基于扩张状态观测器的永磁同步电机混沌系统自适应滑模控制

针对部分状态不可测的永磁同步电机混沌系统, 结合自适应滑模控制和扩张状态观测器理论, 提出一种基于扩张状态观测器的永磁同步电机自适应混沌控制方法, 取消了系统所有状态完全可测的限制. 通过坐标变换, 将永磁同步电机混沌模型变为更适宜控制器设计的Brunovsky标准形式. 在系统部分状态和非线性不确定项上界均未知的情况下, 基于扩张状态观测器估计系统未知状态及不确定项, 并设计自适应滑模控制器, 保证系统状态快速稳定收敛至零点. 仿真结果表明, 该控制器能够改善滑模控制的抖振问题以及提高系统鲁棒性. 关键词： 永磁同步电机 混沌控制 扩张状态观测器 自适应滑模     

BTT导弹基于扩张状态观测器的滑模控制律设计

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;该控制器算法简单、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控制器。     

高精度光电跟踪系统中伺服稳定控制算法研究

针对光电跟踪稳定平台系统中载机振动、系统参数摄动、摩擦力矩及外部扰动等因素直接影响光电跟踪系统稳定精度的问题,从伺服控制器控制角度出发抑制跟踪系统中的偏差,提高稳定精度,保证其在复杂环境下仍具有强鲁棒性。通过建立光电跟踪稳定平台系统的数学模型,分析干扰力矩、陀螺噪声及系统参数的变化对光电稳定平台的影响,设计了基于新型非线性扩张观测器（novel nonlinear extended state observer,NNESO）和滑模变结构控制（sliding mode varianle structure control,SMVSC）的复合控制策略。理论推导和仿真实验结果表明:此种复合控制策略具备对干扰力矩、外界扰动和系统结构参数摄动的完全适应性和强鲁棒性,对比无新型非线性扩张观测器的控制系统,证明其拥有更高的稳定精度和更快的动态响应,在补偿非线性方面具有良好的效果,可增强光电跟踪稳定平台的抗扰动能力。     

考虑模型不确定性和时延的静止无功补偿器自适应滑膜控制器设计

静止无功补偿器(static var compensator,SVC)不仅可以为电力系统提供无功支撑、稳定电压,其附加控制还可以有效提高系统暂态稳定性,但SVC模型参数的不确定性以及广域测量信号时延等外部干扰给附加控制器的设计带来很大的难度.提出了一种基于自适应滑模变结构理论的SVC鲁棒控制器设计方法,所设计控制器能有效提高系统暂态稳定性,并且其对于模型不确定性以及时延有较好的鲁棒性.首先根据区域惯量中心的运动方程建立了包含SVC的电力系统模型;然后将滑模变结构理论应用于电力系统模型中,求得SVC附加控制律,并通过自适应律优化控制器参数;最后通过四机两区域系统以及IEEE9节点系统对SVC控制器效果进行了仿真验证.结果表明,SVC自适应滑模控制器可以有效提升系统暂态稳定性,并且其性能优于传统的线性控制方法.     

飞行模拟转台非线性干扰观测器反步滑模控制器设计

本文针对考虑不确定性的飞行模拟转台伺服系统,提出了一种基于非线性干扰观测器的反步全局滑模补偿控制方法。该方法采用反步控制方法设计转速期望虚拟控制,然后利用非线性干扰观测器观测系统不确定干扰,进而对引入非线性干扰观测器的系统设计自适应全局滑模控制器,实现了飞行模拟转台伺服系统期望转角信号的鲁棒跟踪控制,仿真结果表明,该方法控制效果良好,具有很好的工程应用价值。     

基于模糊切换增益调节的燃气流量滑模控制

将模糊控制方法与滑模控制方法相结合,针对燃气流量调节伺服系统设计一种基于模糊切换增益调节的滑模控制器,固冲发动机流量调节伺服控制系统的不确定部分通过滑模控制器来补偿,从而可实现固冲发动机流量调节伺服系统的鲁棒控制。使用matlab对固冲发动机流量调节伺服系统进行建模仿真并与单纯使用滑模控制方法进行比较,仿真结果表明基于模糊切换增益调节的固冲发动机模糊滑模控制系统具有较好的给定适应性和抗干扰性,采用该控制方案能有效的抑制系统随机干扰对控制系统的不利影响,控制效果优于纯滑模控制方法,消弱了控制信号的抖振,为提高固冲发动机流量调节控制系统的动态性能奠定基础。     

一类混沌系统的同步方法

针对一类混沌系统的特点,任意构造满足一定条件的响应系统,根据滑模控制策略得到实现两者同步的反馈控制器.在可测同步误差基础上,利用扩张状态观测器来估计驱动系统与“构造”的响应系统之间的差异,把上述反馈控制策略转变为物理可实现的控制器并实现两者的同步.以Duffing和Chua’s电路为例的仿真表明效果良好 关键词： 混沌同步 滑模控制 扩张状态观测器     

具有死区非线性输入的一类不确定混沌系统的自适应控制

研究了一类具有死区非线性输入的不确定混沌系统的控制问题. 通过引入死区非线性控制项,有效的消除了实际中由于死区非线性输入的存在而引起的不良控制效果, 设计控制器过程中对系统死区模型无需任何限制条件, 同时引入扩张观测器, 从而只需要知道系统的一个状态, 就可以观测出系统待确定的未知信息. 对Duffing系统的数值仿真结果表明该控制方案是有效的. 关键词： 混沌系统 扩张观测器 死区 非线性输入     

