The robust estimation of discrete-time one-sided Lipschitz systems is considered. A linear matrix inequality based approach is presented to design a nonlinear state observer such that the input-to-state stability of the estimation error is locally guaranteed while minimizing an upper-bound on the ℓ_∞-induced system norm from the disturbance input to the error system performance output. The effectiveness of the approach is demonstrated in simulation for several numerical examples.

中文翻译：

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离散时间本地单侧Lipschitz系统的鲁棒观测器设计

考虑了离散时间单侧Lipschitz系统的鲁棒估计。提出了一种基于线性矩阵不等式的方法来设计非线性状态观测器，从而可以局部保证估计误差的输入状态稳定性，同时最大程度地减小了由_∞输入引起的系统扰动输入到系统的上界。错误系统性能输出。在几个数值示例的仿真中证明了该方法的有效性。