Fault-Tolerance of Linear Quadratic Optimal Systems

Q. Xia, M. Rao, Y.X. Sun, Y. Ying
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Abstract

This paper investigates fault-tolerance of linear quadratic optimal systems. Fault-tolerance is defined as the bound of allowable sensor and actuator gain degradations to maintain stability. Quantitative results for fault-tolerance are obtained using Lyapunov matrix equation solutions. A relation is established between the fualt-tolerance and the prespecified stability degree ¿ and weighting matrix Q in cost function. An iterative algorithm is developed to design the system of the highest fault-tolerance.
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线性二次最优系统的容错性
研究了线性二次最优系统的容错问题。容错定义为传感器和致动器为保持稳定性而允许的增益衰减范围。利用李雅普诺夫矩阵方程解,得到了容错的定量结果。在代价函数中,建立了误差容差与预定的稳定度¿和加权矩阵Q之间的关系。提出了一种设计最高容错性系统的迭代算法。
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