This paper concentrates on the bumpless transfer control problem for a category of switched fuzzy systems with L2L_2-gain property. A description of the bumpless transfer performance for switched fuzzy systems is introduced for the first time. A general multiple Lyapunov functions strategy is exploited to solve the bumpless transfer control problem of the switched fuzzy systems with the L2L_2-gain property. The multiple Lyapunov functions scheme allows the disconnection of the successive Lyapunov functions when a switching happens. A criterion on the bumpless transfer performance with the L2L_2-gain property is established, allowing each subsystem to satisfy neither the bumpless transfer performance nor the L2L_2-gain property. Moreover, when only the L2L_2-gain property is considered, the condition is mildly expressed in terms of matrix inequalities rather than the usual combination of matrix inequalities and matrix equalities. Finally, an example of controlling a mass-spring-damping model is offered to validate the effectiveness of the developed control strategy.

中文翻译：

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具有 $L_2$ 增益属性的切换模糊系统的无扰传输控制


本文主要研究一类具有L2L_2增益性质的切换模糊系统的无扰传递控制问题。首次介绍了切换模糊系统的无扰传递性能的描述。利用通用的多李雅普诺夫函数策略来解决具有L2L_2增益性质的切换模糊系统的无扰传递控制问题。多个李雅普诺夫函数方案允许在切换发生时断开连续的李雅普诺夫函数。建立了具有L2L_2增益特性的无扰动传输性能的标准，使得每个子系统既不满足无扰动传输性能也不满足L2L_2增益特性。此外，当仅考虑L2L_2-增益性质时，该条件温和地用矩阵不等式表示，而不是矩阵不等式和矩阵等式的通常组合。最后，提供了一个控制质量-弹簧-阻尼模型的例子来验证所开发的控制策略的有效性。