Free Neural Control for the Exponential Trajectory Tracking in Multiple-Input Uncertain Systems with Unknown Deadzone Nonlinearities [O] . J. Humberto Pérez-Cruz, José de Jesús Rubio, Rodrigo Encinas, -1

机译：具有未知死区非线性的多输入不确定系统中指数轨迹跟踪的无奇异神经控制
7. Improved Adaptive Sliding Mode Control for a Class of Uncertain Nonlinear Systems Subjected to Input Nonlinearity via Fuzzy Neural Networks [O] . Tat-Bao-Thien Nguyen, Teh-Lu Liao, Jun-Juh Yan 2015

机译：通过模糊神经网络改进了一类经历输入非线性的不确定非线性系统的自适应滑模控制

Robust controlling hyperchaos of the Rossler system subject to input nonlinearities by using sliding mode control

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