Lyapunov stability designs for switching regulator/low-pass filtersystem

The second method of Lyapunov is employed to determine quantitatively accurate criteria for asymptotic stability of the fourth-order switching-regulator/low-pass filter system. Modeling the regulator as a linearized negative resistance, this analysis provides alternative stability relationships to those found in the literature and also reveals the limitations of the Routh stability criterion. Design examples are included which ensure system stability and reduce the amplitude of the filter resonant peak (audio-susceptibility constraint)     

航空发动机鲁棒线性变参数滤波器设计

针对航空发动机线性变参数(LPV)模型部件性能参数估计问题,给出了一种新的鲁棒LPV滤波器设计方法。基于参数依赖的二次Lyapunov函数及仿射二次稳定性概念得到了稳定且满足H∞性能指标滤波器存在的充分条件,利用函数多凸性概念将其转化为线性矩阵不等式(LMI)约束下的常规凸优化问题,得到了滤波器的解。针对某型退化涡扇发动机部件性能参数估计的仿真结果表明,该滤波器的精度和鲁棒性满足设计要求。     

基于RBF神经网络的机器人鲁棒自适应控制器设计

在考虑机器人系统中存在的模型不确定性的情况下,提出了一种基于RBF神经网络和反演技术的鲁棒自适应控制器的设计方法。首先,通过状态变换将机器人的模型转换为适用于反演技术的形式;然后,利用反演技术设计了鲁棒自适应控制器,用两个RBF神经网络分别对模型的不确定性进行了处理,并用Lyapunov稳定性理论推导出RBF神经网络的权重矩阵调节律以及相关的鲁棒项,证明了系统的全局稳定性;最后,进行了相应的仿真研究,验证了设计的正确性和有效性。     

存在外部干扰的网络控制系统故障检测和优化

针对存在时延和丢包的网络控制系统,研究了系统的故障检测滤波器设计和优化设计问题.通过泰勒展开将未知时延处理成外界干扰,采用伯努利随机过程来描述丢包现象.设计观测器产生残差信号,将故障检测问题转化为H∞滤波问题.通过Lyapunov函数方法分析了系统的稳定性.以线性矩阵不等式的形式给出了滤波器存在的充分条件和求解方法.为进一步提高系统对故障信号的灵敏度,采用了一种优化设计方法对故障检测系统进行了优化.最后通过仿真验证了算法的有效性.     

考虑驾驶仪动态性能的指令滤波反演制导律

针对攻击机动目标的制导问题,设计了一种考虑自动驾驶仪性能、输入项约束的指令滤波反演制导律。首先,基于三维空间内弹目相对运动模型,采用反演递推方式设计制导律。针对传统反演控制存在的"微分膨胀"问题,引入指令滤波器对虚拟量进行过滤计算。考虑硬件计算能力的约束,引入自动驾驶仪二阶动力学模型减少控制过程延迟,并利用饱和函数和低通滤波器对输入项进行约束。此外,针对机动目标设计了一种扩张状态观测器来获取其加速度。通过Lyapunov理论证明了所设计闭环制导系统的稳定性。通过仿真实验验证了该制导律相有效性及优越性。     

Stability Analysis of a Buck Regulator Employing Input Filter Compensation

The interaction between the input filter and the regulator often causes serious degradation of performance. The reduction in loop gain due to input filter interaction can result in system instability. An exact stability analysis of the buck regulator system is presented. The input filter parameter values are varied and system instability is predicted for the case without feedforward. The eigenvalues of the system can be brought back into the unit circle and the system thus stabilized with the addition of the feedforward loop. Measurements made for the cases with and without feedforward confirm the analytical prediction.     

Adaptive Input Filter Compensation for Switching Regulators

An input filter is frequently employed between a switching regulator and its power source. However, its presence often results in degradation of dynamic performances and stability. The detrimental interaction is between an input filter and a switching regulator and is a function of the input filter parameters and also of the supply voltage. An earlier paper presented an analysis and design procedure aimed at developing a feed-forward loop to cancel this undesirable interaction. The feed-forward design is extended here to encompass a scheme that automatically accounts for changes in the supply voltage; the result is an adaptive compensation that tracks the input voltage variations. Experimental results are presented that confirm the adaptive nature of the design.     

