Feedback diagonal canonical form and its application to stabilization of nonlinear systems

~~Feedback diagonal canonical form and its application to stabilization of nonlinear systems1. Aeyels, D., Stabilization of a class of non-linear systems by a smooth feedback control, Sys. Contr. Lett., 1985, 5: 289-294. 2. Behtash, S., Dastry, D., Stabilization of non-linear systems with uncontrollable linearization, IEEE Trans. Aut. Contr., 1988, 33(6): 585-590. 3. Byrnes, C. I., Isidori, A., Willems, J. C., Passivity, feedback equivalence, and the global stabilization of …     

How to Steer a Quantum System over a Schrödinger Bridge

A new approach to the steering problem for the Schrödinger equation relying on stochastic mechanics and on the theory of Schrödinger bridges is presented. Given the initial and final states ₀ and ₁, respectively, the desired quantum evolution is constructed with the aid of a reference quantum evolution. The Nelson process corresponding to the latter evolution is used as reference process in a Schrödinger bridge problem with marginal probability densities | ₀|² and | ₁|². This approach is illustrated by working out a simple Gaussian example. PACS: 03.65.-w     

A sufficient condition of controllability of RLCM active networks over F(z)

This paper defines the separability of an RLCM active network and finds a sufficient condition that the active network is controllable and observable over F(z) if its passive network is controllable and observable over F(z). So the controllability (observability) criteria in (Proc. IEEE ISCAS, 2005) can be used to analyse and design active networks. Copyright © 2006 John Wiley & Sons, Ltd.     

经济系统的现代控制分析

本文以宏观经济学中关于国民收入、消费、投资、政府支出四者关系的动态乘数——加速数模型为基础,应用现代控制理论中的状态空间法把这一动态经济系统描述成状态空间形式,并对其进行了稳定性、能控性、能观性的理论分析,在此基础上阐述了如何改善系统的稳定性.最后,用实例对此理论分析给予验证.     

对称非线性控制系统的能控分解

本文利用群作用来定义非线性系统的对称性,在此基础上讨论对称系统的能控分解,并证明:若对称非线性控制系统在某点可能控分解,那么该系统在此点所属的轨道上的所有点均可能控分解;特别是若状态流形是齐次流形的话,则由系统在某一点可能控分解就能推出系统可全局能控分解。这表明,对称结构能使系统可能控分解的区域扩大。     

一般模型2－D系统的观测器设计理论

该文讨论了２－Ｄ一般模型（２ＤＧＭ）在标准边界条件下的渐近观测器的存在性条件及其设计问题．为此，首先将由Ｂｉｓｉａｃｃｏ等人在１９８５年发展起来的相应于对角边界条件的２－Ｄ渐近稳定性理论推广到了具有标准边界条件的２－Ｄ一般模型．在此基础上，借助于局部能控性概念，建立了一系列十分类似于１－Ｄ情形的观测器的存在条件，从这些存在条件出发也可以得到相应的观测器设计算法，最后还得出了２ＤＧＭ的分离性定理．     

A new recursive identification algorithm for singularity free adaptive control

Reportedly, guaranteeing the controllability of the estimated system is a crucial problem in adaptive control. In this paper, we introduce a least-squares-based identification algorithm for stochastic SISO systems, which secures the uniform controllability of the estimated system and presents closed-loop identification properties similar to those of the least-squares algorithm. The proposed algorithm is recursive and, therefore, easily implementable. Its use, however, is confined to cases in which the parameter uncertainly is highly structured.     

A graph theoretic approach to multivariable control system design

A graph theoretic approach is described for the design of multivariable control for large systems as an alternative to geometric methods. An example is given f⊙r a distillation column to demonstrate the technique, with a particular reference to aspects of disturbance rejection and the possibilities for pole assignment.     

Control of nonholonomic systems with extended base space dynamics

This paper extends certain results in Reference 1 to a more general class of nonholonomic systems with extended base space dynamics. This extension is important in applications for which control actuator dynamics are significant. These nonlinear control systems are referred to as nonholonomic control systems owing to certain nonintegrability assumptions which are made. The class of systems considered in this paper are characterized by general nonlinear base space dynamics that are input-output decouplable. Controllability results for this class of nonholonomic control systems are presented.