基于反步法的高超音速飞机纵向逆飞行控制

针对高超音速飞机纵向运动的数学模型具有严重非线性、不稳定、多变量耦合以及不确定的气动参数等特点,采用非线性动态逆控制与反步法相结合的方法为其设计飞行控制系统．该系统以非线性动态逆控制作为控制内环,通过将非线性的多输入多输出系统进行精确线性化,解除了多变量之间的强耦合关系;并以反步法作为控制外环．保证系统的全局稳定以及抑制不确定参数的扰动．仿真研究表明．所提出的控制方法可以确保高超音速飞机的纵向稳定性．改善其飞行品质．     

欠驱动机械系统的三类级联规范型

基于欠驱动机械系统的动力学,分析了其驱动模式;为了便于欠驱动机械系统的控制设计,针对具有动能对称性的欠驱动机械系统,提出了一种闭环全局坐标变换方案.该方案将欠驱动机械系统的动力学转换成具有结构特征的级联规范型（即严格反馈、严格前馈和非三角级联非线性系统）,并分别给出了Pendubot、倒立摆系统和TORA （Translational Oscillator with Rotational Actuator） 系统的级联规范型.     

互联非线性系统反馈主导控制设计方法及汽门开度控制应用

分析了电力系统非线性的数学性质,指出电力系统非线性是一种有界非线性.在此基础上,将反馈主导方法(feedback domination method,FDM)引入多机电力系统非线性控制.该方法与反馈线性化方法不同;反馈线性化方法是通过反馈将原非线性系统转化为线性系统,反馈主导方法则是通过反馈将原非线性系统转换为特定形式的非线性系统,该特定形式的非线性系统的动态由反馈引入的非线性部分主导.以多机系统非线性汽门控制问题为例,设计了反馈主导非线性汽门控制器,该控制器仅包含本地量测量,易于实现.数值仿真表明,多机系统反馈主导非线性汽门控制器可显著提高电力系统暂态稳定性.     

基于快速起摆的Furuta摆切换控制系统

针对由一个驱动臂和一个未驱动摆杆组成的欠驱动Furuta摆系统,设计了实现其稳定的切换控制系统.控制任务是将未驱动摆杆稳定在上方不稳定平衡点的同时,将驱动臂控制到零点,分为两部分:首先基于部分反馈线性化技术设计一个饱和的状态反馈控制器,将摆杆快速控制到上方不稳定平衡点附近;然后切换到一个线性的全状态反馈控制器,实现系统的稳定控制.仿真实验验证了控制器的有效性.     

TORA的动力学建模与Backstepping控制

针对旋转小球在垂直平面内运动的欠驱动的具有旋转激励的平移振荡器（TORA）,基于拉格朗日方程,建立其动力学模型．结合部分反馈线性化,采用一个闭环坐标变换将系统动力学转换成严格反馈的级联非线性系统．该级联系统由非线性子系统和两个积分器组成．在设计了非线性子系统有界状态反馈算法的基础上．应用积分Backstepping给出了实现系统全局稳定的状态反馈控制器．仿真结果验证了该控制器的有效性．     

基于动态伺服的欠驱动双摆机器人仿生悬摆控制

引入动态伺服理论研究了欠驱动双摆机器人的仿生悬摆运动控制．针对欠驱动双摆机器人的仿生悬摆 运动控制,引入动态伺服理论解决摆臂末端对目标轨迹的跟踪问题;利用灵长类动物悬摆运动的类单摆特性,基于 李亚普诺夫稳定性理论设计了反馈控制律,并分析了闭环系统的奇点及其对于系统收敛性的影响．欠驱动双摆机器 人实物系统实验结果表明,文中所设计的控制策略是有效的．     

无机械辅助结构自行车机器人控制仿真及实现

为实现自行车机器人的平稳直线行驶,论证了无机械辅助结构、仅靠调整车把维持自平衡的后驱自行车机器人动力学建模、姿态控制、系统仿真及实物样机实验.针对具有典型对称性欠驱动非完整约束的自行车机器人系统难于实现平衡控制问题,首先基于拉格朗日方法分析系统力学机理,建立简化动力学模型.然后基于部分反馈线性化原理,对车体横滚角与转把力矩的欠驱动子系统进行线性化处理及模糊自适应控制.仿真及实验结果表明,有效地实现了自行车机器人直线运动自平衡控制,为进一步开展自行车机器人以及其他欠驱动系统平衡运动控制奠定理论基础.     