机动平台光电跟踪系统的自抗扰控制研究

针对机动平台光电跟踪系统跟踪目标需具备较强动态抗扰能力的问题,提出了一种将包含了非线性跟踪微分器、扩张状态观测器、非线性状态误差反馈三个环节的结构完整的自抗扰控制器用于光电跟踪伺服系统的速度环的思路。针对某单轴稳定转台设计了二阶自抗扰控制器,并进行了仿真研究。结果表明,该控制器对外扰变化及系统模型不确定性具有良好的鲁棒性和适应性,且能有效抑制系统中存在的非线性因素的影响。     

基于ESO的装甲车辆稳瞄系统积分滑模控制

针对装甲车辆稳瞄系统中存在摩擦力矩、参数漂移等非线性扰动因素造成系统性能下降的问题,设计一种基于扩张状态观测器（ESO）的积分滑模控制策略。在基于状态变量的滑模面中引入了误差积分补偿项,有利于降低系统的稳态误差,同时突破了常规滑模控制中被跟踪信号的各阶导数均需已知的限制;利用ESO对系统内外扰动进行观测补偿,减小了滑模控制所需要的切换增益,削弱滑模控制容易出现的抖振现象。仿真及实验结果表明,跟踪精度保持在0.5％以内,系统最大稳定误差小于0.1 mrad,该控制策略能够很好地抑制各种非线性扰动因素的影响,有效地改善系统的控制性能。     

Full-order sliding mode control of uncertain chaos in a permanent magnet synchronous motor based on a fuzzy extended state observer

A full-order sliding mode control based on a fuzzy extended state observer is proposed to control the uncertain chaos in the permanent magnet synchronous motor. Through a simple coordinate transformation, the chaotic PMSM model is transformed into the Brunovsky canonical form, which is more suitable for the controller design. Based on the fuzzy control theory, a fuzzy extended state observer is developed to estimate the unknown states and uncertainties, and the restriction that all the system states should be completely measurable is avoided. Thereafter, a full-order sliding mode controller is designed to ensure the convergence of all system states without any chattering problem. Comparative simulations show the effectiveness and superior performance of the proposed control method.     

PD-Based Optimal ADRC with Improved Linear Extended State Observer

Taking dead-zone nonlinearlity and external disturbances into account, an active disturbance rejection optimal controller based on a proportional-derivative (PD) control law is proposed by connecting the proportional-integral-derivative (PID) control, the active disturbance rejection control (ADRC) and particle swarm optimization (PSO), with the purpose of providing an efficient and practical technology, and improving the dynamic and steady-state control performances. Firstly, in order to eliminate the negative effects of the dead-zone, a class of 2-order typical single-input single-out system model is established after compensating the dead-zone. Following that, PD control law is introduced to replace the state error feedback control law in ADRC to simplify the control design. By analyzing the characteristics of the traditional linear extended state observer, an improved linear extended state observer is designed, with the purpose of improving the estimation performance of disturbances. Moreover, employing PSO with a designed objective function to optimize parameters of controller to improve control performance. Finally, ten comparative experiments are carried out to verify the effectiveness and superiority of the proposed controller.     

Solitary wave solutions for some nonlinear time-fractional partial differential equations

In this paper, we have studied the hybrid projective synchronisation for incommensurate, integer and commensurate fractional-order financial systems with unknown disturbance. To tackle the problem of unknown bounded disturbance, fractional-order disturbance observer is designed to approximate the unknown disturbance. Further, we have introduced simple sliding mode surface and designed adaptive sliding mode controllers incorporating with the designed fractional-order disturbance observer to achieve a bounded hybrid projective synchronisation between two identical fractional-order financial model with different initial conditions. It is shown that the slave system with disturbance can be synchronised with the projection of the master system generated through state transformation. Simulation results are presented to ensure the validity and effectiveness of the proposed sliding mode control scheme in the presence of external bounded unknown disturbance. Also, synchronisation error for commensurate, integer and incommensurate fractional-order financial systems is studied in numerical simulation.     

Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

This paper presents a modified sliding mode control for fractional-order chaotic economical systems with parameter uncertainty and external disturbance. By constructing the suitable sliding mode surface with fractional-order integral, the effective sliding mode controller is designed to realize the asymptotical stability of fractional-order chaotic economical systems. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.     

Synchronization of different chaotic systems via active radial basis functions sliding mode controller

This paper presents a new method to synchronize different chaotic systems with disturbances via an active radial basis function （RBF） sliding controller. This method incorporates the advantages of active control, neural network and sliding mode control. The main part of the controller is given based on the output of the RBF neural networks and the weights of these single layer networks are tuned on-line based on the sliding mode reaching law. Only several radial basis functions are required for this controller which takes the sliding mode variable as the only input. The proposed controller can make the synchronization error converge to zero quickly and can overcome external disturbances. Analysis of the stability for the controller is carried out based on the Lyapunov stability theorem. Finally, five examples are given to illustrate the robustness and effectiveness of the proposed synchronization control strategy.