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多螺旋桨组合浮空器LPV鲁棒变增益H_∞控制

Robust Variable Gain H_∞ Control for Multi-Propeller Aerostat Based on LPV

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【作者】 张昊陈丽

【Author】 ZHANG Hao;CHEN Li;School of Aeronautics and Astronautics,Shanghai Jiao Tong University;

【机构】 上海交通大学航空航天学院

【摘要】 以无舵面多螺旋桨组合浮空器为研究对象,建立了浮空器的非线性动力学模型,采用雅克比线性化的方法获得了浮空器纵向运动的线性变参数(LPV)模型。通过LPV的多胞模型转换,得到浮空器LPV多胞系统,然后采用求解线性矩阵不等式(LMI)的方法求得满足各个顶点稳定性要求的状态反馈控制器,再利用多面体顶点特性得到了满足整个工作空间的鲁棒变增益H∞控制器,并针对非线性模型进行前飞速度跟踪,仿真结果证明上述设计方法的有效性。

【Abstract】 Afin-less aerostat with multi-propeller was proposed in this paper,the nonlinear dynamic model was established and the longitudinal model was transformed into a LPV form by Jacobian linearization method. A finite number of LTI polytopic vertex system was obtained through the transformation,then the state-feedback controller satisfying H∞performance was designed in each vertex using linear matrix inequalities( LMIs) approach,. Finally,a robust variable gain H∞controller was synthesized via convex decomposition techniques. The velocity tracking based on nonlinear model was carried out with the designed controller,simulation results illustrate the validity of the designed controller.

【基金】 国家自然科学基金(61175074,11272205)
  • 【文献出处】 计算机仿真 ,Computer Simulation , 编辑部邮箱 ,2014年05期
  • 【分类号】V448.2
  • 【被引频次】8
  • 【下载频次】128
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