A family of lower- and higher-order transversal linearization techniques in non-linear stochastic engineering dynamics

Sample pathwise numerical integration of noise-driven engineering dynamical systems cannot generally be performed beyond a limited level of accuracy, especially when the noise processes are modelled using (filtered) white noises. Recently, a locally transversal linearization (LTL) strategy has been proposed by the author (Proc Roy Soc London A 2001; 457 :539–566) for direct integration of deterministic and stochastic non-linear dynamical systems. The present effort is focussed on a host of extensions along with detailed theoretical error analyses of the linearization approach, especially as applied to problems in non-linear stochastic engineering dynamics. Thus, to begin with, estimates of local and global error orders in the basic LTL scheme are obtained separately for the displacement and velocity vectors when the system is driven either by a set of additive noises or by an arbitrary combination of (independently evolving) additive and multiplicative noises. Following this, a new family of higher-order LTL schemes is proposed in order to improve upon the basic LTL method and the associated error orders are established. A stepwise implementation of the lower- and higher-order versions of the LTL method, along with certain computational aspects, is also outlined. The proposed schemes are numerically illustrated, to a limited extent, for a single degree-of-freedom (SDOF) and a two degree-of-freedom (TDOF) non-linear engineering systems under additive and/or multiplicative white noise excitations. Copyright © 2004 John Wiley & Sons, Ltd.     

Integrated Smart Sensor Calibration

In many applications electronic sensors are used toimprove performance and reliability of measurement systems. Suchsensors should provide a correct transfer from the physical signalto be measured to the electrical output signal. One importantstep to achieve this, is to calibrate each sensor by applyingdifferent reference input signals and adjusting the sensor transferaccordingly. Besides expensive reference equipment the calibrationprocess takes much time and attention per individual sensor,which means a considerable increase in sensor production costs.By including at the sensor or sensor interface chip a programmablecalibration facility the calibration of such smart sensors caneasily be automated and can be executed for a batch of sensorsat a time, thus minimizing the calibration time and costs. Thispaper presents a calibration method and options for integrationin the smart sensor concept, in hardware as well as in software.An advantage of the proposed method is that it does not needa large matrix of calibration data, which needs to be storedin a look-up table or converted into a correction formula, butinstead it uses a step-by-step approach to correct the sensortransfer at each calibration measurement until the error is sufficientlysmall.     

微波功率放大器预失真线性化技术分析

给出了两种基本形式的预失真线性化电路,对其工作原理和技术特点进行了分析。     

Robust pole assignment for incomplete nonlinear decoupling applied to robots

A robustness analysis and synthesis for incomplete nonlinear decoupling for a class of nonlinear systems is discussed. Rigid and elastic-joint robot models belong to this class. For the elastic case, a transformation facilitates the robustness analysis under a weak assumption. Charts with H ₁- and H - norms of closed-loop disturbance transfer functions of the nonlinear-decoupled system are presented for a robust pole assignment.     

Comments on “Exact and approximate feedback linearization without the linear controllability assumption [Automatica 48 (2012) 2221–2228]”

The conditions for state feedback linearization suggested in the aforementioned article are shown, by means of counterexamples, not to be sufficient. In view of this, modified results are proposed for ensuring the sufficiency.     

磁悬浮系统的控制方法研究

对于电磁吸浮型磁浮列车,悬浮控制是其关键部分,由于该系统的非线性和不稳定性,需要通过主动控制使其稳定悬浮。建立了磁悬浮列车悬浮系统模型,针对模型的非线性问题,采用精确反馈线性化将悬浮系统的非线性模型线性化,然后用闭环增益成形算法设计出非线性鲁棒控制器。用MATLAB的Simulink对具有扰动的非线性模型进行仿真,仿真结果表明控制效果没有静差和超调,调节时间快。     

非线性尺寸链卷积算法的计算偏差修正

在统计公差卷积算法中,非线性装配函数的线性化会使计算结果产生偏差,并影响公差分析的精度．为了减小非线性装配函数线性化所产生的计算偏差,提出了一种偏差修正方法,分析了修正偏差的原理．该方法可有效地提高公差分析的精度,并用实例说明了该方法的有效性．     

Investigation on full vehicle height control algorithm using feedback linearization method

Aiming to improve the control accuracy of the vehicle height for the air suspension system, deeply analyzing the processes of variable mass gas thermodynamics and vehicle dynamics, a nonlinear height control model of the air suspension vehicle was built. To deal with the nonlinear characteristic existing in the lifting and lowering processes, the nonlinear model of vehicle height control was linearized by using a feedback linearization method. Then, based on the linear full vehicle model, the sliding model controller was designed to achieve the control variables. Finally, the nonlinear control algorithm in the original coordinates can be achieved by the inverse transformation of coordinates. To validate the accuracy and effectiveness of the sliding mode controller, the height control processes were simulated in Matlab, i.e., the lifting and lowering processes of the air suspension vehicle were taken when vehicle was in stationary and driving at a constant speed. The simulation results show that, compared to other controllers, the designed sliding model controller based on the feedback linearization can effectively solve the "overshoot" problem, existing in the height control process, and force the vehicle height to reach the desired value, so as to greatly improve the speed and accuracy of the height control process. Besides, the sliding mode controller can well regulate the roll and pitch motions of the vehicle body, thereby improving the vehicle''s ride comfort.     

温室大棚温湿度跟踪切换最优控制器

温室大棚中的温湿度系统具有非线性、耦合关系强和滞后等特性,为了实现对温室的温湿度控制,建立了基于能量和质量平衡的温室大棚环境机理模型.针对温室大棚控制系统的非线性,对多个工作点系统进行线性化,得到了一组线性系统模型.基于切换思想,在不同工作点附近采用不同的系统模型参数;基于线性二次型性能指标,设计了温湿度跟踪切换最优控制器,并通过共同Lyapunov函数法验证了该切换系统的稳定性.仿真结果表明,设计的控制器可以很好地实现对温湿度目标值的跟踪控制.     

双电机驱动关节的线性化控制研究

本文基于齿轮传动系统存在的齿隙非线性问题,提出了一种双电机驱动双主动齿轮啮合同一从动齿轮的驱动方案。设计了双电机协调控制算法,包括力矩线性化控制算法与单速度环速度反馈线性化控制算法,解决了电机齿轮传动系统运动过程中的齿隙非线性问题。本文首先介绍了双电机消隙原理与控制方案,然后建立双电机系统控制模型进行分析,最后搭建仿真模型进行控制方案的验证。仿真结果表明,本文所提出的双电机控制方案可以有效地解决齿轮传动中的齿隙非线性问题。