Stochastic optimal control for first-passage failure of nonlinear oscillators with multi-degrees-of-freedom

To enhance the reliability of the stochastically excited structure,it is significant to study the problem of stochastic optimal control for minimizing first-passage failure.Combining the stochastic averaging method with dynamical programming principle,we study the optimal control for minimizing first-passage failure of multidegrees-of-freedom（MDoF）nonlinear oscillators under Gaussian white noise excitations.The equations of motion of the controlled system are reduced to time homogenous difusion processes by stochastic averaging.The optimal control law is determined by the dynamical programming equations and the control constraint.The backward Kolmogorov（BK）equation and the Pontryagin equation are established to obtain the conditional reliability function and mean first-passage time（MFPT）of the optimally controlled system,respectively.An example has shown that the proposed control strategy can increase the reliability and MFPT of the original system,and the mathematical treatment is also facilitated.     

Nonlinear control for autonomous underwater glider motion based on inverse system method

Autonomous underwater gliders are highly efficient, buoyancy-driven, winged autonomous underwater vehicles. Their dynamics are multivariable nonlinear systems. In addition, the gliders are underactuated and difficult to maneuver, and also dependent on their operational environment. To confront these problems and to design an effective controller, the inverse system method was used to decouple the original system into two independent single variable linear subsystems. The stability of the zero dynamics was analyzed, and an additional closed-loop controller for each linear subsystem was designed by sliding mode control method to form a type of composite controller. Simulation results demonstrate that the derived nonlinear controller is able to cope with the aforementioned problems simultaneously and satisfactorily.     

强制稳定模糊控制系统设计方法

基于在线辩识被控对象输出量的状态变化趋势,给出了一套强制稳定模糊控制设计方法,克服了常规模糊控制在系统参数发生时容易出现的振荡现象,引入了曲线形态描述函数向财光滑过渡系统等概念,从理论上对系统的动态过程进行了分析。     

Impact arresting process mechanical modeling and sliding model buffer control based on magneto-rheological fluid

The research on the form and control method of impact load arresting buffer has been an active topic in the field of buffer arresting system (BAS). It becomes significant on reducing the weight of arresting system, improving the hindered efficiency, and guaranteeing the security of BAS. The hydraulic hindered device of impact load is currently used in BAS. There are some problems. For example, the system needs large power sources. However, once the power of active hydraulic control system is turned off, there arise unpredictable security risks. An arresting form of semi-active control based on magneto-rheological damper (MRD) is proposed, and the mechanical model of the BAS is established. Meanwhile, the state equation of impact load BAS is established according to the characteristics of impact load buffer arresting, and its sliding model buffer control is achieved. Due to the chattering characteristic of the output signal of sliding mode controller, the method to prevent chattering is designed based on short-term energy and zero-crossing rate detection. For the model and chattering suppression of sliding model buffer control algorithms, simulation results show that the proposed state equation and the arresting model are reasonable, and the design of semi-active control algorithm is effective. On the condition of the buffer control system requirement and the accuracy, the proposed algorithms effectively control the chattering of sliding mode control algorithms, and improve the security of the BAS.     

Nonlinear and Variable Structure Excitation Controller for Power System Stability

A new nonlinear variable structure excitation controller is proposed. Its design combines the differential geometry theory and the variable structure controlling theory. The mathematical model in the form of ＂an affme nonlinear system＂ is set up for the control of a large-scale power system. The static and dynamic performances of the nonlinear variable structure controller are simulated. The response of system with the controller proposed is compared to that of the nonlinear optimal controller when the system is subjected to a variety of disturbances. Simulation results show that the nonlinear variable structure excitation controller gives more satisfactorily static and dynamic performance and better robustness.     

RSOFCPN: CONTROL SYSTEM STRUCTURE AND ALGORITHM DESIGN

IntroductionThe learning approaches of neural network canusually be distinguished into three classes:su-pervised learning,unsupervised learning and re-inforcement learning.The supervised learningscheme has the highest efficiency but requiresthe learning systems to provide with desired out-puts.Obviously,it is very difficultin many cas-es.Unsupervised learning methods constructin-ternal models at capture regularities in their in-puts without receiving any additional informa-tion.Therefore,its …     

DISCRETE VARIABLE STRUCTURE CONTROL OF LINEAR TIME-INVARIANT SYSTEMS WITH TIME DELAY

IntroductionIn recentyears,many methods have been pro-posed for the design of time- delay control sys-tems[1,2 ] and criteria for the stability of time- delaysystems have been developed by many re-searchers[3 ,4] .Time delay in the control systemscan be divided into two classes on the whole.Oneis in measurement of system variables and calcula-tion for required control force,including physicalproperties of equipmentused in the systems or sig-nal transmission.The other is in control for actua-to…     

