AN ALGORITHM FOR SOLVING SYSTEM OF LINEAR INEQUALITIES

A new algorithm is presented for solving a system of linear inequalities. Starting at any point by solving a least squares problem we can either obtain a feasible point or determine that no solution exists.

SYNCHRONIZATION OF MASTER-SLAVE MARKOVIAN SWITCHING COMPLEX DYNAMICAL NETWORKS WITH TIME-VARYING DELAYS IN NONLINEAR FUNCTION VIA SLIDING MODE CONTROL

In this article, a synchronization problem for master-slave Markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control is investigated. On the basis of the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices, new synchronization criteria are derived in terms of linear matrix inequalities （LMIs）. Then, an integral sliding surface is designed to guarantee synchronization of master-slave Markovian switching complex dynamical networks, and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. By using Dynkin＇s formula, we established the stochastic stablity of master-slave system. Finally, numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.

The H_∞ synchronization of nonlinear Bloch systems via dynamic feedback control approach

We consider an H∞ synchronization problem in nonlinear Bloch systems. Based on Lyapunov stability theory and linear matrix inequality formulation, a dynamic feedback controller is designed to guarantee asymptotic stability of the master-slave synchronization. Moreover, this controller reduces the effect of an external disturbance to the H∞ norm constraint. A numerical example is given to validate the proposed synchronization scheme.

船舶动力定位非线性模型预测控制

针对受船舶运动状态和推力饱和约束影响的动力定位控制问题,本文提出了一种非线性模型预测控制方法。依据多面体描述理论建立了船舶动力定位多面体描述偏差模型,针对上述模型采用线性矩阵不等式设计非线性模型预测控制器中的终端要素,并证明了闭环系统的稳定性。仿真结果表明:设计的控制器能在满足约束条件和受环境干扰条件下快速控制船舶稳定在计划航向和计划船位,验证了控制器的有效性和本质鲁棒性。

Resilient Fixed-Order Distributed Dynamic Output Feedback Load Frequency Control Design for Interconnected Multi-Area Power Systems

The paper proposes a novel H∞ load frequency control(LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback(DOF) tracking-regulator control scheme. To this end, we consider a nonlinear interconnected model for multiarea power systems which also include uncertainties and timevarying communication delays. The design procedure is formulated using semi-definite programming and linear matrix inequality(LMI) method. The solution of the proposed LMIs returns necessary parameters for the tracking controllers such that the impact of model uncertainty and load disturbances are minimized. The proposed controllers are capable of receiving all or part of subsystems information, whereas the outputs of each controller are local. These controllers are designed such that the resilient stability of the overall closed-loop system is guaranteed. Simulation results are provided to verify the effectiveness of the proposed scheme. Simulation results quantify that the distributed(and decentralized) controlled system behaves well in presence of large parameter perturbations and random disturbances on the power system.

Dynamic Consensus of High-order Multi-agent Systems and Its Application in the Motion Control of Multiple Mobile Robots

In this paper, the leader-following consensus problem for multi-agent linear dynamic systems is considered. All agents and leader have identical multi-input multi-output （MIMO） linear dynamics that can be of any order, and only the output information of each agent is delivered throughout the communication network. When the interaction topology is fixed, the leader-following consensus is attained by Ho~ dynamic output feedback control, and the sufficient condition of robust controllers is equal to the solvability of linear matrix inequality （LMI）. The whole analysis is based on spectral decomposition and an equivalent decoupled structure achieved, and the stability of the system is proved. Finally, we extended the theoretical results to the case that the interaction topology is switching. The simulation results for multiple mobile robots show the effectiveness of the devised methods.

Quantized dynamic output feedback control for networked control systems

The problem of the quantized dynamic output feedback controller design for networked control systems is mainly discussed. By using the quantized information of the system measurement output and the control input, a novel networked control system model is described. This model includes many networkinduced features, such as multi-rate sampled-data, quantized signal, time-varying delay and packet dropout. By constructing suitable Lyapunov-Krasovskii functional, a less conservative stabilization criterion is established in terms of linear matrix inequalities. The quantized control strategy involves the updating values of the quantizer parameters μi（i = 1, 2）（μi take on countable sets of values which dependent on the information of the system measurement outputs and the control inputs）. Furthermore, a numerical example is given to illustrate the effectiveness of the proposed method.

Quadratic stabilization for uncertain stochastic systems

This paper discusses the robust quadratic stabilization control problem for stochastic uncertain systems, where the uncertain matrix is norm bounded, and the external disturbance is a stocbastic process, Two kinds of controllers are designed, which include state feedback case and output feedback case. The conditions for the robust quadratic stabilization of stochastic uncertain systems are given via linear matrix inequalities. The detailed design methods are presented. Numerical examples show the effectiveness of our results.

Fixed-Order l_1-Control for Systems with Time-Delay

In this paper, fixed-order l1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also gives the forms of solution to l1-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l1-norm is optimized. Although the l1-control is sub-optimal, the analysis and design are simple. The result of the paper improves and develops the l1-control method.

Error code analysis and selection principle of M-ary modulation in network-based control systems

Error codes induced by M-ary modulation and modulation selection in network-based control systems are studied.It is the first time the issue of error codes induced by M-ary modulation is addressed in control field.In network-based control systems,error codes induced by noisy channel can significantly decrease the quality of control.To solve this problem,the network-based control system with delay and noisy channel is firstly modeled as an asynchronous dynamic system(ADS).Secondly,conditions of packet with error codes(PEC)loss rate by using M-ary modulation are obtained based on dynamic output feedback scheme.Thirdly,more importantly,the selection principle of M-ary modulation is proposed according to the measured signal-to-noise ratio(SNR)and conditions of PEC loss rate.Finally,system stability is analyzed and controller is designed through Lyapunov function and linear matrix inequality(LMI)scheme,and numerical simulations are made to demonstrate the effectiveness of the proposed scheme.

