一类非线性系统的输出反馈渐进输出追踪控制

研究一类非线性系统的输出反馈输出追踪控制问题。利用高增益观测器和反传设计方法,在非线性系统满足Lipschitz条件下,对任意给定的常数参考信号,设计了动态输出反馈控制器,使得闭环系统的输出指数渐进追踪参考信号。     

一类非线性系统的状态反馈输出跟踪研究

研究一类非线性系统的状态反馈输出跟踪控制问题。对于给定的光滑有界的参考信号,利用反步方法设计系统的跟踪控制器,使从任意初值出发的系统的输出都渐近于给定的参考信号,同时系统内部状态保持有界。仿真实例验证了研究结论的可行性。     

基于LMI的一类非线性离散动态系统的鲁棒故障诊断

 针对一类非线性不确定离散动态系统 ,提出了一种新型鲁棒故障诊断方法。该方法不但能够对被诊断系统进行故障检测 ,而且同时能够实现故障的分离和辨识。它首先通过构造一个辅助系统 ,将故障的辨识问题转化为min max问题 ,并且通过巧妙设计辅助系统的输出增益矩阵 ,使得辅助系统与被诊断系统的状态差值方程和输出差值方程稳定 ,然后将min max问题转化成LMI问题 ,最后通过求解LMI问题来实现故障诊断。分析了故障诊断方法的鲁棒性、灵敏度和故障的辨识误差。仿真结果验证了该方法的有效性。     

非最小相位导弹自动驾驶仪设计

对于尾控型导弹，过载输出与舵偏转之间为非最小相位特性，这使得反馈线性化和滑模控制等非线性控制算法不能应用于控制器设计。将输出跟踪问题转化为状态跟踪，这样，可以应用滑模控制设计过载控制自动驾驶仪，通过构造合适的滑模输出，可得到稳定的零动态。此外，采用全局二阶滑模控制可削弱抖振现象。仿真结果表明，本设计具有良好的输出跟踪性能和鲁棒性。     

一类含动态扰动的随机非线性系统的FNN控制

针对一类非仿射且带有动态扰动的纯反馈随机非线性不确定系统,在随机Lyapunov稳定性理论框架下,利用自适应Backstepping方法并结合模糊神经网络( FNN),设计出保证闭环系统所有信号概率意义下有界的自适应控制器。在控制器设计中,对系统动态扰动进行参数化处理,并对系统不确定性进行FNN逼近,以四层神经网络为基础构架,引入模糊逻辑对网络进行推理,其输出权值可自适应调整,设计方法有效地减少了可调参数的数量,数值仿真结果也表明设计方法的有效性。     

刚体飞行器大角度机动的反馈非线性化控制

研究了刚体飞行器大角度的姿态控制问题,采用四元数描述刚体姿态,建立了刚体姿态运动的数学模型。基于反馈非线性化技术,通过构造李雅普诺夫函数推导出标量增益的线性控制律和矩阵增益的非线性控制律。两种控制律不需要知道系统参数,对模型误差具有鲁棒性。理论分析和仿真结果表明,所求控制律对闭环系统具有全局渐近稳定性。     

基于未知输入观测器的非线性动态系统故障估计

针对一类受扰非线性动态系统的执行器故障估计问题,提出一种未知输入观测器来实现故障估计。首先,通过坐标变换将原系统转化为合适的形式;其次,采用线性矩阵不等式与Lyapunov泛函分别设计H_∞输出反馈控制器和未知输入观测器,在此基础上实现对系统中执行器故障的渐近估计;最后,通过机械臂系统仿真分析并验证了所提方法的有效性。与已有方法相比,所提方法不要求故障可导,也不要求故障或干扰上界已知,因此易于在工程实际中实现对非线性系统执行器故障的估计。     

一类不确定非线性时滞系统的自适应控制

针对一类上界未知的不确定非线性时滞系统,采用模糊控制的方法,基于松散稳定性条件,讨论了系统的自适应H∞控制问题.首先设计出基于观测器的自适应模糊控制器,然后利用Lya-punov稳定性理论分析了系统的鲁棒稳定性,得到了利用线性矩阵不等式表示的闭环系统稳定的充分条件,观测增益矩阵和反馈增益矩阵可以通过求解线性矩阵不等式得到.最后通过一个实例验证了所给结论的有效性.     

有输入未建模动态的非线性系统自适应逆设计

对于一类存在输人未建模动态的非线性系统,提出了一种基于RBF神经网络的自适应逆补偿器设计方法。首先用两个神经网络设计了补偿器,一个用来估计输入未建模动态,另一个用来作为未建模动态的自适应逆补偿器。该设计放宽了对未建模动态的一些苛刻的要求,如相对度为零,满足小增益条件等。文中仅要求D(u)逆稳和连续光滑。然后应用反演设计技术设计了控制器,并应用Lyapunov稳定性理论推导出神经网络权重向量的调节律,同时证明了闭环系统的渐近稳定性。最后给出的仿真研究证明了该设计方法的有效性。     

基于Laguerre函数的高压力非线性传感器补偿研究

针对高压力传感器线性化输出的结果不准确的现象,研究了具有针对性的Duffing非线性系统。用传感器的输出数据作为补偿器的输入,传感器的输入数据作为补偿器的输出,进行基于Laguerre函数的非线性动态补偿器的设计研究。该方法无需知道传感器的非线性阶数,对于外界干扰有较强的抑制作用,对于时延对象也具有一定的优势。利用该补偿器对传感器进行动态补偿,将补偿结果与阶跃响应输出进行对比,结果表明该非线性模型补偿的有效性。     

