高超声速飞行器鲁棒多目标线性变参数控制

doi:10.3969/j.issn.1000-1093.2019.11.007

摘要/Abstract

摘要： 针对具有“乘波体”构型的吸气式高超声速飞行器纵向飞行姿态控制问题，提出了一种基于区域极点配置的鲁棒多目标线性变参数（LPV）控制系统设计方法。给出吸气式高超声速飞行器纵向非线性机理模型，在此基础上建立了刚性LPV模型；针对此类LPV模型，提出了基于区域极点配置的LPV状态反馈控制系统设计方法，将系统的鲁棒稳定性、干扰抑制、跟踪性能等性能指标通过扩展线性矩阵不等式约束的方式，实现了LPV系统的多目标鲁棒跟踪控制。同时，通过引入松弛变量的方法，解除了Lyapunov函数矩阵与系统矩阵之间的耦合影响，从而降低了控制系统设计的保守性，得到了满足期望性能要求的LPV状态反馈鲁棒跟踪控制器。所设计的控制器应用于高超声速飞行器的非线性机理模型进行数值仿真验证，仿真结果表明：所设计的控制器能够使得闭环反馈控制系统有效地跟踪指令信号变化，系统动态性能良好且具有较强的抗干扰能力。

关键词: 高超声速飞行器, 线性变参数控制, 多目标控制, 松弛变量, 鲁棒跟踪

Abstract: A robust multi-objective linear parameter-varying (LPV) control method based on pole assignment in specified region is proposed for longitudinal flight control of air-breathing hypersonic vehicle with wave-rider configuration. A longitudinal nonlinear mechanism model of air-breathing hypersonic vehicle is presented, which is used for obtaining its rigid LPV model. A design method of LPV state feedback control system based on pole assignment in specified region is proposed. The robust stability, disturbance rejection and tracking performance of the system are constrained to realize the multi-objective robust tracking control of LPV system by extended linear matrix inequality. The conservatism of this method is reduced by introducing the slack variables to decouple the Lyapunov function matrix and system matrix. The designed controller is applied to the nonlinear mechanism model of hypersonic vehicle for simulation proof. The simulated results show that the designed controller can be used to make the closed-loop feedback control system effectively track the change of command signals, and the system has good dynamic performance and strong anti-interference ability. Key

Key words: hypersonicvehicle, linearparameter-varyingcontrol, multi-objectivecontrol, slackvariable, robusttracking

中图分类号:

V448.22⁺2

蔡光斌，赵阳，张胜修，杨小冈. 高超声速飞行器鲁棒多目标线性变参数控制[J]. 兵工学报, 2019, 40(11): 2229-2240.

CAI Guangbin, ZHAO Yang, ZHANG Shengxiu, YANG Xiaogang. Robust Multi-objective Linear Parameter-varying Control for Hypersonic Vehicle[J]. Acta Armamentarii, 2019, 40(11): 2229-2240.

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第40卷
第11期2019 年11月兵工学报ACTA
ARMAMENTARIIVol.40No.11Nov.2019

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