建筑结构含分数阶振动控制的最优阶次研究

为了在实际控制中获得更好的控制效果,以整数阶模型为研究对象,在控制器设计时人为地引入分数阶,通过定义控制性能指标和寻优来确定最优控制的分数阶阶次.为了建立分数阶系统和原整数阶系统之间的联系,取含分数阶状态方程和原整数阶系统状态方程一致的输出变量,并采用输出控制策略使得所设计的分数阶控制器能够应用于原整数阶模型.仿真结果表明,分数阶阶次的选择不仅影响系统控制的效果,还影响系统的稳定性,并给出了一个实例分析来说明本研究方法的可行性.     

Iterative design of variable fractional-order IIR differintegrators

In this paper, the variable fractional-order (VFO) differintegrator is designed based on IIR-typed Farrow structure. The stability of the designed VFO IIR differintegrator is achieved by incorporating a constrained function into the objective error function. But the minimization of the original objective error function is a highly nonlinear problem, so an iterative quadratic method is proposed to overcome it. Comparing with the design based on FIR-typed Farrow structure, several designed examples, including a VFO differintegrator, a pure VFO differentiator and a pure VFO integrator, are presented to demonstrate the effectiveness of the proposed method.     

Contribution to the Fault Diagnosis of a Doubly Fed Induction Generator for a Closed-loop Controlled Wind Turbine System Associated with a Two-level Energy Storage System

—In this article, a contribution to the fault diagnosis of a doubly fed induction generator for a closed-loop controlled wind turbine system associated with a two-level energy storage system using an on-line fault diagnostic technique is proposed. This technique is proposed to detect the rotor fault in the doubly fed induction generator under non-stationary conditions based on the spectral analysis of stator currents of the doubly fed induction generator by an adaptive fast Fourier transform algorithm. Furthermore, to prevent system deterioration, a fractional-order controller with a simple design method is used for the control of the whole wind turbine system. The fractional-order controller ensures that the system is stable in both healthy and faulty conditions. Additionally, to improve the production capacity under wind speed fluctuations and grid demand changes, a two-level energy storage system consisting of a supercapacitor bank and lead-acid batteries is proposed. The obtained simulation results show that the objectives of the fault diagnosis procedure and control strategy are reached.     

电力线信道系统噪声的建模方法研究

电缆系统存在信道环境恶劣、噪声特性复杂的问题,对系统的正常通信及故障检测造成较大的干扰。在对典型电力线噪声进行分类并分析其不同特性的基础上,针对电力线中常发生的电弧故障,提出基于分数阶滤波器的电弧噪声建模方法,以及基于数据驱动的电弧噪声模型参数确定方法,与典型电力线噪声相结合,建立更加完善、准确的电力线信道系统噪声模型。通过仿真和实验结果验证了模型的准确性,为后续开展电力线故障诊断技术的深入研究提供参考。     

DC-AC逆变器分数阶与整数阶PID控制对比

针对传统双环PID控制三相逆变器系统存在输出电压质量和鲁棒性不够理想,输出电压谐波含有率较高等问题,设计基于神经网络参数自整定的分数阶PIλDμ双环控制器:PIλDμ电流内环PIλDμ电压外环控制、PIλDμ电流内环PID电压外环控制和PID电流内环PIλDμ电压外环控制,并应用于不同的线性及非线性负载,考察其控制性能。仿真研究表明,分数阶PIλDμ电流内环整数阶PID电压外环控制性能最好,其次是整数阶PID电流内环分数阶PIλDμ电压外环控制和分数阶PIλDμ电流内环分数阶PIλDμ电压外环控制,性能最差的是传统的双环PID控制。     

基于模糊分数阶PID的含电动汽车的多能源微电网二次频率控制

为了解决分布式可再生能源间歇性发电和电动汽车接入微电网导致的微电网频率波动问题,针对含电动汽车接入的多能源微电网系统,设计了一种基于模糊自适应理论的分数阶比例-积分-微分(PID)二次频率控制器,通过建立模糊控制规则,结合频率偏差对模糊分数阶PID控制器参数进行实时在线整定.考虑光伏发电和风力发电输出功率波动、电动汽车接入微电网、随机负荷扰动3种不同场景,对所提出的模糊分数阶PID控制方法进行了仿真验证与量化分析.仿真结果表明,相比于传统PID控制器和分数阶PID控制器,所设计的模糊分数阶PID控制器使得系统频率响应振荡减少、超调量明显降低、动态调节时间更短,呈现出更强的抗扰动能力和鲁棒性,对于多能源微电网的二次频率调节具有优良的控制效果.     

分数阶单摆系统的终端滑模控制混沌同步

针对一类具有不确定性和外部扰动的分数阶单摆系统,本文提出了一种新的分数阶滑模同步控制方法．首先,在分数阶微积分的基础上,引入了一种新的非奇异分数阶终端滑模面,并利用分数阶 Lyapunov 稳定性定理,证明了在滑模面上误差系统能够在有限时间内收敛到平衡点．在此基础上,针对事先未知系统中不确定性和外部扰动的界的情况,设计了适当的自适应律．基于自适应律和有限时间控制思想,提出了一种自适应滑模控制器,以保证系统在给定的时间内发生滑模运动,并证明了所提出的滑模控制方法在到达和滑模阶段都具有有限时间收敛性和稳定性．最后,通过数值算例验证了该方案的适用性和有效性．     

Approximation-based adaptive fault compensation backstepping control of fractional-order nonlinear systems: An output-feedback scheme

An observer-based adaptive fuzzy backstepping approach is proposed for nonlinear systems with respect to fractional-order differential equations, unmatched uncertainties, unmeasured states, and actuator faults. The approximation capability of fuzzy logic system and minimal learning parameter approaches are applied to identify uncertain functions in a simultaneous manner. For estimating the unavailable conditions, a fuzzy fractional-order state-observer is extended. Applying fault-tolerant approach in a backstepping design methodology would provide a new fault-tolerant adaptive fuzzy output-feedback approach for fractional-order strict-feedback systems. This control structure would assure the considered system stability through selection of the appropriate Lyapunov candidate function. Two numerical simulations are run to exhibit the validity herein.     

Optimal approximation of asymmetric type fractional-order bandpass Butterworth filter using decomposition technique

In this letter, the optimal rational approximation of fractional-order bandpass Butterworth filter (FOBBF) is presented. The transfer function of the FOBBF is decomposed into a multiplication of first-order and second-order terms. As a result, the design stability conditions can be easily satisfied using only the variable boundary constraints. The proposed technique generalizes the symmetric fractional-order roll-off characteristic as only a special case of the asymmetric one. Several examples are presented to validate the modeling efficacy.     

分数阶单自由度间隙振子的受迫振动

研究了含有分数阶微分项的单自由度间隙振子的受迫振动,利用KBM渐近法获得了系统的近似解析解。分析了分段线性系统的主共振,得到了分数阶阶次在0～2时分数阶项的统一表达式;发现分数阶微分项在分段系统中以等效线性阻尼和等效线性刚度的形式影响着系统的动力学特性,而间隙以等效非线性刚度的形式影响着系统的动力学特性。获得了主共振幅频响应的表达式,并得到了系统的稳定性条件;比较了系统主共振幅频响应的近似解析解和数值解,发现两者符合程度较高,验证了近似解析解的正确性;详细分析了分数阶项和间隙对系统主共振幅频响应的影响。研究表明KBM渐近法是分析分数阶分段光滑系统动力学的有效方法。