Input-output approach to robust stability and stabilization for uncertain singular systems with time-varying discrete and distributed delays

Based on input-output approach, the robust stability and stabilization problems for uncertain singular systemswith time-varying delays are investigated. The parameter uncertainties are assumed to be norm-bounded and the time-varying delays include both discrete delay and distributed delay. By introducing a new input-output model, the time-delay system is embedded in a family of systems with a forward system without time delay and a dynamical feedback uncertainty. A sufficient and necessary condition, which guarantees the system regular, impulse-free and stable for all admissible uncertainties, is obtained. Based on the strict linear matrix inequality, the desired robust state feedback controller is also obtained. Finally, a numerical example is provided to demonstrate the application of the proposed method.     

A robust tolerance design method based on process capability

INTRODUCTIONTolerancedesignisabridgetolinktherequirementofproductperformanceandthemanufacturingprocess;andaffectsnotonlytheproductperformance,butalsothecostoftheproductandthemanufacturingprocess.There foreComputerAidedTolerancing (CAT)be comesthekeytechniqueforintegratingCAD CAPP CAM (WuandYang,1999) .Tradition ally,thetoleranceisassignedtothecomponentdimensionsaccordingtotheminimumcost.Therestrictionofthemanufacturingabilityoftoolsthatthefactoryownsisneglected (Jietal.,1999) .Asa…     

Robust synchronization of different coupled oscillators: Application to antenna arrays

This paper deals with the synchronization of a chain of nonlinear and uncertain models of nonidentical oscillators. Using Lyapunov's theory of stability, a dynamical controller guaranteeing the synchronization of the oscillators is determined. The problem of synchronization is transformed into a problem of asymptotic stabilization for a nonlinear system and then is formulated as a system of linear matrix inequalities where the parameter variations of the two oscillators and their differences are modeled by polytopic matrices. The theoretical result is successfully applied to an array of transistor-based oscillators used in “smart antenna” systems.     

Robust preliminary analysis of large-scale linear model for optimal industrial investments

Which equipment should be bought for a given sum to increase the profit of an industrial enterprize with a known specification of production within given limits? This problem is described as a large-scale linear program (LP) of a specific structure. An effective preliminary analysis for this structure was proposed in Ioslovich and Makarenkov [On methods of dimensionality reduction in linear programming, Econ. Math. Methods Moscow (in Russian) 11(3) (1975) 316-324] which aimed to reduce the size of the problem by detection of the redundant and active constraints. In this paper a robust system is considered, dealing with box-constrained uncertainties in the input coefficients. The analysis is based on robust evaluations of bounds for primal and dual constraints. A robust evaluation of uncertain duals presented in [I. Ioslovich, P.-O. Gutman, Robust redundancy determination and evaluation of the dual variables of linear programming problems in the presence of uncertainty, 1, in, V. Kucera, M. Sebek (Eds.), Proceedings of 3rd IFAC Symposium on Robust Control Design (ROCOND 2000), IFAC, Prague, Czech Republic, Elsevier Science, Amsterdam, 2000, paper 115] is essentially used.     

An LMI approach to robust H∞ filtering for uncertain systems with time-varying distributed delays

In this paper, the problem of robust H_∞ filtering for uncertain systems with time-varying distributed delays is considered. The uncertainties under discussion are time varying but norm bounded. Based on the Lyapunov stability theory, sufficient condition for the existence of full order H_∞ filters is proposed by linear matrix inequality (LMI) approach such that the filtering error system is asymptotically sable and satisfies a prescribed attenuation level of noise. A numerical example is given to demonstrate the availability of the proposed method.     

不确定时滞系统的鲁棒控制

研究了一类带有状态时滞和控制时滞的不确定时滞系统的鲁棒控制问题。基于Lyapunov稳定性理论,给出一个使系统指数稳定的鲁棒控制器设计方案。     

Environment map building and localization for robot navigation based on image sequences

SLAM is one of the most important components in robot navigation. A SLAM algorithm based on image sequences captured by a single digital camera is proposed in this paper. By this algorithm, SIFT feature points are selected and matched between image pairs sequentially. After three images have been captured, the environment＇s 3D map and the camera＇s positions are initialized based on matched feature points and intrinsic parameters of the camera. A robust method is applied to estimate the position and orientation of the camera in the forthcoming images. Finally, a robust adaptive bundle adjustment algorithm is adopted to optimize the environment＇s 3D map and the camera＇s positions simultaneously. Results of quantitative and qualitative experiments show that our algorithm can reconstruct the environment and localize the camera accurately and efficiently.     

观测值服从污染正态分布的抗差估计

利用等价权原理,讨论了观测服从污染正态分布的抗差估计,并利用估计的影响函数,说明所给出的估计能减免粗差干扰.     

一类时滞神经网络的鲁棒稳定性分析

针对一类含有时变时滞和参数不确定性的神经网络,研究了它的鲁棒稳定性．利用线性矩阵不等式（LMI）方法,得到一个新的时滞依赖的结论,结论以线性矩阵不等式的形式给出,便于直接应用．最后的数值例子说明了所得结论的有效性和优越性．     

一类具有时滞的不确定系统的鲁棒稳定性

本文利用Alekseev公式和Bellman－Gronuwall不等式,讨论了一类具有时滞的不确定中立型微分系统的鲁棒稳定性问题,给出了不确定系统在具有时滞的反馈控制下是渐近稳定的充分条件。