A comparative study of the robustness of two pose estimation techniques

The paper presents an analysis of the stability of pose estimation. Stability is defined as sensitivity of the pose parameters towards noise in image features used for estimating pose. The specific emphasis of the analysis is on determining {how the stability varies with viewpoint} relative to an object and to understand the relationships between object geometry, viewpoint, and pose stability. Two pose estimation techniques are investigated. One uses a numerical scheme for finding pose parameters; the other is based on closed form solutions. Both are “pose from trihedral vertices” techniques, which provide the rotation part of object pose based on orientations of three edge segments. The analysis is based on generalized sensitivity analysis propagating the uncertainty in edge segment orientations to the resulting effect on the pose parameters. It is shown that there is a precomputable, generic relationship between viewpoint and pose stability, and that there is a drastic difference in stability over the range of viewpoints. This viewpoint variation is shared by the two investigated techniques. Additionally, the paper offers an explicit way to determine the most robust viewpoints directly for any given vertex model. Experiments on real images show that the results of the work can be used to compute the variance in pose parameters for any given pose. For the predicted {instable} viewpoints the variance in pose parameters is on the order of 20 (degrees squared), whereas the variance for robust viewpoints is on the order of 0.05 (degrees squared), i.e., two orders of magnitude difference.     

A frequency domain approach to fault detection in sampled-data systems

This paper deals with fault detection problems in sampled-data (SD) systems. A tool is first introduced for the analysis of intersample behavior of SD systems in the frequency domain from the viewpoint of fault detection and isolation. Based on it, a direct design approach of fault detection systems for SD systems is proposed, and further the problem of full decoupling from unknown disturbances is studied.     

Regulator problem for uncertain linear discrete-time systems with constrained control

A necessary and sufficient condition to test the robustness of a regulator of uncertain linear systems with constrained control is given. The candidate regulator for this test is that stabilizing nominal systems. An illustrative example is also given.     

时滞不确定系统的鲁律性分析

此文利用解的估计方法和比较定理，研究了线性时滞不确定系统的鲁棒性问题，得到了用状态反馈来镇定这类系统的充分条件，并给出了此类系统具有任意希望的鲁棒性条件．     

Robustness of VS-MRAC with respect to unmodelled dynamics and external disturbances

A variable structure model reference adaptive controller (VS-MRAC) using only input and output measurements was recently proposed and shown to be globally asymptotically stable with superior transient behaviour and disturbance rejection properties. In this paper a singular perturbation approach is used in order to establish the robustness of the controller in the presence of unmodelled dynamics (parasitics) and disturbances. We develop a new Lyapunov-based technique to analyse the overall system and show that for sufficiently small parasitics the system remains stable and the output error is small in some sense.     

非线性理论在计算机视觉中的应用

针对目前计算机视领域中普遍存在的大量非线性问题以及此带来的鲁棒必差、效率低等问题，结合目前比较新的解决非线性问题的方法，诸如同伦法、吴方法以及Ａｄｏｍａｉｎ方法等，对一系列计算机视觉中的非线性问题给出了比较满意的解答。     

一种简单非线性PID控制在电液伺服系统中的应用研究

本文给出一种简单非线性PID控制器的设计方法。该控制器设计简单．有较好的适应性、鲁棒性和抗干扰性，通过其在电液伺服系统中的应用表明该方法的有效性和可行性，该控制方案能用于机器人等复杂的控制系统中，有较好的应用前景。     

Characteristics of practical control for point-to-point (PTP) positioning systems: Effect of design parameters and actuator saturation on positioning performance

In this study, a nominal characteristic trajectory following (NCTF) controller for point-to-point (PTP) positioning systems is introduced and its performance is evaluated. The NCTF controller consists of a nominal characteristic trajectory (NCT) and a compensator. The objective of the NCTF controller is to make the object motion follow the NCT and end at its origin. Therefore, the NCT is used as an intended object motion and the compensator is used to make the motion of the controlled object follow the NCT. The NCTF controller is designed based on a simple open-loop experiment of the object and no information except the NCT is necessary for controller design. The effectiveness of the NCTF controller is evaluated and discussed through simulations and experiments using an experimental rotary positioning system. The effect of the design parameters on the robustness of the NCTF controller to inertia and friction variations is evaluated and the influence of saturation on the positioning performance is examined. Moreover, the effects of the saturation on the positioning performance and robustness are compared with those of conventional PID ones. It is proved that the NCTF controller is much more accurate and robust to inertia and friction variations than the PID controllers, even if the saturation occurs.     

函数再现机构的模糊稳健优化设计方法

针对函数再现机构的综合问题 ,分析了可控因素与不可控因素对机构运动精度的影响 ,探讨了机构运动精度设计目标的模糊特性 ,提出了模糊稳健设计准则 ,给出了模糊稳健优化设计数学建模方法。设计实例和理论分析表明 ,该方法能使机构运动精度和各尺寸的制造公差得到合理匹配 ,具有工程实用价值     

基于蚂蚁算法的连杆角位移再现机构模糊稳健设计

引入Logistic混沌模型和最优蚂蚁保护策略对蚂蚁算法进行了改进。对再现连杆角位移的平面连杆机构,分析了其运动精度的影响因素,建立了模糊稳健优化设计数学模型。给出了基于蚂蚁算法的模糊稳健优化设计实例,在求解机构杆长等参数的同时,还求出了各杆长的制造公差,保证了机构运动精度的稳健性。