Design of Robust Power System Stabilizer Based on Particle Swarm Optimization

In this paper, we examine the problem of designing power system stabilizer (PSS). A new technique is developed using particle swarm optimization (PSO) combined with linear matrix inequality (LMI). The main feature of PSO, not sticking into a local minimum, is used to eliminate the conservativeness of designing a static output feedback (SOF) stabilizer within an iterative solution of LMIs. The technique is further extended to guarantee robustness against uncertainties wherein power systems operation is changing continuously due to load changes. Numerical simulation ahs illustrated the utility of the developed technique.

不同地震动输入方向下非对称大跨悬索桥地震响应分析

为了解非对称悬索桥在不同地震动输入方向下的结构地震响应特性,指导该类桥梁的抗震设计,以广东云浮西江特大桥——跨径布置(202+738)m的非对称双塔双跨悬索桥为背景,进行地震响应分析。选取视波速150~3000 m/s的8个工况,采用大质量法模拟多点激励,对桥梁进行非线性时程分析,研究非对称悬索桥在一致激励下和考虑不同地震动输入方向及不同视波速下的结构地震响应规律。结果表明:对于非对称悬索桥,一致激励下,桥跨质量大的一侧构件内力、位移响应较大,位移较内力更为显著,应依据非对称结构地震响应特性,在结构两侧设计不同参数的减隔震装置;行波效应对非对称大跨悬索桥结构关键位置的内力、位移响应影响规律不同,视波速的选取对非对称结构地震响应影响显著,结构不同侧构件在相同视波速下的地震响应存在差异;在不同地震动输入方向下非对称结构的地震响应规律不同,同一构件响应值存在显著差异,建议在非对称桥梁设计时,考虑地震动输入方向的影响,按最不利方向进行设计。

不确定非方广义分数阶T-S模糊系统的鲁棒镇定

针对不确定非方广义分数阶T-S模糊系统阶数为0<α<1的鲁棒镇定问题,提出了一个有效的判据.首先,利用一个新的T-S模糊动态补偿器,将不确定非方广义分数阶T-S模糊系统转化为一个增广的不确定方形广义分数阶T-S模糊系统.由于增广变量的引入,动态补偿器的设计问题可以等价为静态输出反馈控制器的设计问题.其次,设计一个分数阶导数反馈控制器对得到的增广系统进行正常化处理.然后,对正常化得到的不确定分数阶T-S模糊系统进行研究,得到一个系统渐近稳定的充分条件.该条件保守性小并且形式简洁.最后,通过一个数值算例和一个实际例子验证了本文所提出结论的正确性和有效性.

基于固定时间滑模的直流微电网系统电压控制

针对含有恒功率负载的直流微电网系统,为了抑制恒功率负载的负阻抗性造成的系统直流母线电压振荡现象,采用固定时间滑模控制方法研究直流母线电压的控制问题。首先,建立含恒功率负载和储能单元的直流微电网系统的数学模型;其次,结合固定时间稳定性理论,设计积分型滑模面,在此基础上构造固定时间滑模控制器,通过对系统状态进行可达性分析,给出系统收敛时间上界的估计值;然后,通过对滑动模态进行稳定性分析,结合线性矩阵不等式求解得到控制器增益;最后,以含有2个恒功率负载和1个储能单元的直流微电网系统为例进行仿真实验,仿真结果表明,所设计控制器能够有效抑制恒功率负载扰动对直流母线电压带来的不良影响。

双柱状颗粒在线性剪切流场中的动力学分析

为研究柱状颗粒在线性剪切流场中的运动状态和受力情况,本文以颗粒长径比为2,颗粒之间的初始距离ΔSP y=4D为例,基于直接力浸入边界法数值模拟了双柱状颗粒在三维线性剪切流场中的运动过程。根据模拟结果分析了柱状颗粒周围流场参数分布,在考虑壁面对颗粒的影响和颗粒之间相互影响的条件下,研究了颗粒的受力和运动的变化,探索了流体曳力导致柱状颗粒迁移和转动的规律。研究结果表明,双柱状颗粒在线性剪切流场中易向速度大的流体区域运动;前后两颗粒运动状态和轨迹不同,颗粒之间距离较近时,曳力会产生较大的波动;只有当颗粒在壁面附近时,滞后颗粒才能追上领先颗粒,两颗粒发生牵引、翻滚和分离过程。

船舶动力定位系统的复合抗干扰控制

针对带有未知时变干扰和推进器故障的动力定位船舶,本文提出一种复合抗干扰控制方法。通过设计随机干扰观测器和故障诊断观测器估计未知干扰和故障,利用线性矩阵不等式证明了船舶的位置和航向保持期望值,且动力定位系统的所有信号都是依均方渐近有界的。最后,以比例模型船进行仿真,验证所提策略的有效性。

主动配流式电磁直驱静液作动器流量特性分析

为减小电静液伺服系统的流量脉动,提出一种基于主动单向阀与电磁直线执行器的主动配流式电磁直驱静液作动器。建立电磁直线驱动单元和主动单向阀的动力学模型,研究该系统流量脉动和流量大小的特点,分析主动单向阀阀芯结构参数和运动参数对作动系统动态特性的影响。结果表明:减小阀座直径、降低阀芯行程会减小液压缸的最大输入流量;柱塞开始单向行程及到达死点位置的时刻与阀芯运动启闭同步时,系统内不会出现回流并显著减小了流量脉冲现象;与被动配流式电磁直驱静液作动系统相比,主动配流式作动系统能够明显提升系统净流量,抑制系统流量脉动。