一个函数逼近的结论及其应用

证明了一个用二次连续可导函数来逼近二阶导数存在有限个第一类不连续点的连续可导函数的结论,并用这个结论推广了广泛应用于随机控制模型研究中的一个随机分析结论,给某些重要随机控制模型的推广提供了关键性的理论工具．     

基于线性矩阵不等式的船舶动力定位滑模控制

为了解决具有非线性和环境干扰的船舶动力定位系统的控制问题, 提出了一种基于线性矩阵不等式的滑模控制算法; 将跟踪误差设计为滑模函数, 设计线性矩阵不等式, 求解状态反馈增益; 基于二次型Lyapunov函数证明了闭环系统的稳定性; 设计切换函数, 使系统对不确定性和外加干扰具有较强的鲁棒性, 避免出现抖振现象; 对基于线性矩阵不等式的滑模控制器进行仿真, 计算出动力定位船舶在无扰动的匀速运动和有外界环境扰动的变速运动2种不同情况下的前进速度、横荡速度、艏向角速度、前进加速度、横荡加速度、艏向角加速度、前进控制力、横荡控制力和艏向控制力矩等; 分析了状态反馈增益线性矩阵、边界层、切换项增益等参数对控制性能的影响。研究结果表明: 采用基本滑模控制使前进速度达到期望值所需的上升时间为29s, 而新算法为15s, 节约了48.28%;采用基本滑模控制使横荡速度达到期望值所需的上升时间为24s, 而新算法为14s, 节约了41.67%;采用基本滑模控制使艏向角速度达到期望值所需的上升时间为13s, 而新算法为10s, 节约了23.08%。可见, 设计的控制器对有非线性和环境干扰的船舶动力定位系统都具有较强的鲁棒性, 具有控制输入连续、控制抖振小、不存在过高增益等特点。      

Robust intelligent control design for marine diesel engine

This work deals with the nonlinear control of a marine diesel engine by use of a robust intelligent control strategy based on cerebellar model articulation controller （CMAC）. A mathematical model of diesel engine propulsion system is presented. In order to increase the accuracy of dynamical speed, the mathematical model of engagement process based on the law of energy conservation is proposed. Then, a robust cerebellar model articulation controller is proposed for uncertain nonlinear systems. The concept of active disturbance rejection control （ADRC） is adopted so that the proposed controller has more robustness against uncertainties. Finally, the proposed controller is applied to engine speed control system. Both the model of the diesel engine propulsion system and of the control law are validated by a virtual detailed simulation environment. The prediction capability of the model and the control efficiency are clearly shown.     

基于整周模糊度概率特性的GPS基线质量评估

为简化GPS基线质量评估,给出了基线固定解概率分布的严密形式,并用仿真方法分析了积分区域、模糊度浮点解的精度、基线浮点解的精度以及2种浮点解的相关系数对GPS基线质量改进的作用.试验表明,模糊度浮点解和基线浮点解的精度以及二者的相关系数均是影响基线质量的重要因素,模糊度浮点解和基线浮点解的精度对基线质量的改进作用是"积极"的,而二者的相关系数对基线质量的改进作用则相反.     

Nonlinear feedforward and feedback control design for autonomous underwater glider

Underwater gliders are highly efficient, buoyancy-driven, and winged autonomous underwater vehicles. Their dynamics are multivariable nonlinear systems with unstable internal dynamics and thus their motion control is a significant challenge. To improve the inherent efficiency and enhance the behavior of the underwater glider over a wide operating regime, a nonlinear feedforward and feedback controller was developed. The nonlinear feedforward control design is based on a new stable inversion technique which determines a causal and bounded solution for the unstable internal dynamics. The feedback control law was designed by a quadratic optimal control method. Simulation results show that the derived control system is able to deal with nonminimum phase system and successfully achieves the tracking of planned output trajectories from initial to final conditions. Furthermore, the control effort is very low, which means the glider with limited power storage has longer range and higher endurance.     

Control Lyapunov Stabilization of Nonlinear Systems with Structural Uncertainty

This paper deals with global stabilization problem for the nonlinear systems with structural uncertainty.Based on control Lyapunov function, a sufficient and necessary condition for the globally and asymptotically stabilizing the equailibrium of the closed system is given. Moreovery, an almost smooth state feedback control law is constructed. The simulation shows the effectiveness of the method.     

