Stability,L2‐gain and asynchronous H ∞ control for continuous‐time switched systems

This paper is concerned with the stability and L₂‐gain problems for a class of continuous‐time linear switched systems with the existed asynchronous behaviors, where ‘asynchronous’ means that the switching of the controllers to be designed has a lag to the switching of the system modes. Firstly, a new sufficient condition on the asymptotic stability and weighted L₂‐gain analysis is obtained by using multiple Lyapunov functions combined with the average dwell time technique. Moreover, a result that is formulated in form of linear matrix inequalities is derived for the problem of asynchronous H _∞ control. Based on the result, the mode‐dependent controllers can be designed. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained results.Copyright © 2013 John Wiley & Sons, Ltd.     

Less conservative stability criteria for linear systems with interval time‐varying delays

The problem of the stability of a linear system with an interval time‐varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time‐varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on the proposed Lyapunov–Krasovskii functional, two stability conditions are developed using two different methods to estimate Lyapunov–Krasovskii functional's derivative. Two numerical examples are given to illustrate that the two stability conditions are complementary and yield a larger maximum upper bound of the time‐varying delay than some existing results. Copyright © 2013 John Wiley & Sons, Ltd.     

A novel three‐dimensional guidance law implementation using only line‐of‐sight azimuths

A novel three‐dimensional guidance law using only line‐of‐sight azimuths based on input‐to‐state stability and robust nonlinear observer is proposed for interception of maneuvering targets. The proposed guidance law does not need any prior information of unknown bounded target maneuvers and uncertainties. Since in practice the line‐of‐sight rate is difficult for a pursuer to measure accurately, a nonlinear robust observer is introduced to estimate it. A three‐dimensional guidance law with bearing only measurement is obtained for interception of maneuvering targets. The presented algorithm is tested using computer simulations against a maneuvering target. Copyright © 2014 John Wiley & Sons, Ltd.     

受控旋转弹飞行动力学建模和稳定性分析

选取带有控制系统的旋转弹为研究对象,考虑到控制环节不可避免的时滞及气动非线性效应,从理论上进一步完善了旋转弹动力学模型.从模型的特征方程出发,以时滞、控制增益为分岔参数,对系统的零平衡点稳定性进行了分析,得到平衡点失稳后发生Hopf分岔的临界参数值,并在理论预测的情况下数值模拟了攻角和侧滑角在不同情况下的失稳情况以及Hopf分岔周期解振幅随分岔参数的变化情况.数值结果表明了理论预测的正确性,时滞虽未改变旋转弹锥形运动方式,但是却大幅度的减小了稳定飞行控制增益的取值范围,因此在旋转弹姿态稳定性系统设计过程中时滞的影响不可忽略.     

铰支柔性梁主参数共振的时滞反馈控制

研究了时滞反馈控制作用下铰支柔性梁主参数共振问题.采用多尺度法,从理论上推导了时滞位移反馈控制作用下铰支柔性梁非线性主参数共振,分析了时滞、反馈控制增益,非线性系数等系统参数对系统非线性主参数振动的影响,分析了主参数动力响应随参数变化的规律.结果表明:随着反馈增益的增大,系统响应幅值得到明显抑制,合理地控制系统参数选取可提高振动控制的效率.     

时滞反馈作用下压电梁的参数共振分析

基于Hamilton原理建立了受控压电梁的参数振动方程,研究了轴向激励压电梁时滞速度反馈控制的主参数共振.采用非线性振动的多尺度法研究了压电梁的亚谐波主参数共振,并对其稳定域进行分析.通过算例分析得到了不同时滞,控制增益,轴力影响下压电梁参数共振的稳定域和时程曲线.结果表明:时滞值增大,系统承受轴向力减小,相对于控制增益则反之.同时,随着轴向力增大,在一定范围内主动阻尼增加,时滞反馈能有效降低响应幅值.随着时滞值增大,减振效果变差.     

Active disturbance rejection control: between the formulation in time and the understanding in frequency

With the rapid deployments of the active disturbance rejection control (ADRC) as a bonafide industrial technology in the background, this paper summarizes some recent results in the analysis of linear ADRC and offers explanations in the frequency response language with which practicing engineers are familiar. Critical to this endeavor is the concept of bandwidth, which has been used in a more general sense. It is this concept that can serve as the link between the otherwise opaque state space formulation of the ADRC and the command design considerations and concerns shared by practicing engineers. The remarkable characteristics of a simple linear ADRC was first shown in the frequency domain, followed by the corresponding analysis in time domain, where the relationship between the tracking error and the ADRC bandwidth is established. It is shown that such insight is only possible by using the method of solving linear differential equations, instead of the more traditional techniques such as the Lyapunov methods, which tend to be more conservative and difficult to grasp by engineers. The insight obtained from such analysis is further demonstrated in the simulation validation.     

洪水位变化对岸滩稳定性的影响

为了较全面地了解洪水涨落对岸滩崩塌的影响,本文通过对洪水期岸滩受力分析,结合岸滩土体性质和洪水浸泡岸滩特点,给出洪水期岸滩稳定系数;进而分析了洪水降落期岸滩稳定性变化,指出洪水骤降时,长期洪水浸泡后黏土岸滩稳定系数将会大幅度减小;在洪水缓慢降落时,黏性岸滩稳定性减小,但减小幅度小于骤降的情况。通过分析对比洪水上涨、洪水浸泡和洪水降落等不同过程的稳定性,指出洪水迅速上涨期岸滩稳定性最好,依次为洪水缓慢上涨期、洪水浸泡期和洪水缓慢下降期,洪水骤降期岸滩稳定性最差。     

某混凝土双曲拱坝建基面选择研究

拱坝建基面选择主要决定于坝基岩体的承载力和滑动稳定性。本工程基岩裸露,岩体呈整体块状结构,强度高,但坝基范围内岩体岩性不一致,导致基岩强度不同。根据地形地质条件,对拱坝建基面的可利用岩体进行多方案论证研究,同时对坝体应力、坝肩稳定、整体稳定等进行大量分析及模型试验,最终确定合理经济的坝体建基面。     

基于超熵产生的河型稳定判别式

基于非平衡态热力学理论中的超熵产生研究河型的稳定性,对河型是否有可能转化做出定量判别分析。选择河流系统的广义力和广义流,构造出河流的超熵产生以及超能耗率,根据超能耗率推导出河型稳定判别式。应用该判别式分析了黄河下游5个河段3种不同河型的稳定性,计算结果表明这5个河段的河型是稳定的,近期没有发生河型转化的可能性,与实际情况相符。利用该河型稳定判别式,不仅可判别河型的稳定性,还可以预测河流调整方向,为河流整治工程提供科学依据。