Inverse optimal design of input-to-state stabilizing nonlinear controllers
Inverse optimal design of input-to-state stabilizing nonlinear controllers
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DOI：
10.1109/cdc.1997.652387
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发表时间：
1997-12
期刊：
影响因子：
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通讯作者：
M. Krstić;Zhong-Hua Li
中科院分区：
文献类型：
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作者：
M. Krstić;Zhong-Hua Li
我们表明，对于一个与有意义的微分博弈问题相关的哈密顿 - 雅可比 - 艾萨克斯方程的可解性，输入到状态的能稳性既是必要的也是充分的。这个微分博弈问题与“非线性H/下标/无穷大//”问题类似，但更具一般性。该结果的重要性源于这样一个事实，即输入到状态的稳定化问题的构造性解是可行的。我们分析的主要工具是勒让德 - 芬切尔变换和杨氏不等式的一般形式，而非配方法。
We show that input-to-state stabilizability is both necessary and sufficient for the solvability of a Hamilton-Jacobi-Isaacs equation associated with a meaningful differential game problem similar to, but more general than, the "nonlinear H/sub /spl infin//" problem. The significance of the result stems from the fact that constructive solutions to the input-to-state stabilization problem are available. Rather than completion of squares, the main tools in our analysis are Legendre-Fenchel transformations and the general form of Young's inequality.