Robust H/sub /spl infin// control of uncertain nonlinear system via state feedback

Shen T.; Tamura K.

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Robust H/sub /spl infin// control of uncertain nonlinear system via state feedback

机译：通过状态反馈对不确定的非线性系统进行鲁棒的H / sub / spl infin //控制

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This technical note presents a solution of robust H/sub /spl infin// control problem for an affine nonlinear system with gain bounded uncertainty. It is shown that the L/sub 2/-induced norm of a closed-loop system with the uncertainty is less than one if an extended nonlinear system with no uncertainty is dissipative with respect to a supply rate. In consequence of this result, a state feedback law such that the closed-loop system has H/sub /spl infin// robust performance is derived based on the Hamilton-Jacobi inequality. It is also shown that the existing results for linear systems are special cases of the presented results.

机译：本技术说明为具有增益限制不确定性的仿射非线性系统提供了鲁棒H / sub / spl infin //控制问题的解决方案。结果表明，如果具有不确定性的扩展非线性系统相对于供给速率而言是耗散的，则具有不确定性的闭环系统的L / sub 2 /诱导范数小于一个。结果的结果是，基于汉密尔顿-雅各比不等式推导了状态反馈定律，使得闭环系统具有H / sub / spl infin //鲁棒性能。还表明，线性系统的现有结果是所给出结果的特殊情况。

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《IEEE Transactions on Automatic Control》 |1995年第4期|P.766-768|共3页
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Shen T.; Tamura K.;
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2. Comments on "Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H/sup /spl infin// control theory, and linear matrix inequalities" [J] . Hyung-Jin Kang, Cheol Kwon IEEE Transactions on Fuzzy Systems . 1997,第4期

机译：关于“通过模糊控制对一类不确定非线性系统进行鲁棒镇定：二次镇定性，H / sup / spl infin //控制理论和线性矩阵不等式”的评论
3. Robust stabilization of a class of uncertain nonlinear systems via fuzzy control: quadratic stabilizability, H/sup /spl infin// control theory, and linear matrix inequalities [J] . Tanaka K., Ikeda T. IEEE Transactions on Fuzzy Systems . 1996,第1期

机译：通过模糊控制对一类不确定非线性系统进行鲁棒镇定：二次镇定性，H / sup / spl infin //控制理论和线性矩阵不等式
4. Robust H/sub /spl infin// state feedback control with an /spl alpha/-stability constraint for uncertain time-delay systems [C] . Fuwen Yang, Wu Wang Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on . 2002

机译：具有不确定/ spl alpha /稳定性约束的鲁棒H / sub / spl infin //状态反馈控制
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

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6. Robust Adaptive Control for a Class of Uncertain Nonlinear Systems with Time-Varying Delay [O] . Ruliang Wang, Jie Li, Shanshan Zhang, 2013

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7. Robust Stability of Feedback Control Systems Containing an Uncertain Nonlinearity [O] . Yoshifumi OKUYAMA 1988

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8. Robust Feedback Control of Reconfigurable Multi-Agent Systems in Uncertain Adversarial Environments. [R] . Jacobs, J., Sanfelice, R. 2015

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Robust H/sub /spl infin// control of uncertain nonlinear system via state feedback

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