一类非线性系统的鲁棒自适应控制

针对一类含有不确定参数和未知扰动的非线性系统，提出一种鲁棒自适应控制方法以确保系统输出稳定地精确跟踪给定的参考信号。控制器的设计分两步进行：首先，在不考虑扰动的情况下，采用一种基于参数映射的Lyapunov设计方法设计系统参数自适应控制器；然后，在该自适应控制器的基础上，采用衰减控制策略设计鲁棒补偿器，实现对扰动的抑制。最后通过数字仿真验证了设计方案的有效性。     

自适应主动隔振中输出饱和抑制方法的仿真研究

针对自适应主动隔振中存在的控制器输出饱和,提出饱和抑制方法并进行算法仿真研究。该抑制方法基于跟踪滤波和归一化LMS算法,根据引起控制器饱和的直接原因提出约束优化函数,并在快速脱离饱和以及快速收敛的约束条件下确定权系数更新公式中的可变因子。新的自适应算法在理论上能够保证控制器尽快脱离输出饱和状态,使控制误差快速下降。以一个五自由度的振动系统进行算法数值仿真,并用Sigmoid函数描述饱和输出特性,显式表示可变因子,仿真结果表明所提方法能够有效地抑制输出饱和的不良影响,显著改善自适应主动隔振的控制效果。     

坦克稳定器状态补偿控制研究

基于状态观测、补偿理论，设计坦克稳定器控制系统。通过遗传算法优化控制器参数，结合Monte-Carlo随机试验方法，进行系统的性能鲁棒分析。动态仿真试验表明在考虑系统的本质非线性环节、高频低幅外扰的情况下，所设计的控制器比PI控制具有更高的精度，更小的超调量，比滑模控制具有更强的扰动抑制能力，并且克服了本质非线性环节的影响，具有快速随动、稳态无静差、扰动不敏感的性能。     

基于负载扰动解耦的磁浮列车非线性控制器设计

悬浮系统控制技术是磁浮列车的关键技术之一.首先建立悬浮系统的非线性模型.针对磁浮列车模型参数变化主要来自负载扰动,结合非线性系统解耦控制方法,设计一种基于负载扰动解耦的非线性控制器,并根据控制器的要求设计了质量观测器,实现控制器的输出与负载扰动解耦.仿真结果表明,解耦控制器能够消除了负载扰动对悬浮系统的影响,具有很好的适应性和鲁棒性.     

具有不确定性的轧机传动系统预测控制设计

针对轧机传动系统存在参数不确定性和负载扰动的特点,建立了轧机传动系统的状态空间模型,提出采用预测控制方法提高轧机传动系统的鲁棒性,构建了基于预测控制的轧机传动系统控制策略。利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了基于状态反馈的轧机传动系统预测控制器设计方法,并通过引入状态变量的衰减律来提高闭环系统的响应速度。仿真结果表明,该预测控制器不仅有效地抑制了负载扰动的影响,同时对轧机传动系统内部参数摄动也具有较强的鲁棒性。     

基于LPV的超空泡航行体H∞抗饱和控制

针对超空泡航行体在运动过程中面临的执行器饱和问题,提出一种基于线性变参数(linear parameter varing ,LPV)的抗饱和控制方法。首先在航行体动力学模型基础上考虑执行器饱和非线性因素,将滑行力和执行器分别建模为时变参数的仿射函数,最终得到系统矩阵仿射依赖于时变参数的LPV模型,同时,该模型也考虑了噪声干扰条件下控制器的鲁棒性。基于该LPV模型,运用多面体理论和Lyapunov方法设计了不依赖于时变参数的静态状态反馈控制器。仿真结果表明,所设计的控制器可以保证航行体在执行器发生饱和时仍能渐近跟踪给定深度指令,且在零初始条件下具有对噪声的H∞抑制性能。     

DVD聚焦系统鲁棒重复控制器设计

在DVD聚焦伺服系统中,光盘翘曲会导致产生与光盘转动频率相同的周期性扰动。采用重复控制器可以有效抑制周期扰动,但是重复控制器影响闭环系统稳定性,尤其是当对象具有不确定性时,重复控制器设计的难度将大大增加。故一种基于H无穷理论的鲁棒控制策略被给出,仿真实验证明了该策略的有效性。     

多温区空间晶体生长炉温度系统积分滑模变结构控制

多温区空间晶体生长炉温度系统是多输入多输出、强耦合对象.晶体生长要求对炉温进行精密控制,为抑制各温区间的耦合作用,提出一种积分滑模变结构控制器,利用其对匹配扰动的不变性实现解耦,同时,该控制器的积分作用可以有效减小系统稳态误差.仿真结果显示该方法是有效的.     

