Indirect adaptive fuzzy control for a class of nonlinear discrete-time systems

An indirect adaptive fuzzy control scheme is developed for a class of nonlinear discrete-time systems. In this method, two fuzzy logic systems are used to approximate the unknown functions, and the parameters of membership functions in fuzzy logic systems are adjusted according to adaptive laws for the purpose of controlling the plant to track a reference trajectory. It is proved that the scheme can not only guarantee the boundedness of the input and output of the closed-loop system, but also make the tracking error converge to a small neighborhood of the origin. Simulation results indicate the effectiveness of this scheme.     

非线性离散系统的直接自适应神经网络控制器

对于一类非仿射离散时间系统,提出了一种新的自适应神经网络控制器。首先推导与原系统等价的仿射形式模型,由仿射模型推导控制律。控制律中采用一个神经网络,与传统的基于反馈线性化的自适应神经网络设计方法中采用两个神经网络相比,计算量大大减少且避免了控制器奇异问题。神经网络权值根据系统输入输出信号进行更新,另外σ项的引入,取消了为保证参数收敛持续激励的条件。系统的稳定性通过Lyapunov方法进行了分析,仿真实例验证了控制器的有效性。     

Adaptive neural control for a class of uncertain stochastic nonlinear systems with dead-zone

The problem of adaptive stabilization is addressed for a class of uncertain stochastic nonlinear strict-feedback systems with both unknown dead-zone and unknown gain functions.By using the backstepping method and neural network(NN) parameterization,a novel adaptive neural control scheme which contains fewer learning parameters is developed to solve the stabilization problem of such systems.Meanwhile,stability analysis is presented to guarantee that all the error variables are semi-globally uniformly ultimately bounded with desired probability in a compact set.The effectiveness of the proposed design is illustrated by simulation results.     

多变量非线性系统的直接自适应模糊预测控制

对一类多变量非线性系统提出了直接自适应模糊预测控制方法,此方法首先对被控对象提出了线性时变子模型加非线性子模型的预测模型,然后直接利用模糊系统设计预测控制器,并基于时变增益自适应律对控制器中的未知向量和逼近误差估计值进行自适应调整。证明了此方法可使跟踪误差收敛到原点的一个邻域内,仿真结果验证了此方法的有效性。     

Adaptive neural network tracking control for a class of unknown nonlinear time-delay systems

1 .INTRODUCTIONNeural network (NN) control has made great pro-gress in past decades[1 ~4]. In Ref .[1] , adaptivebounding design technique was applied to adaptiveneural control for a class of strict-feedback nonlin-ear systems . The requirement of a known boundon the network reconstruction error was removed.By introducing an integral Lyapunov function,anadaptive NN control approach was proposed forunknown strict-feedback nonlinear systems[2],where the controller singularity problem was …     

New adaptive quasi-sliding mode control for nonlinear discrete-time systems

A new adaptive quasi-sliding mode control algorithm is developed for a class of nonlinear discrete-time systems, which is especially useful for nonlinear systems with vaguely known dynamics. This design is model-free, and is based directly on pseudo-partial-derivatives derived on-line from the input and output information of the system using an improved recursive projection type of identification algorithm. The theoretical analysis and simulation results show that the adaptive quasi-sliding mode control system is stable and convergent.     

基于观测器的非线性系统直接自适应模糊控制

针对状态不可测的一类不确定非线性系统,利用模糊系统的逼近能力,提出一种基于观测器的直接自适应模糊控制方案。该方案通过引入观测量的调制函数,使得模糊系统的输入集在有界闭区域上,从而取消了观测量有界的假设。利用Kalman Yacubovitch Popov定理及李亚普诺夫函数,证明了闭环控制系统所有信号是有界的,跟踪误差收敛到零。仿真结果表明了该方法的有效性。     

