A New Robust Adaptive Control of Uncertain Nonlinear Systems and Pendulum Application

A new robust adaptive control of uncertain nonlinear systems is proposed in this paper. The proposed method combines sliding mode control with the immersion and invariance (I&I) adaptive scheme, and it has more available degrees of freedom than using the backstepping scheme. Via the proposed method, a class of nonlinear systems with mismatched parametric perturbations can be rendered asymptotically stable and the performance of the system can also be improved. Finally, the proposed method is applied to a simple pendulum with motor dynamics, and simulation results show the effectiveness and performance of the proposed method.     

Sliding Mode Control for Nonlinear Markovian Jump Systems Under Denial-of-Service Attacks

This paper investigates the sliding mode control (SMC) problem for a class of discrete-time nonlinear networked Markovian jump systems (MJSs) in the presence of probabilistic denial-of-service (DoS) attacks. The communication network via which the data is propagated is unsafe and the malicious adversary can attack the system during state feedback. By considering random Denial-of-Service attacks, a new sliding mode variable is designed, which takes into account the distribution information of the probabilistic attacks. Then, by resorting to Lyapunov theory and stochastic analysis methods, sufficient conditions are established for the existence of the desired sliding mode controller, guaranteeing both reachability of the designed sliding surface and stability of the resulting sliding motion. Finally, a simulation example is given to demonstrate the effectiveness of the proposed sliding mode control algorithm.      

Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness (FTB) based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities (LMIs), which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control (SMC) law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface s(t)=c (c is a constant) in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.      

一类非线性系统的自适应模糊滑模控制

对一类具有不确定性的非线性系统,根据滑模控制原理并利用模糊系统的逼近能力,提出了一种自适应模糊滑模控制系统的设计方法.控制结构中采用模糊系统自适应朴偿过程的不确定性.利用李雅普诺夫理论,证明了控制算法是全局稳定的,跟踪误差可收敛到零的一个邻域内.     

伺服系统的复合自适应滑模控制

对于采用自适应方法的鲁棒跟踪控制系统,初始参数估计误差、参数突变、非持续激励等因素均可引起瞬态过程.瞬态性能的好坏对跟踪误差峰值及恢复时间有较大影响,是实现高性能跟踪控制的关键,而目前典型设计多采用直接自适应方法,其较差的瞬态特性制约了跟踪性能的进一步提高.针对该问题,以交流伺服系统为研究对象,将直接自适应、间接自适应及滑模控制相融合,提出一种基于有界增益遗忘最小二乘法的复合自适应滑模控制( CASMC)策略,Lyapunov分析表明该策略可实现持续激励条件下跟踪误差和参数估计误差在较大范围内的指数收敛,瞬态特性较清晰.最后,以某型火炮的方位轴伺服系统为应用背景进行仿真实验,结果显示,该控制策略在瞬态过程的误差峰值和持续时间方面均有显著改善,提高了伺服系统的跟踪性能.     

广义不确定系统的模糊滑模控制*

研究了广义不确定系统的模糊滑模控制问题。控制结构中采用模糊系统来补偿动态不确定性,利用李亚普诺夫理论,证明了闭环系统的所有状态是全局有界的。     

不确定非线性系统的自适应最终滑模控制──Backstepping方法(英)

对具有参数不确定与未知非线性的一类非线性系统，本文通过引入快慢两种切换线给出了一种自适应有限时间滑模控制机制．Backstepping方法被应用到设计中．此种控制机制保证了闭环系统的稳定性并使状态在有限时间内收敛到原点．仿真结果表明该控制机制的有效性．     

Quantization Effect on Sliding Mode Control of Uncertain Dynamical Systems

This paper studies the quantization effect on dynamical behaviors of the sliding mode control system with matched uncertainties and disturbances. The sufficient condition for stability of the system is given. The performance of both the sliding mode and the system trajectories with quantized state feedback are discussed. We show that the sliding mode with quantization is piecewise constant and the trajectory chatters in the boundary layer of the designed sliding manifold with thickness O(μ), where μ is the quantization level. Simulation results are presented to show the effectiveness of the theoretical results.     

非匹配不确定系统的自适应反演准滑模控制

对于一类n阶非线性系统,提出一种自适应反演准滑模控制方法,控制的前n-1步采用自适应反演算法消除非匹配不确定性的影响,在最后一步,为改进跟踪效果,结合了可变边界层的思想,设计了准滑模控制方法,达到系统的n个状态快速收敛的目的.最终系统中不满足匹配条件的部分也具有较好的鲁棒性.与自适应反演线性滑模方法相比具有更好的跟踪性,理论分析证明了控制系统在削弱抖振的同时也能保证稳态精度,仿真实验证明了该方法的可行性.     