基于神经滑模的柔性连杆机械手末端位置控制

：为了提高柔性机械手末端位置控制的鲁棒性和精度,提出了一种基于神经滑模的控制策略．首先采 用输入/输出线性化方法将动力学模型部分线性化,使之分成输入/输出子系统与内动态子系统．输入/输出子系统 采用神经滑模控制,内动态子系统采用状态反馈控制器镇定．随后,对控制系统内动态稳定性进行了分析,并在 两自由度柔性连杆机械手控制的仿真试验中得到了满意的结果．试验结果表明,在存在模型不确定性时,该控制 策略提高了控制系统的鲁棒性和控制精度．     

一类不确定延迟系统的鲁棒自适应控制

针对一类不确定的延迟系统，提出一种鲁棒的模型参考自适应控制设计方案．它不同于以往将所有延迟部分转化为系统的未建模动态的方案，该方案只是把延迟偏离标称值的扰动转化为系统的未建模动态，而将能够获得的延迟标称值信息加入系统的建模部分，从而使系统的建模更为精确．同时，研究了这种其建模部分含有延迟的系统的稳定性和鲁棒性．仿真结果验证了该方案的有效性．     

一类非线性系统的自适应滑模模糊控制

针对一类具有多个子系统的欠驱动非线性系统提出了一种自适应滑模模糊控制方法. 首先通过分析模糊控制与边界层滑模控制的相似性,提出了滑模模糊控制方法;然后根据滑模 面斜率和各子系统控制对于系统动态性能的影响,分别采用模糊推理根据系统状态自动地实时 调节滑模面斜率和各子系统在系统控制中的作用;最后通过简单的滑模模糊控制器实现对具有 多个子系统的欠驱动非线性系统的控制.将该方法应用于吊车的运输控制中,仿真结果证明了 其有效性和鲁棒性.     

Control algorithms for stabilizing underactuated robots

Three control algorithms are developed to stabilize an underactuated two-link robot at its unstable inverted position. The well-known linear quadratic regulator is described first. Next, a stabilization control law using partial feedback linearization is developed where the reference trajectories for the linearized degrees of freedom are designed by analyzing the zero dynamics. The linear quadratic regulator and partial feedback linearization control algorithms both assume an exact dynamic model. To deal with modeling inaccuracies, a robust controller using sliding mode concepts is supplied. Numerical simulations are presented. © 1998 John Wiley & Sons, Inc.     

Dynamic Balance Control Based on an Adaptive Gain-scheduled Backstepping Scheme for Power-line Inspection Robots

This paper presents an adaptive gain-scheduled backstepping control (AGSBC) scheme for the balance control of an underactuated mechanical power-line inspection (PLI) robotic system with two degrees of freedom and a single control input. First, a nonlinear dynamic model of the balance adjustment process of the PLI robot is constructed, and then the model is linearized at a nominal equilibrium point to overcome the computational infeasibility of the conventional backstepping technique. Second, to solve generalized stabilization control issue for underactuated systems with multiple equilibrium points, an equilibrium manifold linearized model is developed using a scheduling variable, and then a gain-scheduled backstepping control (GSBC) scheme for expanding the operational area of the controlled system is constructed. Finally, an adaptive mechanism is proposed to counteract the impact of external disturbances. The robust stability of the closed-loop system is ensured by Lyapunov theorem. Simulation results demonstrate the effectiveness and high performance of the proposed scheme compared with other control schemes.      

Robust fuzzy 3D path following for autonomous underwater vehicle subject to uncertainties

This paper addresses a three-dimensional (3D) path following control problem for underactuated autonomous underwater vehicle (AUV) subject to both internal and external uncertainties. A two-layered framework synthesizing the 3D guidance law and heuristic fuzzy control is proposed to achieve robust adaptive following along a predefined path. In the first layer, a 3D guidance controller for underactuated AUV is presented to guarantee the stability of path following in the kinematics stage. In the second layer, a heuristic adaptive fuzzy algorithm based on the guidance command and feedback linearization Proportional-Integral-Derivative (PID) controller is developed in the dynamics stage to account for the nonlinear dynamics and system uncertainties, including inaccuracy modelling parameters and time-varying environmental disturbances. Furthermore, the sensitivity analysis of the heuristic fuzzy controller is presented. Against most existing methods for 3D path following, the proposed robust fuzzy control scheme reduces the design and implementation costs of complicated dynamics controller, and relaxes the knowledge of the accuracy dynamics modelling and environmental disturbances. Finally, numerical simulation results validate the effectiveness of the proposed control framework and illustrate the outperformance of the proposed controller as well.     