时变非线性系统直接自适应迭代学习控制

针对一类含有非周期时变参数化不确定性的非线性系统,设计了一种新的迭代神经网络估计器,解决了非周期时变不确定性带来的设计难题。用迭代神经网络直接对期望控制量进行整体逼近,利用Lyapunov稳定性理论和自适应迭代学习控制技术设计了控制器,并进行稳定性分析,证明了系统所有状态量有界,且输出量将收敛至期望轨迹的一个邻域内。仿真结果验证了控制器设计方案的正确性。     

Survey on nonlinear reconfigurable flight control

An overview on nonlinear reconfigurable flight control approaches that have been demonstrated in flight-test or highfidelity simulation is presented. Various approaches for reconfigurable flight control systems are considered, including nonlinear dynamic inversion, parameter identification and neural network technologies, backstepping and model predictive control approaches. The recent research work, flight tests, and potential strength and weakness of each approach are discussed objectively in order to give readers and researchers some reference. Finally, possible future directions and open problems in this area are addressed.     

多入多出非仿射系统的径向基网络逆控制方法

针对多入多出非仿射非线性系统, 提出了一种径向基网络补偿逆模型误差的自适应控制方法. 将难以求逆的非仿射项分解为可逆部分和不可逆部分, 可逆部分作为理想逆来近似系统的直接逆, 逆模型误差用径向基网络的自适应控制信号补偿, 网络权值利用不可逆部分非仿射信息更新, 应用均值理论和Lyapunov函数证明了自适应控制律的稳定性. 仿真结果验证了该方法的有效性.     

基于多模型结构的非线性鲁棒自适应跟踪控制

针对复杂的非线性系统,提出一种基于多模型结构的鲁棒自适应控制方法,使得系统可以在不同的运行环境下跟踪给定的信号.由多个线性模型和一个模糊模型及其相应的控制器构成基本的多模型控制系统,再引入动态结构自适应神经网络以保证系统的稳定性及抑制由频繁切换引起的噪声.最后,对某小型飞机进行全包络飞行跟踪控制的仿真,验证所提控制方法是有效的.     

一类纯反馈非仿射非线性系统的自适应神经网络变结构控制

研究了一类非仿射的纯反馈单输入单输出非线性系统。针对此系统,在中值定理、神经网络参数化和解耦Backstepping的基础上,提出了一种自适应变结构神经网络控制策略,而且所给出的定理证明闭环系统的所有信号在平衡点上是半全局一致有界的。通过对一个非仿射CSTR对象的仿真验证了该方法的有效性。     

基于自适应神经网络的非线性系统故障诊断

针对一类模型未知及状态不可测的非线性系统,提出了基于自适应神经网络的故障诊断策略,不仅在线估计神经网络的矩阵权重,而且在线估计高斯函数的宽度和中心。该方法对系统的未知非线性特性没有特别要求,仅对神经网络提出较弱的假设条件。首先利用径向基函数(Radial Basis Function,简称RBF)神经网络构造状态观测器,估计系统的状态。然后利用另一个自适应RBF神经网络作为故障估计器,其输入是系统的估计状态(而不是系统状态),其输出为系统所发生的故障模型。利用Lyapunov稳定理论详细分析了状态误差和故障误差的收敛性,分别给出了两个神经网络的参数调整律,仿真证明了该方法的实用性和有效性。     

Neural network based adaptive sliding mode control of uncertain nonlinear systems

The purpose of this paper is the design of neural network-based adaptive sliding mode controller for uncertain unknown nonlinear systems. A special architecture adaptive neural network, with hyperbolic tangent activation functions, is used to emulate the equivalent and switching control terms of the classic sliding mode control (SMC). Lyapunov stability theory is used to guarantee a uniform ultimate boundedness property for the tracking error, as well as of all other signals in the closed loop. In addition to keeping the stability and robustness properties of the SMC, the neural network-based adaptive sliding mode controller exhibits perfect rejection of faults arising during the system operating. Simulation studies are used to illustrate and clarify the theoretical results.     

