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Optimal disturbance rejection for nonlinear control systems

机译:非线性控制系统的最佳干扰抑制

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摘要

The problem of optimal disturbance rejection for a general class of multiinput/multioutput (MIMO) nonlinear systems, achieved over a set of stabilizing compensator operators, is formulated in a Banach space setting. Conditions on the operators are imposed on the basis of the inputs as well as the outputs. An existence theorem for optimal solutions is established under some realistic and verifiable conditions. For solving the optimization problem, a generalized recursive nonlinear programming algorithm is passed, and a simple example of nonlinear optimal feedback design is given to show that the problem can be reduced to standard min-max optimization and is hence solvable.
机译:在Banach空间设置中提出了在一组稳定的补偿器算子上实现的通用类多输入/多输出(MIMO)非线性系统的最佳干扰抑制问题。根据输入和输出对操作员施加条件。在一些现实且可验证的条件下,建立了最优解的存在性定理。为了解决优化问题,采用了广义递归非线性规划算法,并给出了非线性最优反馈设计的简单例子,表明该问题可以简化为标准的最小-最大优化,因此可以解决。

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