Control‐oriented modeling and deployment of tensegrity–membrane systems

This study addresses control‐oriented modeling and control design of tensegrity–membrane systems. Lagrange's method is used to develop a control‐oriented model for a generic system. The equations of motion are expressed as a set of differential‐algebraic equations (DAEs). For control design, the DAEs are converted into second‐order ordinary differential equations (ODEs) based on coordinate partitioning and coordinate mapping. Because the number of inputs is less than the number of state variables, the system belongs to the class of underactuated nonlinear systems. A nonlinear adaptive controller based on the collocated partial feedback linearization (PFL) technique is designed for system deployment. The stability of the closed‐loop system for the actuated coordinates is studied using the Lyapunov stability theory. Because of system complexity, numerical tests are used to conduct stability analysis for the dynamics of the underactuated coordinates, which represents the system's zero dynamics. For the tensegrity–membrane systems studied in this work, analytical proof of zero dynamics stability remains an open theoretical problem. An H_∞ controller is implemented for rapid stabilization of the system at the final deployed configuration. Simulations are conducted to test the performance of the two controllers. The simulation results are presented and discussed in detail. Copyright © 2016 John Wiley & Sons, Ltd.     

Dynamics and control of a class of underactuated mechanical systems

This paper presents a theoretical framework for the dynamics and control of underactuated mechanical systems, defined as systems with fewer inputs than degrees of freedom. Control system formulation of underactuated mechanical systems is addressed and a class of underactuated systems characterized by nonintegrable dynamics relations is identified. Controllability and stabilizability results are derived for this class of underactuated systems. Examples are included to illustrate the results; these examples are of underactuated mechanical systems that are not linearly controllable or smoothly stabilizable     

Stabilization and Tracking Control of X‐Z Inverted Pendulum Using Flatness Based Active Disturbance Rejection Control

A flatness based robust active disturbance rejection control technique scheme with tracking differentiator is proposed for the problem of stabilization and tracking control of the X‐Z inverted pendulum known as a special underactuated, non‐feedback linearizable mechanical system. The differential parameterization on the basis of linearizing the system around an arbitrary equilibrium decouples the underactuated system into two lower order systems, resulting in two lower‐order extended state observers. Using a tracking differentiator to arrange the transient process utilizes the problem of stabilization and tracking control and gives a relatively small initial estimation error, which enlarges the range of the controller parameters. The convincing analysis of the proposed modified linear extended state observer is presented to show its high effectiveness on estimating the states and the extended states known as the total disturbances consisting of the unknown external disturbances and the nonlinearities neglected by the linearization. Simulation results on the stabilization and tracking control of the X‐Z inverted pendulum, including a comparative simulation with an all‐state‐feedback sliding mode controller are presented to show the advantages of the combination of flatness and active disturbance rejection control techniques.     

Control of the Underactuated Inertia Wheel Inverted Pendulum for Stable Limit Cycle Generation

This paper deals with a control approach dedicated to stable limit cycle generation for underactuated mechanical systems. The proposed approach is based on partial nonlinear feedback linearization and dynamic control for optimal periodic reference trajectories tracking. The computation of the reference trajectories is performed in order to optimize the behavior of the whole dynamics of the system and especially its zero dynamics at the end of each cycle. Simulation results as well as experiments show the performance and the efficiency of the proposed control scheme.     

电力系统非线性切换励磁控制

针对反馈线性化方法难以同时提高电力系统的功角稳定性和电压调节特性的问题,提出了基于分层设计思想的非线性切换励磁控制方法.首先采用逆系统方法实现了系统的反馈线性化,然后根据Lyapunov函数方法对包含零动态的部分线性化系统设计了切换励磁控制器.在电力系统专用仿真平台上的仿真结果证明了所设计的切换控制器能够有效改善功角稳...     

一类欠驱动系统的控制方法综述

近年来欠驱动系统已经成为机器人与自动控制领域的研究热点之一,本文对一类欠驱动系统(欠驱动连杆系统)的控制方法的研究状况进行了综述.首先给出了欠驱动系统的动力学模型,并介绍了2种基本控制模式;随后,对其主要的控制方法,包括最优控制方法、运动规划法、部分反馈线性化方法、能量(无源)方法、变量降维法、分级控制设计方法及智能控制方法,展开了分析与讨论;在此基础之上,对欠驱动连杆控制系统设计存在的抗干扰性、实用性及快速性等主要问题进行了简要分析,并就今后的研究方向进行了展望,如鲁棒策略、饱和控制与有限时间控制等.