Winkler地基上材料非线性矩形薄板的主共振

为了研究Winkler地基上材料非线性矩形薄板受简谐激励的非线性振动,应用弹性力学理论,建立了其动力学方程,并用Galerkin方法将其转化为非线性振动方程.应用非线性振动的多尺度法,求得系统主共振的近似解,并进行了数值计算.研究表明,随着阻尼系数、几何参数和激励幅值的改变,主共振响应曲线有跳跃和滞后现象,振幅随阻尼系数的增大而减小.此外,还对系统主共振响应方程进行了奇异性分析,得到了开折参数平面的转迁集和分岔图.     

Application of Nonlinear Predictive Control Based on RBF Network Predictive Model in MCFC Plant

This paper described a nonlinear model predictive controller for regulating a molten carbonate fuel cell (MCFC). A detailed mechanism model of output voltage of a MCFC was presented at first. However, this model was too complicated to be used in a control system. Consequently, an off line radial basis function (RBF) network was introduced to build a nonlinear predictive model. And then, the optimal control sequences were obtained by applying golden mean method. The models and controller have been realized in the MATLAB environment. Simulation results indicate the proposed algorithm exhibits satisfying control effect even when the current densities vary largely.     

船舶航向不对称信息理论与非线性逆推鲁棒控制算法

应用不对称信息理论和鲁棒控制算法简化非线性逆推算法,针对非线性船舶航向保持系统,设计了其Backstepping逆推控制器,由非线性函数项和常规线性控制器组成,将简化的Back-stepping法与闭环增益成形算法相结合,设计其非线性鲁棒控制器。通过非线性鲁棒控制器的控制能够使船舶无超调、无静差地跟踪设定航向,调节时间为600 s,符合船舶航行的实际情况,控制效果良好;当系统增加干扰后,系统的控制输出除了因干扰产生的抖动外,其跟踪性能仍然较好,航向输出无静差,说明控制器具有一定的鲁棒性;是否全部对消非线性项,对其控制效果相差不大,说明当模型发生参数摄动时,系统的控制性能仍能保证。     

双容液位滑模控制系统设计

探讨了滑动模态变结构控制(滑模控制)设计原则,设计了一种滑模控制器,实现了两输入两输出非线性液位系统控制,并用组态王(Kingview)编制该控制软件,解决系统难于控制和抗扰动的问题.在线运行,体现了滑模变结构控制自适应能力强,动态、静态品质优良,鲁棒性好等优点,与传统PID控制进行比较,证实变结构控制的优越性.     

分布式网络控制系统的输出反馈控制

建立了同时具有前向通道传输时延和反馈通道传输时延的线性分布式网络控制系统的数学模型.用该数学模型将系统变换为具有状态与控制时变时滞的线性时滞系统.基于代数Riccati方程方法,提出了H∞鲁棒输出反馈控制方法,以使系统闭环控制稳定.仿真算例结果表明,在t=2.5 s时,系统状态都达到了0,保证了系统具有较快的零状态响应速度.给出了这类系统的H∞鲁棒输出反馈控制器的综合设计示例.     

Adaptive Sliding-Mode Tracking Control for an Uncertain Nonlinear SISO Servo System with a Disturbance Observer

An adaptive sliding mode controller with a disturbance observer (ASMC-DO) is proposed for the control of a single-input and single-output (SISO) servo system which has uncertain parameters, nonlinear friction, disturbance and input saturation. It is difficult to choose the suitable value of the parameters. The newly designed adaptive method is used to reduce the effects of system time-varying parameters, such as the moment of inertia and the damp coefficient. The robustness of object is improved. A DO is selected to approximate the compound disturbance and to render the estimate error convergent in finite time. The stability and the convergence of the closed-loop system are proved by using the Lyapunov theory. Experimental results show that the proposed ASMC-DO can better satisfy the influence of variable parameters and external disturbance to the control precision of the SISO servo system than other two controllers. The effectiveness of the proposed controller is showed. The control input stability and robust performances of the input saturation system are enhanced and the chattering is reduced.     

基于满意度的多目标约束模糊控制规则库的建立及应用

本文针对难以建模的非线性系统,结合有关满意度优化理论,给出了基于模糊控制系统的多目标搜索规则库的方法,并利用所建立规则采用Mamdani算法来逼近控制问题的最优解。同时把该方法应用在具有强非线性特点的车辆自动驾驶问题上,通过对模糊控制规则的量化细分搜索出车辆自动驾驶的规则库。