In this paper, we study a single server queueing system with Coxian-2 service. In Particular, we study M/C-2/M/1 queue with Coxian-2 service and exponential vacation. We assume that units (customers) arrive at t...In this paper, we study a single server queueing system with Coxian-2 service. In Particular, we study M/C-2/M/1 queue with Coxian-2 service and exponential vacation. We assume that units (customers) arrive at the system one by one in a Poisson process and the server provides one-by-one service based on first in first out (FIFO) rule. We obtained the steady state queue size distributions in terms of the probability generating functions, the average number of customers and their average waiting time in the system as well as in the queue.展开更多
We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson stream...We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson streams. Under a non-preemptive priority rule, the server provides a general service to the priority units and a deterministic service to the non-priority units. We further assume that the server may take a vacation of random length just after serving the last priority unit present in the system. We obtain steady state queue size distribution at a random epoch. Corresponding results for some special cases, including the known results of the M/G/1 and the M/D/1 queues, have been derived.展开更多
针对存在参数不确定及外部扰动下的高超声速飞行器轨迹跟踪控制问题,研究了一种基于反步法的抗干扰滑模控制设计方法.将非线性高超声速飞行器动力学模型表达为严反馈形式分步进行设计.采用滑模控制方法进行每步的控制器设计,并提出采用...针对存在参数不确定及外部扰动下的高超声速飞行器轨迹跟踪控制问题,研究了一种基于反步法的抗干扰滑模控制设计方法.将非线性高超声速飞行器动力学模型表达为严反馈形式分步进行设计.采用滑模控制方法进行每步的控制器设计,并提出采用扩展状态观测器(ESO,Extended State Observer)方法实现对参数不确定及外部扰动产生的内外干扰进行估计,继而在控制中补偿.扩展状态观测器能保证对干扰的估计收敛到真值附近的邻域内,从而能够保证较好的补偿效果.通过0.5°附加干扰攻角和25%的气动参数偏差下的非线性高超声速飞行器动力学模型仿真结果验证了该抗干扰滑模控制方案对内外干扰的抑制效果和闭环系统良好的跟踪性能.展开更多
文摘In this paper, we study a single server queueing system with Coxian-2 service. In Particular, we study M/C-2/M/1 queue with Coxian-2 service and exponential vacation. We assume that units (customers) arrive at the system one by one in a Poisson process and the server provides one-by-one service based on first in first out (FIFO) rule. We obtained the steady state queue size distributions in terms of the probability generating functions, the average number of customers and their average waiting time in the system as well as in the queue.
文摘We study a vacation queueing system with a single server simultaneously dealing with an M/G/1 and an M/D/1 queue. Two classes of units, priority and non-priority, arrive at the system in two independent Poisson streams. Under a non-preemptive priority rule, the server provides a general service to the priority units and a deterministic service to the non-priority units. We further assume that the server may take a vacation of random length just after serving the last priority unit present in the system. We obtain steady state queue size distribution at a random epoch. Corresponding results for some special cases, including the known results of the M/G/1 and the M/D/1 queues, have been derived.
文摘针对存在参数不确定及外部扰动下的高超声速飞行器轨迹跟踪控制问题,研究了一种基于反步法的抗干扰滑模控制设计方法.将非线性高超声速飞行器动力学模型表达为严反馈形式分步进行设计.采用滑模控制方法进行每步的控制器设计,并提出采用扩展状态观测器(ESO,Extended State Observer)方法实现对参数不确定及外部扰动产生的内外干扰进行估计,继而在控制中补偿.扩展状态观测器能保证对干扰的估计收敛到真值附近的邻域内,从而能够保证较好的补偿效果.通过0.5°附加干扰攻角和25%的气动参数偏差下的非线性高超声速飞行器动力学模型仿真结果验证了该抗干扰滑模控制方案对内外干扰的抑制效果和闭环系统良好的跟踪性能.