In this paper we derive some inequalities for traces and singular values of the quaternion matrices,extend and improve some of the corresponding results appeared in other papers we know.
This paper focuses on synthesizing a mixed robust H_2/H_∞ linear parameter varying（LPV） controller for the longitudinal motion of an air-breathing hypersonic vehicle via a high order singular value decomposition（H...This paper focuses on synthesizing a mixed robust H_2/H_∞ linear parameter varying（LPV） controller for the longitudinal motion of an air-breathing hypersonic vehicle via a high order singular value decomposition（HOSVD） approach.The design of hypersonic flight control systems is highly challenging due to the enormous complexity of the vehicle dynamics and the presence of significant uncertainties.Motivated by recent results on both LPV control and tensor-product（TP） model transformation approach,the velocity and altitude tracking control problems for the air-breathing hypersonic vehicle is reduced to that of a state feedback stabilizing controller design for a polytopic LPV system with guaranteed performances.The controller implementation is converted into a convex optimization problem with parameterdependent linear matrix inequalities（LMIs） constraints,which is intuitively tractable using LMI control toolbox.Finally,numerical simulation results demonstrate the effectiveness of the proposed approach.展开更多
针对不确定线性分数阶奇异系统的鲁棒稳定性问题,将连续频率分布等价模型引入分数阶奇异系统中,应用间接李亚普诺夫方法,设计了一个PD(Proportional-Derivative)控制器,将奇异系统正常化,给出了阶次在0<α<1范围内分数阶奇异系统...针对不确定线性分数阶奇异系统的鲁棒稳定性问题,将连续频率分布等价模型引入分数阶奇异系统中,应用间接李亚普诺夫方法,设计了一个PD(Proportional-Derivative)控制器,将奇异系统正常化,给出了阶次在0<α<1范围内分数阶奇异系统全新的鲁棒渐近稳定的充分条件。利用Matlab的LMI(Linear Matrix Inequalities)工具箱及矩阵的奇异值分解(SVD:Singular Value Decomposition)求解控制器的增益,用仿真算例及数据验证该方法的有效性。展开更多
文摘In this paper we derive some inequalities for traces and singular values of the quaternion matrices,extend and improve some of the corresponding results appeared in other papers we know.
基金Supported by National Natural Science Foundation of China（60574011）
Acknowledgement The authors would like to thank Professor YANG Guang-Hong for his guidance.
基金supported by the National Natural Science Foundation of China(6120300761304239+1 种基金61503392)the Natural Science Foundation of Shaanxi Province(2015JQ6213)
文摘This paper focuses on synthesizing a mixed robust H_2/H_∞ linear parameter varying（LPV） controller for the longitudinal motion of an air-breathing hypersonic vehicle via a high order singular value decomposition（HOSVD） approach.The design of hypersonic flight control systems is highly challenging due to the enormous complexity of the vehicle dynamics and the presence of significant uncertainties.Motivated by recent results on both LPV control and tensor-product（TP） model transformation approach,the velocity and altitude tracking control problems for the air-breathing hypersonic vehicle is reduced to that of a state feedback stabilizing controller design for a polytopic LPV system with guaranteed performances.The controller implementation is converted into a convex optimization problem with parameterdependent linear matrix inequalities（LMIs） constraints,which is intuitively tractable using LMI control toolbox.Finally,numerical simulation results demonstrate the effectiveness of the proposed approach.
文摘针对不确定线性分数阶奇异系统的鲁棒稳定性问题,将连续频率分布等价模型引入分数阶奇异系统中,应用间接李亚普诺夫方法,设计了一个PD(Proportional-Derivative)控制器,将奇异系统正常化,给出了阶次在0<α<1范围内分数阶奇异系统全新的鲁棒渐近稳定的充分条件。利用Matlab的LMI(Linear Matrix Inequalities)工具箱及矩阵的奇异值分解(SVD:Singular Value Decomposition)求解控制器的增益,用仿真算例及数据验证该方法的有效性。
