This paper deals with the observer design problem for semi-Markov jump systems with incremental quadratic constraints. Based on the design objective that the state estimation error is stochastically stable, the sufficient conditions formulated by linear matrix inequalities are presented. To reduce the conservatism of sufficient conditions as well as the computational burden, the relaxation method with slack variable is employed. Finally, a simulation example verifies the effectiveness and superiority of the method studied in this paper.

中文翻译：

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具有增量二次约束的半马尔可夫跳跃系统的观察者设计

本文讨论了具有增量二次约束的半马尔可夫跳跃系统的观测器设计问题。基于状态估计误差随机稳定的设计目标，提出了由线性矩阵不等式表示的充分条件。为了减少充分条件的保守性和计算负担，采用松弛变量松弛法。最后通过仿真实例验证了本文所研究方法的有效性和优越性。