新型神经网络模型参考自适应控制系统设计

针对任意复杂非线性系统，即控制器具有不可分离结构的离散非线性系统，提出新型神经网络模型参考自适应控制。该方案的提出简化了基于神经网络的模型参考自适应控制系统的设计，只需一个神经网络辨识器。统一了任意神经网络模型参考自适应控制的设计方法，更接近于工程实际。仿真结果证明了该方案的合理性和有效性。     

FBFN-based adaptive repetitive control of nonlinearly parameterized systems

An adaptive repetitive control scheme is presented for a class of nonlinearly parameterized systems based on the fuzzy basis function network （FBFN）. The parameters of the fuzzy rules are tuned with adaptive schemes. To attenuate chattering effectively, the discontinuous control term is approximated by an adaptive PI control structure. The bound of the discontinuous control term is assumed to be unknown and estimated by an adaptive mechanism. Based on the Lyapunov stability theory, an adaptive repetitive control law is proposed to guarantee the closed-loop stability and the tracking performance. By means of FBFNs, which avoid the nonlinear parameterization from entering into the adaptive repetitive control, the controller singularity problem is solved. The proposed approach does not require an exact structure of the system dynamics, and the proposed controller is utilized to control a model of permanent-magnet linear synchronous motor subject to significant disturbances and parameter uncertainties. The simulation results demonstrate the effectiveness of the proposed method.     

基于观测器的不确定非线性系统L1自适应控制

针对一类严格块反馈型不确定非线性系统,采用反步设计方法提出了一种新的基于滑模状态观测器的L1自适应控制方案。由于系统状态不完全可测,首先设计滑模观测器对系统状态进行估计,并分析观测器的收敛性,在此基础上,通过反步法得到系统的理想控制律。为了消除反步控制中的“项数膨胀”,引入非线性跟踪微分器来提取理想控制律的微分信号。为提高系统响应的瞬态性能,消除控制输入的高频振荡,引入L1自适应控制对控制律进行改进,通过理论推导证明了闭环系统的稳定性。最后通过数值仿真算例验证了所设计控制方案具有快速的收敛性、良好的跟踪性等期望性能。     

基于聚类方法和神经网络的非线性系统多模型自适应控制

针对具有参数跳变的非线性系统,联合聚类算法和神经网络提出新的多模型自适应控制方法。首先对系统的输入输出数据进行模糊聚类,然后基于递推最小二乘法建立多个固定模型。为提高系统的暂态性能,同时建立两个自适应模型,并在此基础上设计鲁棒自适应控制器。此外,为了补偿系统的非线性部分,建立非线性预测模型,并设计非线性神经网络自适应控制器。所提方法可使控制切换系统具有稳定性保证。最后,通过性能指标对控制器进行平滑切换。仿真结果表明,所提方法能够保证系统具有良好的控制性能。     

一类非线性系统的自适应模糊滑模定位控制

针对一类由多子系统组成的,具有建模误差和未知不确定性的多变量非线性系统,提出了一种自适应鲁棒定位控制方案。分别在系统数学模型已知或未知的情形下,通过对不确定性的未知范数界描述,基于Lyapunov理论和Barbalat引理,给出了滑模鲁棒控制器的综合设计方法及其自适应控制律,保证整个闭环误差系统的稳定。该方法减少了对系统模型精确度的依赖,避免了传统方法对不确定性的人为预估行为。最后,通过船舶动力定位系统的控制仿真表明了本方法的有效性。     

含非线性输入的非线性系统自适应模糊控制

讨论一类含非线性输入的非线性系统的自适应模糊控制问题。首先运用隐函数存在定理证明系统的理想控制器的存在性,利用I型模糊逻辑系统对该理想控制器进行在线逼近,提出了一种具有监督器的自适应模糊滑模控制器设计的新方案。该方案通过直接自适应模糊控制器与监督控制器的适当切换,保证了闭环系统的稳定性,由此确定出建模的有界区域,而且通过引入最优逼近误差的自适应补偿项,保证跟踪误差收敛到零。仿真结果表明了该方法的有效性。