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首页> 外文期刊>Journal of the Chinese Society of Mechanical Engineers, Series C: Transactions of the Chinese Society of Mechanical Engineers >Numerical evaluation of stochastic control systems under randomly varying distributed delays
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Numerical evaluation of stochastic control systems under randomly varying distributed delays

机译:随机变化时滞下随机控制系统的数值评估

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This paper provides numerical evaluation and verifies spacial properties of the Linear Quadratic Coupled Delay Compensator (LQCDC) which was designed to circumvent the effects of the randomly varying distributed delays, both from sensor to controller and from controller to actuator, in addition to the time skew caused by mis- synchronization of sensor and controller sampling instants. With ensured numerical convergence, an oblique projection matrix is established such that its column and row spaces, respectively, constitute the control and estimation subspaces of the coupled delay compensator. Factorization of the projection matrix and a calculation method to find the steady state control gains are suggested. Two illustrative examples are demonstrated. One is used as a counter example to explore the potential instability of the linear quadratic Guassian controller that is valid only if the certainty equivalence principle holds. The other demonstrates the simulation experiment results of an aircraft flight control in longitudinal motion to verify the superiority and stability with respect to delay traffic uncertainty of the proposed LQCDC.
机译:本文提供了数值评估并验证了线性二次耦合延迟补偿器(LQCDC)的空间特性,该线性补偿器旨在规避除了时滞之外从传感器到控制器以及从控制器到执行器的随机变化的分布式延迟的影响。由传感器和控制器采样瞬间的不同步引起的。在确保数值收敛的情况下,建立倾斜投影矩阵,使得其列和行空间分别构成耦合延迟补偿器的控制和估计子空间。提出了投影矩阵的分解和计算稳态控制增益的计算方法。演示了两个说明性示例。以一个反例为例,研究线性二次Guassian控制器的潜在不稳定性,该不确定性仅在确定性等价原理成立时才有效。另一个演示了纵向飞行中飞机飞行控制的仿真实验结果,以验证所提出的LQCDC在延误交通不确定性方面的优越性和稳定性。

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