For the linear multivariable systems, by combining both merits of orthogonal-function approach and evolutionary optimization, in this paper, a new method is presented for designing a Luenberger reduced-order observer to solve the low-sensitivity design issue for physical system parameter deviation and simultaneously to minimize a measurement of the quadratic performance for reducing state transient estimation error. Two given examples illustrate the effectiveness of the presented new low-sensitivity design approach on state estimation performance. From the given examples, it shows that the estimated state errors are not sensitive to system parameter deviation and have the asymptotical convergence property. Besides, the performances are apparently superior to those without considering low-sensitivity design means.

中文翻译：

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线性多变量系统低灵敏度Luenberger降阶观测器的优化设计

针对线性多变量系统，结合正交函数法和进化优化的优点，提出了一种设计Luenberger降阶观测器的新方法，解决了物理系统参数偏差和参数偏差的低灵敏度设计问题。同时最小化二次性能的测量，以减少状态瞬态估计误差。两个给定的例子说明了所提出的新的低灵敏度设计方法对状态估计性能的有效性。算例表明，状态估计误差对系统参数偏差不敏感，且具有渐近收敛性。此外，其性能明显优于不考虑低灵敏度设计手段的情况。