New nonlinear control algorithms for multiple robot arms

Multiple coordinated robot arms are modeled by considering the arms as closed kinematic chains and as a force-constrained mechanical system working on the same object simultaneously. In both formulations, a novel dynamic control method is discussed. It is based on feedback linearization and simultaneous output decoupling technique. By applying a nonlinear feedback and a nonlinear coordinate transformation, the complicated model of the multiple robot arms in either formulation is converted into a linear and output decoupled system. The linear system control theory and optimal control theory are used to design robust controllers in the task space. The first formulation has the advantage of automatically handling the coordination and load distribution among the robot arms. In the second formulation, it was found that by choosing a general output equation it became possible simultaneously to superimpose the position and velocity error feedback with the force-torque error feedback in the task space     

Nonlinear observer and output feedback attitude control ofspacecraft

The problem of controlling a spacecraft by measuring only the angular position (roll, pitch, and yaw) is considered. A nonlinear observer is proposed which asymptotically reconstructs all the spacecraft state variables; if the spacecraft actuators are reaction wheels, the angular velocities of the wheels also must be measured. It is shown that if the observer is used in connection with asymptotically stable state feedback controllers, the extended system (spacecraft, controller, and observer) is still asymptotically stable. Simulation results are reported to illustrate the dynamic behavior of the observer     

Nonlinear control and stability analysis of spacecraft attitude recovery

The problem of automated attitude recovery of rigid and flexible spacecraft is investigated using feedback linearization control and a novel approach for generating the control error signal based on quaternion addition. The attitude and flexible dynamics equations for a class of spacecraft is presented. The resulting nonlinear and coupled equations of the system are implemented into a high-fidelity user-friendly simulation environment. The simulator is used for the investigation of attitude recovery of flexible spacecraft using the feedback linearization approach. Since the flexible spacecraft is underactuated, the input-output linearization technique was specifically used to break up the system into two distinct parts, namely 1) an external linearizable system for which a linear controller can be easily implemented, and 2) an internal nonlinear unobservable system for which the associated zero dynamics is shown to be asymptotically stable for two representative cases. The overall closed-loop stability of the flexible spacecraft is analyzed rigorously and shown to be asymptotically stable using Lyapunov's method     

Nonlinear decoupling sliding mode control and attitude control ofspacecraft

Control of a class of uncertain nonlinear systems which can be decoupled by state-variable feedback is considered. A variable-structure-control (VSC) law is derived so that in the closed-loop system the output variables asymptotically track given output trajectories in spite of any uncertainty in the system. On the basis of this result, a control law is derived for the attitude control of an orbiting spacecraft in the presence of uncertainty using reaction jets. The controlled outputs are the three Euler angles which describe the orientation of the spacecraft relative to an orbital frame. Simulation results are presented to show that, in the closed-loop system, precise attitude control is accomplished in spite of the uncertainty in the system     

Robustness of Velocity Feedback Controllers for Flexible Spacecraft

The robustness properties of collocated velocity feedback controllers used for damping enhancement in large, flexible space structures are investigated. It is proved that the closed-loop system using such controllers is asymptotically stable in the large when: 1) unmodeled linear time-invariant dynamics (such as sensors/actuators) are present, provided that the phase angle of such dynamics is between -90° and 90°, 2) time-varying or invariant nonlinearities lying in the first and the third quadrant (i. e., belonging to the (0, ?) sector) are present, or 3) sector-type nonlinearities following first-order stable dynamics are present in the feedback loop.     

大系统分散控制的非线性影响

 在大系统的控制问题中,除了递阶控制外,分散控制是另一种重要的控制方案。局部分散镇定近来受到重视。对各子系统的局部线性反馈,由于能源限制及其他因素,常引出非线性反馈。本文将研究这样的非线性对大系统稳定性的影响。     

Robust control design for aerospace applications

Time-domain control design for stability robustness of linear systems with structured uncertainty is addressed. Upper bounds on the linear perturbation of an asymptotically stable linear system are obtained, making it possible to maintain stability by using the structural information of the uncertainty. A quantitative measure called the stability robustness index is introduced and used to design controllers for robust stability. The proposed state feedback control design algorithm can be used, for a given set of perturbations, to select the range of control effort for which the system is stability-robust. Conversely it can be used, for a given control effort, to determine the size of the tolerable perturbation. The algorithm is illustrated with examples from aircraft control and large-space-structure control problems     

Asymptotically decoupled discontinuous control of systems andnonlinear aircraft maneuver

The question of control of a class of nonlinear systems that can be decoupled by state-variable feedback is considered. Based on variable-structure system theory, a discontinuous control law is derived that accomplishes asymptotic decoupled output trajectory-following in the presence of uncertainty in the system. In the closed-loop system, the trajectories are attracted toward a chosen hypersurface in the state space and then slide along it. During the sliding phase the motion is insensitive to parameter variations. Based on this result, a control law for asymptotically decoupled control of roll angle, angle of attack, and sideslip in rapid, nonlinear maneuvers is derived. Simulation results are presented to show that large, simultaneous lateral and longitudinal maneuvers can be performed in spite of uncertainty in the stability derivatives