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针对Markov系统矩阵参数未知的实际情况,提出一种基于状态反馈控制与自适应控制相结合的控制方法.基于线性矩阵不等式技术给出相应控制器参数的求解条件.与现有大多数自适应控制方法相比,所提方法不仅使估计误差几乎处处有界,而且原系统的系统状态几乎处处渐近稳定,具有较好的收敛特性.在所得结果的基础上,进一步讨论了转移速率部分未知时的相关控制问题.数值算例验证了所提出的设计方法的有效性.
Aiming at the fact that the matrix parameter of Markov system is unknown, a control method based on state feedback control and adaptive control is proposed. The solution condition of the corresponding controller parameters is given based on the linear matrix inequality technique. Compared with most existing adaptive control Compared with the proposed method, the proposed method not only makes the estimation error almost bounded, but also the asymptotic stability of the original system is almost asymptotically stable and has a good convergence property. On the basis of the obtained results, we further discuss that when the transfer rate is unknown The numerical examples show the effectiveness of the proposed design method.