中立型系统的时滞相关非脆弱H∞控制

讨论中立型系统的时滞相关非脆弱H∞控制问题.利用最近提出的积分不等式,针对非脆弱控制器的加性与乘性不确定性两种形式,获得了中立型系统在非脆弱控制器作用下不仅内部渐近稳定而且具有给定的H∞扰动抑制水平的时滞相关条件.利用这一务件,给出了非脆弱控制器的设计方法,该方法不要调节参数,利用Matlab的LMI工具箱求解方便,数值仿真说明了方法的有效性.     

离散饱和线性反馈系统的分析设计

研究了状态反馈控制饱和单输入离散系统和动态输出反馈单输出饱和离散系统的稳定性，给出了这两类系统是全局渐近稳定还是区域渐近稳定的充分性条件，且对区域渐近稳定的情况计算其不变吸引椭球，对控制饱和系统，运用Ricatti方程迭代法设计控制器以使所得椭球尽量大；最后用算例说明方法的有效性．     

Control and optimization of sampled-data systems with quantization and actuator saturation

This paper is concerned with control and optimization for a sampled-data system with quantization and actuator saturation. Based quantization and actuator saturation a controller is introduced. The corresponding closed loop system is transformed into a system with input saturation and bounded external disturbance. A new Lyapunov functional is constructed to derive a sample-interval dependent condition on the existence of a state feedback controller such that the closed-loop system is exponentially convergent to an ultimate ellipsoid for the initial condition starting from some initial ellipsoid. Based on the condition, the desired controller is designed. Furthermore, optimization problems about the sample-interval, the ultimate ellipsoid and the initial ellipsoid are formulated. An example is given to illustrate the effectiveness of the proposed method.     

基于干扰补偿的拦截弹新型反演姿态控制

针对同时具有未知干扰以及输入饱和与死区特性的大气层内拦截弹姿态控制系统,提出了一种基于干扰补偿的自适应动态面控制器设计方法。该方法通过设计改进的非线性干扰观测器(nonlinear disturbance observer, NDO)对未知干扰进行抑制,利用径向基函数(radial basis function,RBF)神经网络逼近输入饱和引起的非线性项,通过设计参数自适应律在线估计未知死区边界。通过构造合适的Lyapunov函数,证明闭环系统状态一致终结有界。仿真结果表明,所提方法鲁棒性良好,在输入非线性和未知干扰作用下,依然能良好地跟踪指令信号。     

Robust decentralized H∞ control of multi-channel systems with norm-bounded parametric uncertainties

A robust decentralized H∞ control problem for uncertain multi-channel systems is considered. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. The dynamic output feedback is mainly dealt with. A necessary and sufficient condition for the uncertain multi-channel system to be stabilized robustly with a specified disturbance attenuation level is derived based on the bounded real lemma, which is reduced to a feasibility problem of a nonlinear matrix inequality (NMI). A two-stage homotopy method is used to solve the NMI iteratively. First, a decentralized controller for the nominal system with no uncertainty is computed by imposing structural constraints on the coefficient matrices of the controller gradually. Then the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, a variable is fixed alternately at the iterations to reduce the NMI to a linear matrix inequality (LMI). A given example shows the efficiency of this method.     

Robust decentralized H∞ control of multi-channel systems with norm-bounded parametric uncertainties

A robust decentralized H∞ control problem for uncertain multi-channel systems is considered. The uncertainties are assumed to be time-invariant, norm-bounded, and exist in both the system and control input matrices. The dynamic output feedback is mainly dealt with. A necessary and sufficient condition for the uncertain multi-channel system to be stabilized robustly with a specified disturbance attenuation level is derived based on the bounded real lemma, which is reduced to a feasibility problem of a nonlinear matrix inequality (NMI). A two-stage homotopy method is used to solve the NMI iteratively. First, a decentralized controller for the nominal system with no uncertainty is computed by imposing structural constraints on the coefficient matrices of the controller gradually. Then the decentralized controller is modified, again gradually, to cope with the uncertainties. On each stage, a variable is fixed alternately at the iterations to reduce the NMI to a linear matrix inequality (LMI). A given example shows the efficiency of this method.     