非线性不确定大系统的分散滑动模控制

本文研究一类非线性不确定大系统的分散滑动模控制问题．首先给出了使滑动模具有良好动态品质的分散切换流形的设计方法；然后给出了一种基于不确定因素已知变化范围的分散滑动模控制器设计方法，该方法只需对各孤立子系统进行降阶滑动模的极点配置及求解降阶Ｌｙａｐｕｎｏｖ矩阵方程即可；最后以一具体例子说明其设计过程。     

具有分布时滞不确定中立型系统的滑模控制

针对一类含有分布时滞和不满足匹配条件的不确定中立型系统,通过利用Lya-punov稳定性理论和线性矩阵不等式(LMI)方法进行了滑模控制研究。首先,选取了依赖于当前状态和状态时滞的滑模面;设计了包含等效控制和非线性切换控制的滑模控制器使得系统满足滑模到达条件,即确保了系统在有限时间内到达滑模面。通过构造适当的Lyapunov函数,利用积分不等式技术,给出了闭环系统渐近稳定的充分条件。该充分条件通过采用虚拟反馈控制思想,结合状态反馈的极点配置方法,转换为线性矩阵不等式的形式,可通过Matlab中的LMI工具箱进行方便的求解。具体算例说明此方法的有效性。     

Adaptive Observer‐Based Global Sliding Mode Control for Uncertain Discrete‐Time Nonlinear Systems with Time‐Delays and Input Nonlinearity

A new discrete‐time adaptive global sliding mode control (SMC) scheme combined with a state observer is proposed for the robust stabilization of uncertain nonlinear systems with mismatched time delays and input nonlinearity. A state observer is developed to estimate the unmeasured system states. By using Lyapunov stability theorem and linear matrix inequality (LMI), the condition for the existence of quasi‐sliding mode is derived and the stability of the overall closed‐loop system is guaranteed. Finally, simulation results are presented to demonstrate the validity of the proposed scheme.     

一类非线性不确定中立型延迟系统的鲁棒滑模控制

讨论一类非线性不确定中立型系统的鲁棒滑模控制问题。通过选择依赖于当前状态和延迟状态的滑动面。就线性矩阵不等式（LMIs）的形式给出使得闭环系统渐近稳定的充分条件。当LMIs有可行解时。可以通过我们构造的控制使得可达条件得到满足。具体算例的仿真结果说明此法的有效性。     

一类非线性不确定系统的高阶积分自适应滑模控制

为有效改善传统积分滑模在一类非线性不确定系统的应用中存在的抖振问题,结合有限时间收敛理论、高阶积分滑模理论和自适应控制理论,提出了一种高阶积分自适应滑模控制方法;该方法通过选取有限时间收敛反馈量和设计高阶积分滑模面,不仅确保了系统状态误差在有限时间内的收敛性,而且还保证了系统具备对不确定性干扰的抑制能力;同时,当系统的不确定项的边界范围无法预先确定时,采用自适应方法对滑模控制的趋近速率进行估计;仿真结果表明所提方法能够有效抑制非线性不确定系统的抖动,并具有较高的控制精度.     

基于输入输出模型的模糊神经网络滑模控制

1　引言在实际系统中,一般难以取到系统的状态.因此,如何仅利用输入输出模型来控制系统一直是控制理论工作者关注的话题.Narendra等人[1]通过加入两个‘状态’滤波器设计了一种基于输入输出的模型参考自适应控制方案,提出了一个很好的思想.在其后的数十年中,基于输入输出?..     

Fuzzy Sliding Mode Control for Discrete Nonlinear Systems

Sliding mode control is introduced into classical model free fuzzy logic control for discrete time nonlinear systems with uncertainty to the design of a novel fuzzy sliding mode control to meet the requirement of necessary and sufficient reaching conditions of sliding mode control. The simulation results show that the proposed controller outperforms the original fuzzy sliding mode controller and the classical fuzzy logic controller in stability, convergence and robustness.     

基于模糊神经网络的非线性大系统滑模自适应控制

针对一类非线性大系统，基于模糊神经网络，提出了一种分散滑模自适应控制方法。由模糊神经网络实现滑模控制，平滑了控制切换信号，消除了滑模控制中出现的颤动现象且使系统有强的鲁棒性，同时在控制器的设计中不需要知道系统中的不确定性和扰动的上界。利用Ｌｙａｐｕｎｏｖ稳定理论证明了闭环系统是稳定的且跟踪误差收敛到零的一个邻域内。     

Finite‐Time Sliding Mode Trajectory Tracking Control of Uncertain Mechanical Systems

The problem of finite‐time tracking control is studied for uncertain nonlinear mechanical systems. To achieve finite‐time convergence of tracking errors, a simple linear sliding surface based on polynomial reference trajectory is proposed to enable the trajectory tracking errors to converge to zero in a finite time, which is assigned arbitrarily in advance. The sliding mode control technique is employed in the development of the finite‐time controller to guarantee the excellent robustness of the closed‐loop system. The proposed sliding mode scheme eliminates the reaching phase problem, so that the closed‐loop system always holds the invariance property to parametric uncertainties and external disturbances. Lyapunov stability analysis is performed to show the global finite‐time convergence of the tracking errors. A numerical example of a rigid spacecraft attitude tracking problem demonstrates the effectiveness of the proposed controller.     

基于LS-SVM的不确定非线性系统滑模控制

针对滑模控制中不确定上界值的问题,提出了一种基于LSSVM自适应上界学习的滑模控制方法.首先将系统分为确定部分和不确定部分,对确定部分采用状态反馈法进行控制,对不确定系统部分采用最小二乘支持向量机( LSSVM)来完成.该控制器不仅可以保证非线性不确定系统渐近稳定,降低一般滑模控制理论分析的条件,还有效地抑制了抖振.仿...