For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mi...For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mixed H_2/H_∞ state feedback attitude control problem of microsatellite based on extended LMI method.Firstly,the microsatellite attitude control system is established and transformed into corresponding state space form.Then,without the equivalence restriction of the two Lyapunov variables of H_2 and H∞performance,this paper introduces additional variables to design the mixed H_2/H_∞ control method based on LMI which can also reduce the conservatives.Finally,numerical simulations are analyzed to show that the proposed method can make the satellite stable within 20 s whether there is additive perturbation of the controller gain or not.The comparative analysis of the simulation results between extended LMI method and traditional LMI method also demonstrates the effectiveness and feasibility of the proposed method in this paper.展开更多
In the paper, the problem of H∞ decentralized state feedback control for largescale systems is described. An algorithm is proposed which uses the method of a feasible direction matrix. The algorithm only requires the...In the paper, the problem of H∞ decentralized state feedback control for largescale systems is described. An algorithm is proposed which uses the method of a feasible direction matrix. The algorithm only requires the solution of an algebraic Riccati equation (ARE) and makes the H∞norm of the closedloop transfer function matrix from disturbance inputs to controlled outputs less than a given constant which ensure the stability of the overall controlled system at each iteration. The given example shows that the convergence of the algorithm is satisfactory.展开更多
The problem of global stabilization by state feedback for a class of time-delay nonlinear system is considered. By constructing the appropriate Lyapunov-Krasovskii functionals (LKF) and using the backstepping design, ...The problem of global stabilization by state feedback for a class of time-delay nonlinear system is considered. By constructing the appropriate Lyapunov-Krasovskii functionals (LKF) and using the backstepping design, a linear state feedback controller making the closed-loop system globally asymptotically stable is constructed.展开更多
Methods which calculate state feedback matrices explicitly for uncontrollable systems are considered in this paper. They are based on the well-known method of the entire eigenstructure assignment. The use of a particu...Methods which calculate state feedback matrices explicitly for uncontrollable systems are considered in this paper. They are based on the well-known method of the entire eigenstructure assignment. The use of a particular similarity transformation exposes certain intrinsic properties of the closed loop w-eigenvectors together with their companion z-vectors. The methods are extended further to deal with multi-input control systems. Existence of eigenvectors solution is established. A differentiation property of the z-vectors is proved for the repeated eigenvalues assignment case. Two examples are worked out in detail.展开更多
现代航天器通常携带大量的液体推进剂,在轨运行时推进剂的消耗将导致等效模型参数的改变.为了获取准确的等效模型参数并将其引入GNC(guidance,navigation and control)系统闭环控制,提高航天器的姿态控制精度,文章提出一种基于平方根容...现代航天器通常携带大量的液体推进剂,在轨运行时推进剂的消耗将导致等效模型参数的改变.为了获取准确的等效模型参数并将其引入GNC(guidance,navigation and control)系统闭环控制,提高航天器的姿态控制精度,文章提出一种基于平方根容积卡尔曼滤波(SR-CKF)的等效模型参数在轨辨识策略.首先,为了建立适用于金属膜片贮箱的等效模型,在等效球摆模型的悬挂点施加扭簧-阻尼器以等效金属膜片对推进剂的刚度-阻尼效应,并借助Kane方法建立了航天器刚-液耦合动力学方程.其次,针对状态反馈反步控制器中等效模型参数未知的情形,提出一种基于SR-CKF的等效模型参数在轨辨识策略.该策略可在航天器完成一次大角度姿态机动任务的同时,根据星载角速度计数据在线辨识出等效模型的各项参数以及贮箱内推进剂的剩余量,并预测出推进剂的分布运动状态.最后,数值仿真结果表明了提出的在轨辨识策略的有效性和必要性.文章的工作对于航天器GNC系统中等效模型的校准迭代、研究推进剂在轨晃动行为及预测航天器服役年限具有重要参考价值.展开更多
文摘For the appearance of the additive perturbation of controller gain when the controller parameter has minute adjustment at the initial running stage of system,to avoid the adverse effects,this paper investigates the mixed H_2/H_∞ state feedback attitude control problem of microsatellite based on extended LMI method.Firstly,the microsatellite attitude control system is established and transformed into corresponding state space form.Then,without the equivalence restriction of the two Lyapunov variables of H_2 and H∞performance,this paper introduces additional variables to design the mixed H_2/H_∞ control method based on LMI which can also reduce the conservatives.Finally,numerical simulations are analyzed to show that the proposed method can make the satellite stable within 20 s whether there is additive perturbation of the controller gain or not.The comparative analysis of the simulation results between extended LMI method and traditional LMI method also demonstrates the effectiveness and feasibility of the proposed method in this paper.
基金theNational+4 种基金 Natural Science Foundation of China
文摘In the paper, the problem of H∞ decentralized state feedback control for largescale systems is described. An algorithm is proposed which uses the method of a feasible direction matrix. The algorithm only requires the solution of an algebraic Riccati equation (ARE) and makes the H∞norm of the closedloop transfer function matrix from disturbance inputs to controlled outputs less than a given constant which ensure the stability of the overall controlled system at each iteration. The given example shows that the convergence of the algorithm is satisfactory.
基金supported by National Natural Science Foundation of China(61374065,61374002,61503225,61573215)the Research Fund for the Taishan Scholar Project of Shandong Province of Chinathe Natural Science Foundation of Shandong Province(ZR2015FQ003)
基金Supported by the "973" Project of P. R. China (G1998020300)
文摘The problem of global stabilization by state feedback for a class of time-delay nonlinear system is considered. By constructing the appropriate Lyapunov-Krasovskii functionals (LKF) and using the backstepping design, a linear state feedback controller making the closed-loop system globally asymptotically stable is constructed.
文摘Methods which calculate state feedback matrices explicitly for uncontrollable systems are considered in this paper. They are based on the well-known method of the entire eigenstructure assignment. The use of a particular similarity transformation exposes certain intrinsic properties of the closed loop w-eigenvectors together with their companion z-vectors. The methods are extended further to deal with multi-input control systems. Existence of eigenvectors solution is established. A differentiation property of the z-vectors is proved for the repeated eigenvalues assignment case. Two examples are worked out in detail.
文摘现代航天器通常携带大量的液体推进剂,在轨运行时推进剂的消耗将导致等效模型参数的改变.为了获取准确的等效模型参数并将其引入GNC(guidance,navigation and control)系统闭环控制,提高航天器的姿态控制精度,文章提出一种基于平方根容积卡尔曼滤波(SR-CKF)的等效模型参数在轨辨识策略.首先,为了建立适用于金属膜片贮箱的等效模型,在等效球摆模型的悬挂点施加扭簧-阻尼器以等效金属膜片对推进剂的刚度-阻尼效应,并借助Kane方法建立了航天器刚-液耦合动力学方程.其次,针对状态反馈反步控制器中等效模型参数未知的情形,提出一种基于SR-CKF的等效模型参数在轨辨识策略.该策略可在航天器完成一次大角度姿态机动任务的同时,根据星载角速度计数据在线辨识出等效模型的各项参数以及贮箱内推进剂的剩余量,并预测出推进剂的分布运动状态.最后,数值仿真结果表明了提出的在轨辨识策略的有效性和必要性.文章的工作对于航天器GNC系统中等效模型的校准迭代、研究推进剂在轨晃动行为及预测航天器服役年限具有重要参考价值.
