In this paper, guaranteed cost control is investigated for switched random nonlinear systems against multiple state delays, model uncertainties, intermittent sensor and actuator faults. Other factors containing nonlinear dynamics, external disturbances as well as measurement noise are also considered. This is the first try to realize guaranteed cost control for uncertain switched random nonlinear systems against multiple time delays. In practice, color noise is more common than white noise in some specific situations. Thus, this paper considers random systems with color noise. In contrast to the previous study works, the suggested system can be applied to a wider range. First, a dynamic full-order output feedback controller is established to make the system stable. And an entire closed-loop system is got to achieve guaranteed cost control. Then, the multiple delay-dependent sufficient conditions are acquired through the piecewise Lyapunov function in the framework of linear matrix inequalities (LMIs). In the meantime, controller gain matrices are obtained. At last, two simulation examples are presented to verify the availability of the suggested approach.

在本文中，针对多状态延迟、模型不确定性、间歇性传感器和执行器故障，研究了切换随机非线性系统的保证成本控制。还考虑了其​​他因素，包括非线性动态、外部干扰以及测量噪声。这是针对多时延的不确定切换随机非线性系统实现有保证成本控制的首次尝试。实际上，在某些特定情况下，颜色噪声比白噪声更常见。因此，本文考虑具有颜色噪声的随机系统。与之前的研究工作相比，建议的系统可以应用于更广泛的范围。首先，建立动态全阶输出反馈控制器，使系统稳定。并得到一个完整的闭环系统，以实现有保障的成本控制。然后，在线性矩阵不等式(LMI)的框架下，通过分段Lyapunov函数获得多个时滞相关的充分条件。同时，获得控制器增益矩阵。最后，给出了两个仿真实例来验证所建议方法的可用性。