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摘要: 针对使用定量反馈理论进行控制系统设计时存在的鲁棒性度量等问题,结合随机鲁棒分析与设计原理,提出一种鲁棒优化设计新方法.该方法使用被控对象参数的统计信息对参数不确定性进行描述,基于闭环控制系统的蒙特卡罗仿真,将获得的闭环控制系统不稳定概率及各项性能指标的不满足概率作为闭环控制系统稳定鲁棒性和性能鲁棒性的度量,并在此基础上实现闭环控制系统的鲁棒优化设计.由某型超声速反舰导弹纵向运动控制系统的设计过程表明:该方法能够准确地描述被控对象的参数不确定性,有效解决控制系统的鲁棒性度量问题,适用于复杂控制系统的设计.Abstract: A method for optimizing the quantitative feedback theory (QFT) robust controller was presented based on stochastic robustness analysis and design (SRAD) methodology, which solved the problems, such as inadequate robustness measures in existing optimization methods for QFT robust controller. With SRAD-QFT, the probability of instability and the probabilities of unsatisfied performances of the closed-loop control system were achieved by Monte Carlo evaluation.The stability robustness and performance robustness measurements for the closed-loop control system were provided by these probabilities, based on which the QFT controller and pre-filter could be designed simultaneously. The longitudinal flight control system design for a supersonic anti-ship missile using SRAD-QFT shows that this method can accurately descript the parametric uncertainty of the plant and provide the robustness measurements of the closed-loop control system. Also, it is suitable for designing the complicated system.
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