Correction to `Lyapunov stability designs for switchingregulator/low-pass filter system'

It is noted that the results obtained in the above-titled paper (ibid., vol.25, no.5, p.602-610, Sept. 1989) are erroneous since the Lyapunov matrix equation was not solved correctly and completely. Also, erroneous conclusions resulted because a solution to the ten simultaneous equations which result from the evaluation of that equation was not obtained. These errors are corrected and the Lyapunov simultaneous equations are solved. From the design of this fourth-order system, a comparison of the Lyapunov and Routh-Hurwitz methodologies for achieving asymptotic stability is obtained. It is shown that a design per the second method of Lyapunov simplifies the stability design calculations for this higher-order system     

Sliding mode tracking control for miniature unmanned helicopters

A sliding mode control design for a miniature unmanned helicopter is presented. The control objective is to let the helicopter track some predefined velocity and yaw trajectories. A new sliding mode control design method is developed based on a linearized dynamic model. In order to facilitate the control design, the helicopter’s dynamic model is divided into two subsystems,such as the longitudinal-lateral and the heading-heave subsystem. The proposed controller employs sliding mode control technique to compensate for the immeasurable flapping angles’ dynamic effects and external disturbances. The global asymptotic stability(GAS) of the closed-loop system is proved by the Lyapunov based stability analysis. Numerical simulations demonstrate that the proposed controller can achieve superior tracking performance compared with the proportionalintegral-derivative(PID) and linear-quadratic regulator(LQR) cascaded controller in the presence of wind gust disturbances.     

Nonlinear robust observer design for strapdown INS in-flight alignment

A nonlinear observer is proposed for a strapdown inertial navigation system (SDINS) in-flight alignment problem using an H/sub /spl infin// filter Riccati equation and a freedom parameter. The proposed observer improves the filtering stability, convergence, and performance. The characteristics of the observer are analyzed using a Lyapunov function. Simulation results demonstrate a significant reduction in alignment errors by employing the proposed nonlinear observer. The observer is developed in general such that it can be applied to estimating nonlinear systems other than the SDINS in-flight alignment.     

涡扇发动机早期退化性能的线性变参数估计

针对涡扇发动机线性变参数(Linear parameter varying,LPV)模型,给出了一种新的早期退化航空发动机部件性能LPV滤波器设计方法.该方法采用仿射依赖于参数的二次Lyapunov函数,在仿射二次稳定性的基础上,引入多凸性引理将滤波器求解问题转化为线性矩阵不等式(Linear matrix inequalities,LMI)约束下的凸优化问题,避免了求解参数化线性矩阵不等式(Parameterized linear matrix inequalities,PLMI)约束下的优化问题.针对某型早期退化涡扇发动机的仿真表明,该方法能以较高精度估计性能退化参数,且鲁棒性强,增益调度简单,具有一定的工程意义.      

An Adaptive-Control Switching Buck Regulator-Implementation, Analysis, and Design

Describing-function techniques and averaging methods have been employed to characterize a multiloop switching buck regulator by three functionsl blocks: power stage, analog signal processor, and pulse modulator. The model is employed. to explore possible forms of pole-zero cancellation and the adaptive nature of the control to filter parameter changes. Analysis-based design guide lines are provided including a suggested additional RC-compensation loop to optimize regulator performances such as stability, audiosusceptibility, output impedance, and load transient response.     

Optimal trajectory design accounting for the stabilization of linear time-varying error dynamics

This study is dedicated to the development of a direct optimal control-based algorithm for trajectory optimization problems that accounts for the closed-loop stability of the trajectory tracking error dynamics already during the optimization. Consequently, the trajectory is designed such that the Linear Time-Varying(LTV) dynamic system, describing the controller’s error dynamics, is stable, while additionally the desired optimality criterion is optimized and all enforced constraints on the traje...     

