This article considers the guaranteed cost control problem of continuous-time semi-Markovian jump system. First, a conditionally mode-dependent controller is proposed, which includes mode-dependent and -independent controllers as special cases. Via exploiting a Lyapunov function method and enlarging techniques, sufficient LMI conditions are presented for solving such a controller directly. All the features such as conditional probability, sojourn time, and transition probability are involved. More extensions about general conditional probabilities such as uncertain and partially unknown cases are considered. Finally, a practical example is given to illustrate the effectiveness and superiority of the proposed methods.

中文翻译：

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通过条件模式依赖控制器保证半马尔可夫跳跃系统的成本控制

本文考虑了连续时间半马尔可夫跳跃系统的保证成本控制问题。首先，提出了一种条件依赖模式的控制器，其中包括模式依赖和独立控制器作为特殊情况。通过利用李雅普诺夫函数方法和放大技术，提出了直接求解这种控制器的充分 LMI 条件。包括条件概率、逗留时间、转移概率等所有特征。考虑了更多关于一般条件概率的扩展，例如不确定和部分未知的情况。最后，给出一个实际例子来说明所提出方法的有效性和优越性。