基于扰动观测器的伺服控制器设计及仿真研究

利用扰动观测器减弱系统的量测噪声和外部扰动,利用抗漂移的状态反馈控制器来减弱驱动饱和的影响,将这两种策略综合用于伺服控制器的设计并重点对这种方案进行了仿真对比研究。仿真结果表明基于扰动观测器的伺服系统在扰动及量测噪声不大,且系统模型参数变化不大的情况下具有较高的动态性能及较高的跟踪精度并能克服饱和约束的不良影响。     

Sliding mode H∞ control for a class of uncertain nonlinear state-delayed systems

A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the occurrence of sliding mode even when the system is undergoing parameter uncertainties and external disturbance. The resulting sliding mode has the same order as the original system, so that it becomes easy to solve the H∞ control problem by designing a memoryless H∞ state feedback controller. A delay-dependent sufficient condition is proposed in terms of linear matrix inequalities (LMIs), which guarantees the sliding mode robust asymptotically stable and has a noise attenuation level γ in an H∞ sense. The admissible state feedback controller can be found by solving a sequential minimization problem subject to LMI constraints by applying the cone complementary linearization method. This design scheme combines the strong robustness of the sliding mode control with the H∞ norm performance. A numerical example is given to illustrate the effectiveness of the proposed scheme.     

Robust Chattering-Free Finite Time Attitude Tracking Control with Input Saturation

This paper addresses the attitude tracking control problem of a rigid spacecraft in the presence of the modeling uncertainty, external disturbance, and saturated control input by designing two robust attitude tracking controllers. The basic controller is formulated using an integral sliding mode surface which is continuous and provides an asymptotic convergence rate for the closed-loop system. In this case, only the external disturbance with the prior information is considered. Then, to provide a finite time convergence rate and further improve the robustness of the control system under the unknown system uncertainty containing both the modeling uncertainty and external disturbance,a novel integral terminal sliding mode surface(ITSMS) is designed and associated with the continuous adaptive control method. Besides, a command filter is utilized to deal with the immeasurability problem within the proposed ITSMS and an auxiliary system to counteract the input saturation problem. Digital simulations are presented to verify the effectiveness of the proposed controllers.     

控制方向未知的输入受限非线性系统自适应模糊反步控制

针对一类输入受限控制方向未知的非线性系统,提出一种基于Lipschitz条件的自适应模糊反步控制器的设计方法。在控制器的设计过程当中,通过变换系统形式和采用Butterworth低通滤波器解决控制方向未知的问题;采用模糊系统对不确定非线性函数进行在线逼近;利用双曲正切函数和Nussbaum函数对系统输入饱和函数进行处理;将动态面法与反步法相结合解决“计算膨胀”的问题。运用Lyapunov理论分析证明设计的控制律能够使闭环系统所有信号半全局一致有界(semi-globally uniformly ultimately bounded, SGUUB)。该方法的有效性在一类通用的高超声速飞行器的攻角控制仿真中得到了验证。     

冷连轧机张力系统H∞混合灵敏度鲁棒控制器设计

针对2030五机架冷连轧机四五机架间张力系统被控对象,利用H混合灵敏度鲁棒控制方法设计了其张力鲁棒控制器。仿真研究结果及与常规PI控制效果的比较表明,所设计的张力鲁棒控制器对前后滑和外界干扰等不确定性具有更好的抑制作用,从而证明了所设计控制器的有效性。     

液压伺服驱动位置控制系统的鲁棒性能设计

针对液压伺服动连铸结晶器位置环控制对象，实测了其对数幅频特性，产拟合得到控制对象的较准确的数学模型，考虑伺服系统的干扰来自被控制对象输入端，而且系统存在高频未建模动态和参数时变性，不确定性，文章采用μ综合的方法，设计了其降阶鲁棒控制器，仿真 结果表明，所设计的控制器使闭环系统对输入端的干扰有强的抑制能力，系统也很好地跟踪了10Hz的正弦输入信号、达到了期望性能。