基于李雅普诺夫函数的航空发动机非线性控制设计方法

针对航空发动机非线性模型,提出了1种基于李雅普诺夫(Lyapunov)函数的航空发动机非线性控制设计方法。在保证系统稳定的前提下,采用该方法完成了航空发动机非线性控制器的设计。仿真研究结果表明:该设计方法可提高系统响应速度,能有效抑制干扰,且具有良好的跟踪性和鲁棒性,有效改进了航空发动机控制系统的性能。     

考虑驾驶仪动态特性的固定时间收敛制导律

针对打击机动目标的制导问题，设计了一种同时考虑攻击角度约束、自动驾驶仪动态特性和固定时间收敛的新型制导律。首先，基于非奇异终端滑模控制和固定时间稳定性理论，采用反步递推方法设计制导律。在制导律设计过程中，设计了一种固定时间收敛的非奇异终端滑模面，基于固定时间控制和滑模控制，设计虚拟控制律，构造一种非线性一阶滤波器解决传统反步设计中的"微分膨胀"问题。基于超螺旋算法和固定时间稳定性理论，设计了一种固定时间收敛的滑模干扰观测器，用于估计目标机动等干扰。然后，基于Lyapunov稳定性理论，对制导律的固定时间稳定性进行了证明，并给出了收敛时间的表达式。最后，通过仿真分析，验证了所提制导律的有效性，和现有制导律相比，所提制导律具有较高的制导精度和角度约束精度、较快的系统收敛速度以及较少的能量消耗。     

永磁直线同步电机滑模控制系统

设计了一种基于滑模变结构的永磁直线同步电机(PMLSM)矢量控制系统。从直线电机的基本工作原理出发,通过坐标变换,建立PMLSM在两相同步旋转正交坐标系上的数学模型。基于滑模变结构和李雅普诺夫稳定性理论设计转速调节器,组成PMLSM滑模控制系统。为了验证该控制系统的有效性,在MATLAB/Simulink平台下搭建系统的模型并进行仿真。仿真表明,该控制系统具有很强的鲁棒性。     

一类非线性系统的神经网络自适应控制

针对一类单输入单输出不确定非仿射型非线性系统,基于多层神经网络提出了一种直接自适应控制方法。该设计方法首先应用多层神经网络自适应模拟逼近逆解中的未知部分,然后应用逆设计和自适应反演设计出虚拟控制量,最后应用反馈线性化设计方法和神经网络设计了直接自适应控制律。并利用Lyapunov稳定性定理推导了神经网络的参数调节律,保证了闭环系统的所有信号均最终一致有界。     

Dynamic modeling and simulation of a pressurized system used in flight vehicle

For a typical pressurized system with a novel dual-stage gas pressure reducing regulator, a system model is established with modular models of various typical components. The simulation study on the whole working period shows that the general trends and magnitudes of simulation curves are in agreement with experimental measured curves. As the key component in the pressurized system, the regulator is studied by a series of numerical simulations to reveal the influences of various structure parameters on its stability. Furthermore, the variable ranges which can guarantee the stability of regulator and system are obtained to provide guidance for design. The modeling and analysis approach can be applied to other systems and components.     

基于T-S模糊模型的非线性分布参数系统极点配置P-sD控制CSCD

采用Lyapunov直接法讨论分布参数系统的稳定性,建立分布参数系统的Lyapunov函数。为保证分布参数系统稳定,应使Lyapunov函数对时间的微分小于0。由于分布参数系统中存在空间一次微分项与二次微分项,Lyapunov函数对时间的微分中将出现常数项与积分项,针对常数项,引入空间一次微分项来抵消;针对积分项,引入对应的状态反馈来使系统稳定。利用边界条件量化Lyapunov函数对时间的微分中的各项,从而设计控制器,这是一种新的设计P-sD状态控制的方式。其中状态反馈的部分采用极点配置的方法来设计,当分布参数系统中出现状态变量的非线性函数时,采用T-S模糊模型表达,可以通过状态变量的线性组合精确描述非线性项,以便极点配置设计状态反馈。针对两个非线性分布参数数学模型进行仿真,结果证明设计的P-sD状态控制器可以使分布参数系统稳定,并达到期望的效果。     

基于新型饱和函数滑模观测器的永磁同步电机控制系统

针对传统反电动势滑模观测器(SMO)抖振造成的永磁同步电机转子位置检测、转速估算不准确的问题,在传统反电动势SMO的基础上提出一种新型饱和函数SMO。构造反电动势状态观测方程,利用Lyapunov稳定性理论论证其收敛性;同时考虑观测器增益系数以及低通截止频率的给定,根据实时转速反馈选取合适的观测系数和低通滤波器的截止频率;在低通滤波器后增加卡尔曼滤波器滤除系统的测量噪声和测量误差,提高观测精度。对比仿真和试验结果,验证了新型饱和函数SMO算法的实用性和有效性。