The control of fractional-order (FO) delayed systems is important in real-world applications, but it is still a challenging task. This paper studies the output-feedback-guaranteed cost control of a class of FO uncertain linear systems with time delay. Norm-bounded and time-varying parameter uncertainties are considered. A new definition of guaranteed cost control of FO system is proposed. Additionally, static and dynamic output-feedback delay-independent guaranteed cost controllers are designed. Two numerical examples are presented showing the effectiveness of the proposed schemes.

中文翻译：

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分数阶不确定线性时滞系统的输出反馈保证成本控制

分数阶（FO）延迟系统的控制在实际应用中很重要，但仍然是一项艰巨的任务。研究了一类时滞的FO不确定线性系统的输出反馈保证成本控制。考虑范数有界和时变的参数不确定性。提出了FO系统保证成本控制的新定义。此外，还设计了静态和动态输出反馈独立于延迟的保证成本控制器。给出了两个数值示例，显示了所提出方案的有效性。