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线性系统对偶Luenberger观测器设计 总被引:1,自引:0,他引:1
提出了线性系统对偶Luenberger观测器的参数化设计方法.基于一类广义Sylvester矩阵方程的显式参数化解,根据一些自由参数给出了对偶Luenberger观测器所有增益矩阵的参数化表达.该设计方法能提供所有的设计自由度,它们能进一步用来实现系统的其他性能指标.数值例子显示了该方法的设计过程. 相似文献
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This note constructs a functional observer for second-order linear time-varying (SOLTV) systems under framework of second-order systems. Based on the assumption that the SOLTV system is observable, sufficient conditions for the existence of a second-order functional observer are proposed. Combined with the solution of generalized Sylvester equation (GSE), the completely parameterized expressions of coefficient matrices of functional observer are proposed, which includes the free parameters representing degrees of freedom, and can be utilized to achieve some additional performance. Further, the design procedure is put forward, whose validity is verified through an example. 相似文献
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Eigenstructure assignment in a class of second-order descriptor linear systems: A complete parametric approach 总被引:1,自引:0,他引:1
Guang-Ren Duan Center for Control Theory Guidance Technology Harbin Institute of Technology P. O. Box Harbin PRC Guo-Sheng Wang Department of Control Engineering Academy of Armored Force Engineering Beijing PRC 《国际自动化与计算杂志》2005,2(1):1-5
1 Introduction Second-order linear systems capture the dynamic behaviour of many natural phenomena and have found wide applications[1~4] in robotics, vibration and structure analysis etc. Many results in second- order linear systems have focused on eigenstructure assignment[5~10] as an important design method. Most of the results relating to eigenstructure assignment are derived from conventional second-order linear systems. There have been few reported results produced from eigenstructure a… 相似文献
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本文针对线性描述系统研究了其有限时间函数观测器的设计方法和存在条件.首先,通过构造两个结构上完全相同的渐近收敛观测器得到了一个新的有限时间函数观测器,它可以在任意给定的时间内达到对目标函数的精确估计,且估计精度和收敛时间不依赖于原系统的初始条件.随后,对该函数观测器的存在条件进行了详细讨论,给出了函数观测器存在的充分必... 相似文献
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M. Zeitz 《Systems & Control Letters》1987,9(2)
For nonlinear single-input single-output systems
, the relationships for a state transformation into the nonlinear observer canonical form are developed. It is possible to dimension a nonlinear observer by an eigenvalue assignment without solving the nonlinear partial differential equations for the transformation, if the transformed nonlinearities are linearized about the reconstructed state. With reference to the extended Kalman filter algorithm, this nonlinear observer design is called the extended Luenberger observer. 相似文献
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周正 《动力学与控制学报》2013,11(3):284-288
研究了Lurie广义系统基于状态观测器的控制器设计问题.通过使用Lyapunov稳定性理论,线性矩阵不等式方法,分别给出了状态反馈控制器和观测器的设计方法,并建立了分离原理,进而得到了基于观测器的控制器设计方法.所得结论对广义系统理论本身的发展和实际应用都有非常重要的意义.最后给出了仿真实例. 相似文献
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广义线性系统的干扰解耦观测器设计 总被引:6,自引:0,他引:6
提出了广义线性系统的Luenberger函数观测器关于干扰解耦的充要条件,并进一步基于广义Sylvester矩阵方程的显式通解给出了干扰解耦观测器的参数化设计方法.这种方法首先给出了观测器增益矩阵的参数表示,然后通过结合观测器增益矩阵的参数表示和提出的干扰解耦条件,给出了设计广义线性系统干扰解耦观测器的算法.数值例子说明了本文设计方法的有效性. 相似文献
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A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach. 相似文献
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A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the right factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach. 相似文献
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