基于鲁棒观测器的带间隙三明治系统故障预报

工程实践中常见的带间隙的三明治系统的准确故障预报具有重要的现实意义,为此,本文构建了一种新的动态鲁棒观测器对其进行故障预报.首先,通过将非光滑项转化为干扰项的方法,将间隙非光滑三明治系统转化为可用动态鲁棒观测器设计方法设计的系统.其次,采用零点配置和最小化基准区间观测器的范数(H_∞,F/H_,F)指标的方法确定动态鲁棒观测器的增益矩阵.最后,通过仿真,分别比较了基于非光滑鲁棒观测器和基于传统观测器的故障预报效果,比较结果表明:鲁棒观测器能够及时地准确预报传统观测器无法预报的故障,且有效减少了故障的漏报和错报现象.     

输入有约束时的飞翼布局无人机姿态控制

针对大展弦比飞翼布局无人机的刚体运动与弹性运动耦合动力学模型,研究了输入有约束时的无人机姿态控制问题,提出了一种采用扩张状态观测器的反步滑模控制方法.首先,采用扩张状态观测器实时估计气动弹性模态和外界未知干扰的影响,并引入跟踪微分器避免了控制律中项数膨胀问题.然后,针对飞翼布局无人机多操纵面的配置和输入约束,给出了基于LMI的在线舵面分配算法.最后,针对指令滤波和输入约束情况下控制指令的滞后问题,设计了辅助补偿器对控制指令进行补偿.根据Lyapunov稳定性理论证明了该控制方法能够保证姿态跟踪误差收敛至有界,仿真表明存在复合干扰和输入约束时该方法具有良好的姿态跟踪性能.     

A robust observer‐based stabilization method for systems with uncertain parameters and Lipschitz nonlinearities

This paper deals with the robust observer‐based control design for a class of Lipschitz nonlinear discrete‐time systems with parameter uncertainties. Based on the use of a reformulated Lipschitz property combined with the slack variable techniques and some mathematical artifacts, it is shown that the solution of the discrete‐time output feedback stabilization problem is conditioned by a set of bilinear matrix inequalities, which become linear matrix inequalities by freezing some scalars. Furthermore, we show that some existing and elegant results reported in the literature can be regarded as particular cases of the stability conditions presented here. Numerical examples are provided to show the validity and superiority of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.     

Design of a robust observer‐based memoryless H∞ control for internet congestion

This work is concerned with the transmission control protocol(TCP)‐based active queue management for alleviating Internet congestion. To achieve the objective, a novel robust observer‐based H_∞ control scheme is proposed to stabilize the data queue length of the router to a given target. The robust observer is advocated to reconstruct a substitution state of the TCP window size under uncertain Internet environments, wherein the TCP window size is almost impossible to be explicitly measured in practise. Meanwhile, a memoryless H_∞ controller is employed to guarantee the system asymptotical stability and further enhance the robustness. With the assistance of a unique nonlinear decoupling method, a feasible controller design method is presented in terms of linear matrix inequality. Compared with the existing literatures, the proposed control principle is more practical, and it can be conveniently implemented into the Internet routers while introduces less computational burden. Finally, the proposed result is embedded into Network Simulator 2 and compared with the other schemes in the literature. Numerical experiments illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd.     

Boundary control of an axially moving accelerated/decelerated belt system

In this paper, a boundary controller with disturbance observer is proposed for the vibration suppression of an axially moving belt system. The model of the belt system is described by a nonhomogeneous partial differential equation and a set of ordinary differential equations with consideration of the high‐acceleration/deceleration and unknown spatiotemporally varying distributed disturbance. Applying the finite‐dimensional backstepping control and Lyapunov's direct method, a boundary controller is developed to stabilize the belt system at the small neighborhood of its equilibrium position and a disturbance observer is introduced to attenuate the effect of unknown external disturbance. The S‐curve acceleration/deceleration method is adopted to plan the speed of the belt. With the proposed control scheme, the spillover instability problems are avoided, the uniform boundedness and the stability of the closed‐loop belt system can be achieved. Simulations are provided to illustrate the effectiveness of the proposed control scheme. Copyright © 2016 John Wiley & Sons, Ltd.     

Improved exponential observer design for one‐sided Lipschitz nonlinear systems

This paper investigates the exponential observer design problem for one‐sided Lipschitz nonlinear systems. A unified framework for designing both full‐order and reduced‐order exponential state observers is proposed. The developed design approach requires neither scaling of the one‐sided Lipschitz constant nor the additional quadratically inner‐bounded condition. It is shown that the synthesis conditions established include some known existing results as special cases and can reduce the intrinsic conservatism. For design purposes, we also formulate the observer synthesis conditions in a tractable LMI form or a Riccati‐type inequality with equality constraints. Simulation results on a numerical example are given to illustrate the advantages and effectiveness of the proposed design scheme. Copyright © 2016 John Wiley & Sons, Ltd.     

Global Output‐Feedback Stabilization for Stochastic Nonlinear Systems with Function Control Coefficients

This paper investigates the global output‐feedback stabilization for a class of stochastic nonlinear systems with function control coefficients. Notably, the systems in question possess control coefficients that are functions of output, rather than constants; hence, they are different from the existing literature on stochastic stabilization. To solve the control problem, an appropriate reduced‐order observer is introduced to reconstruct the unmeasured system states before a smooth output‐feedback controller is designed using the backstepping method, which guarantees that the closed‐loop system is globally asymptotically stable in probability. This paper combines the related results in the deterministic and stochastic setting and gives the first treatment on the global output‐feedback stabilization for the stochastic nonlinear systems with function control coefficients. A simulation example is given also to illustrate the effectiveness of the proposed approach.     

基于ESO的BTT导弹自动驾驶仪滑模反演设计

针对BTT导弹非线性动力学模型中的参数不确定性及系统存在未知外部干扰的问题,提出了一种基于扩张状态观测器的反演滑模控制设计方法。将系统参数不确定性和未知外界干扰作为系统的复合干扰,采用扩张状态观测器估计系统的复合干扰,并实时补偿。利用Lyapunov方法证明系统的稳定性。设计的控制器算法简单、计算量小,更易于实际工程应用。仿真结果表明,设计的控制器对导弹控制系统受到的复合干扰具有较强的鲁棒性和稳定性,满足导弹姿态快速机动和高稳定度的控制要求,性能指标明显优于滑模反演控制器。     

带有多非线性干扰观测器的电液伺服反演控制

针对高阶不匹配不确定非线性电液伺服系统,提出一种动态面反演控制策略,以实现对电液伺服系统的位置控制.采用多个非线性干扰观测器观测出电液伺服系统的各阶子系统的不确定项和干扰项,对使用非线性干扰观测器后的系统实行反演控制,使用动态面方法来解决传统反演控制中虚拟控制量随着系统阶数的增加而愈加繁杂的问题.基于Lyapunov方法从理论上证明了所设计的系统控制器能够保证闭环系统有界稳定,系统中所有信号是一致最终有界的,仿真结果验证了反演控制方法的正确性.