蓄电池/超导混合储能系统非线性鲁棒分数阶控制

针对电动汽车(Electric Vehicle, EV)供电端的蓄电池/超导混合储能系统(Battery/SMES Hybrid Energy Storage Systems, BSM-HESS)设计了一种新型非线性鲁棒分数阶控制(Nonlinear Robust Fractional-Order Control, NRFOC),从而快速精准地跟踪负荷需求变化。首先,基于规则式策略(Rule-Based Strategy, RBS)实现最优的负荷需求分配。然后,通过高增益扰动观测器(High-Gain Perturbation Observer, HGPO)对BSM-HESS的非线性、参数不确定性和未建模动态聚合而成的扰动进行快速估计,最终该扰动通过NRFOC进行在线完全补偿。此外,NRFOC不依赖于精确的系统模型,仅需测量蓄电池电流和直流侧电压两个状态量。通过三种算例进行研究,即重载条件、轻载条件以及参数不确定性,仿真结果验证了NRFOC的有效性和鲁棒性。     

基于分数阶模式的高拱坝变形安全监控研究构想

为科学监控服役过程中高拱坝的变形安全,基于高拱坝结构特性和服役特点,在分析分数阶元件模型、混凝土坝物理力学参数反演、混凝土坝变形安全监控发展动态的基础上,依据分数阶建模理论,提出了一种高拱坝变形安全监控研究思路与构想:围绕高拱坝变形性态分数阶数值模拟以及基于分数阶模式的单测点和测点群变形安全监控这两个互相关联的科学问题,沿着“分数阶元件模型→物理力学参数反演→单测点变形安全监控→测点群变形安全监控”的研究主线,遵循“基础到深入、简单到复杂、现象到本质、理论到应用、局部到整体、一维到多维” 的原则开展研究。为实现研究构想,重点需攻克三维高应力状态下高拱坝加速流变效应分数阶元件模型、分数阶元件模型弹性和黏弹性物理力学参数反演,以及高拱坝时效变形分数阶分析模型这3个关键的科学技术问题。     

Stabilization for nonlinear fractional-order time-varying switched systems

This paper deals with the global asymptotic stabilization problem for discontinuous nonlinear time-varying switched systems in the sense of fractional-order. Via the designed periodic switching law, some criteria are firstly developed. It is shown that the derivatives of the constructed Lyapunov functions are allowed to be indefinite. Several corollaries are further derived, and some existing results can be regarded as special cases of our obtained results. Finally, our findings are verified by three numerical examples and one experiment.     

Stabilizing region of fractional-order proportional integral derivative controllers for interval delayed fractional-order plants

This paper concentrates on computing the stabilizing region of fractional-order proportional integral derivative (FOPID) controllers for interval delayed fractional-order plants. An interval delayed fractional-order plant is defined as a fractional-order transfer function with a time delay whose denominator and numerator coefficients are all uncertain and lie in specified intervals. In the present study, first, a theorem is proven to analyze the robust stability of the given closed-loop. Then, a method is proposed to solve the problem of robustly stabilizing interval delayed fractional-order plants by using FOPID controllers. Moreover, two auxiliary functions are presented to fulfill the additional specifications of design, ensuring better performance of the controlled system with respect to the disturbance and noise. Finally, two examples are provided to illustrate the design procedure.     

Fault ride-through capability improvement in a DFIG-based wind turbine using modified ADRC

In this paper, an overview of several strategies for fault ride-through (FRT) capability improvement of a doubly-fed induction generator (DFIG)-based wind turbine is presented. Uncertainties and parameter variations have adverse effects on the performance of these strategies. It is desirable to use a control method that is robust to such disturbances. Auto disturbance rejection control (ADRC) is one of the most common methods for eliminating the effects of disturbances. To improve the performance of the conventional ADRC, a modified ADRC is introduced that is more robust to disturbances and offers better responses. The non-derivability of the fal function used in the conventional ADRC degrades its efficiency, so the modified ADRC uses alternative functions that are derivable at all points, i.e., the odd trigonometric and hyperbolic functions (arcsinh, arctan, and tanh). To improve the efficiency of the proposed ADRC, fuzzy logic and fractional-order functions are used simultaneously. In fuzzy fractional-order ADRC (FFOADRC), all disturbances are evaluated using a nonlinear fractional-order extended state observer (NFESO). The performance of the suggested structure is investigated in MATLAB/Simulink. The simulation results show that during disturbances such as network voltage sag/swell, using the modified ADRCs leads to smaller fluctuations in stator flux amplitude and DC-link voltage, lower variations in DFIG velocity, and lower total harmonic distortion (THD) of the stator current. This demonstrates the superiority over conventional ADRC and a proportional-integral (PI) controller. Also, by changing the crowbar resistance and using the modified ADRCs, the peak values of the waveforms (torque and currents) can be controlled at the moment of fault occurrence with no significant distortion.     

基于分数阶微分方程描述的系统的能控性和能观性判据

首先给出了由分数阶微分方程描述的系统的数学模型,根据对整数阶系统能控性和能观性的研究,给出了此类分数阶系统的能控性和能观性的定义,并利用两参数的Mittage-Leffler函数和Cayley-Hamilton定理分析此类分数阶系统的能控性和能观性,推导由分数阶微分方程描述的系统能控性和能观性判据.当其能控性判别矩阵M和能观性判别矩阵N的秩为满秩时,分数阶系统是能控和能观的.     

自适应的分数阶达尔文粒子群优化算法

针对分数阶达尔文粒子群算法收敛性能依赖于分数阶次α,易陷入局部最优的特点,提出了一种自适应的分数阶达尔文粒子群优化（AFO-DPSO）算法,利用粒子的位置和速度信息来动态调整分数阶次α,并引入自适应的加速系数控制策略和变异处理机制,以获取更优的收敛性能。对几种典型函数的测试结果表明,相比于现有的粒子群算法,所提的AFO-DPSO算法的搜索精度、收敛速度和稳定性都有了显著提高,全局寻优能力得到了进一步提高。     

基于参数切换的分数阶系统的混沌控制

将混沌控制方法——参数切换法——应用于分数阶混沌系统,可以得到稳定的吸引子,维持了分数阶混沌系统的动力学稳定．该方法在一个相对较短的时间周期,通过在一组可供选择的数值内切换系统的一个可控参数来实现,合成的稳定吸引子很好地反映了全局吸引子的数值逼近,且与平均吸引子实现了很好的匹配,达到了混沌控制的目的．仿真结果表明,该方法具有鲁棒性和无损性,可以有效地实现混沌控制．     

Control and synchronization of fractional-order chaotic satellite systems using feedback and adaptive control techniques

In this article, we present the basic concepts of fractional calculus and control and synchronization of fractional-order chaotic satellite system . Existence and uniqueness solutions of fractional-order satellite system are discussed and local stability of the system at the equilibrium points are studied. The lowest dimension of chaotic attractor of satellite system is 2.88 which is obtained through utilization of the fractional dynamics and computational simulation. Lyapunov exponents and bifurcation diagrams are drawn to measure the existence of chaos in the system. Feedback control method for chaos control in the fractional-order satellite system is achieved. Synchronization of two identical noninteger order chaotic satellite systems are achieved through adaptive control methodology.