基于组合非线性反馈机器人控制吸引域评估

在机器人的关节空间轨迹控制跟踪控制中,全局渐近的控制方法在存在驱动器饱和与摩擦扰动时,很难得到理想的控制效果.针对组合非线性反馈与计算力矩相结合的控制方法,研究了机器人驱动器存在输入限制时的吸引域评估方法.用Ricatti方程迭代法设计线性增益,以获得尽量大的吸引域,仿真结果证明了所提方法的有效性.     

Parameterized design of nonlinear feedback controllers for servo positioning systems

1 .INTRODUCTIONServo positioning systems are universal in industrialenvironment , where fast and precise positioning iscritical for higher productivity and better quality .Linear control technologies have been playing anactive role for this purpose , while nonlinear con-trol is relatively naive and is now meticulouslyfinding applications in the real world. However ,asmart combination of linear and nonlinear controltechniques , which takes full advantage of bothtechniques ,can lead to a mor…     

Improved hybrid position/force controller design of a flexible robot manipulator using a sliding observer

An improved hybrid position/force controller design of a flexible robot manipulator is presented using a sliding observer. The friction between the end effector and the environment is considered and compensated. For systematic reasons the controller is designed taking into consideration the rigid link subsystems and the flexible joints. The proposed control system satisfies the stability of the two subsystems and copes with the uncertainty of robot dynamics. A sliding observer is designed to estimate the time derivative of the torque applied as input to the rigid part of the robot. For the stability of the observer, it is assumed that the uncertainty of the observed system is bounded. A MRAC algorithm is used for the estimation of the friction forces at the contact point between the end effector and the environment. Finally simulation and experimental results are given, to demonstrate the effectiveness of the proposed controller.     

高阶随机非线性系统状态反馈镇定

针对一类高阶下三角随机非线性系统,提出一种新的镇定方案,采用增加一个幂积分的工具构建了一个全局稳定的光滑状态反馈控制律。通过反馈占有设计方法和Young不等式处理随机系统的非线性项,取消了对随机非线性系统反馈线性化和控制输入呈线性的要求,基于Lyapunov方法,证明了闭环系统依概率全局渐近稳定。最后,仿真实例说明了算法的可行性。     

反馈可线性化系统全局跟踪控制器的设计

研究反馈可线性化的非线性系统全局跟踪参考信号的问题,将全局跟踪问题转化为误差系统的全局镇定问题。由Riccati方程获得了反馈可线性化系统的控制Lyapunov函数,证明了所得到的控制Lyapunov函数正是误差系统的控制Lyapunov函数。应用Sontag的通用公式,设计了全局跟踪控制器,并应用于单关节机器手跟踪参考信号的控制,仿真说明了所提出方法的有效性。     

不确定非线性系统的鲁棒自适应跟踪简化算法

传统的Backstepping自适应控制方法需要对虚拟控制律进行求导,从而导致“计算复杂性膨胀”。动态平面控制技术能够克服这一缺陷。将这一技术扩展到一类具有参数严格反馈形式的不确定非线性系统输出跟踪,这类系统同时包含线性参数和未知非线性函数两种不确定性。所设计的控制算法比现有算法大大简化,解决了“计算复杂性膨胀”问题;运用Lyapunov理论证明了闭环系统一致最终有界,仿真结果表明了算法的有效性。     

非线性时滞系统自适应输出反馈跟踪控制

针对一类参数化非线性时滞输出反馈系统,提出了一种自适应输出跟踪控制器的设计方案。引入时滞滤波器估计未知系统状态,采用backstepping技术设计控制律和参数自适应律,运用占优方法处理非线性时滞项,从而放宽了对非线性时滞函数的要求,实现了对给定目标轨线的全局渐近跟踪,同时保证闭环系统所有信号一致有界。基于Lyapunov-Krasoviskii泛函方法证明了整个闭环系统的稳定性。实例仿真说明了该方案的可行性。     

State feedback stabilization for a class of nonlinear time-delay systems via dynamic linear controllers

The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay. First, using the dynamic change of coordinates, the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions. With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates, the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller. The growth condition in perturbations are more general than that in the existing results. The correctness of the theoretical results are illustrated with an academic simulation example.     

Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

The H∞ output feedback control problem for uncertain discrete-time switched systems is reasearched. A new characterization of stability and H∞ performance for the switched system under arbitrary switching is obtained by using switched Lyapunov function.Then,based on the characterization,a linear matrix inequality (LMI)approach is developed to design a switched output feedback controller which guarantees the stability and H∞ performance of the closed-loop system.A numerical example is presented to demonstrate the application of the proposed method.     

基于非线性跟踪的混沌反控制

针对连续仿射非线性系统，提出一种基于非线性跟踪的混沌反控制统一方法。设计了非线性跟踪控制规律，使非线性非混沌系统跟踪混沌输入信号，从而使非混沌系统产生与混沌输入信号拓扑共轭的混沌现象。仿真结果表明，该方法能够在线性可控和相对阶大于3的仿射非线性系统中产生混沌现象。     

空空导弹控制系统鲁棒动态逆设计

将导弹动力学分离为快变状态动力学子系统和慢变状态动力学子系统,分别进行非线性动态逆控制设计。应用基于李雅普诺夫稳定性的鲁棒控制方法,设计出期望的慢变动力学和快变动力学,以保证动态逆控制系统对气动系数摄动的鲁棒稳定性。给出了通过构造动态反插值表,由力矩系数指令反解舵偏角指令的反插值方法。动态逆方法所需要的速度指令、滚动角指令及其一、二阶导数通过滤波器得到。对过载回路的稳定性问题和跟踪误差进行了定性分析,给出了过载回路的无静差设计方案,作为对动态逆的补充设计。给出了导弹控制系统六自由度数学仿真结果。     

Composite nonlinear feedback control for output regulation problem of linear discrete-time systems with input saturation

Transient performance for output regulation problems of linear discrete-time systems with input saturation is addressed by using the composite nonlinear feedback（CNF） control technique. The regulator is designed to be an additive combination of a linear regulator part and a nonlinear feedback part. The linear regulator part solves the regulation problem independently which produces a quick output response but large oscillations. The nonlinear feedback part with well-tuned parameters is introduced to improve the transient performance by smoothing the oscillatory convergence. It is shown that the introduction of the nonlinear feedback part does not change the solvability conditions of the linear discrete-time output regulation problem. The effectiveness of transient improvement is illustrated by a numeric example.     

移动机器人的快速终端滑模轨迹跟踪控制

针对基于动力学模型描述的非完整移动机器人轨迹跟踪问题,给出了一种快速终端滑模控制器设计方法,该方法结合反演(backstepping)设计和快速终端滑模控制的思想,实现了非完整移动机器人全局快速轨迹跟踪控制,并且能够在有限时间内完全跟踪上期望轨迹。该方法将系统分解为低阶子系统来处理,利用中间虚拟控制量简化了控制器的设计,具有直观的稳定性分析,设计方法简单。仿真结果验证了该控制器的正确性和有效性。     

Impulsive controller design for nonlinear networked control systems with time delay and packet dropouts

The globally exponential stability of nonlinear impulsive networked control systems(NINCS) with time delay and packet dropouts is investigated.By applying Lyapunov function theory,sufficient conditions on the global exponential stability are derived by introducing a comparison system and estimating the corresponding Cauchy matrix.An impulsive controller is explicitly designed to achieve exponential stability and ensure state converge with a given decay rate for the system.The Lorenz oscillator system is presented as a numerical example to illustrate the theoretical results and effectiveness of the proposed controller design procedure.     

基于鲁棒控制Lyapunov函数的非线性自适应跟踪

研究了一类带有未知参数以及扰动的多输入非线性系统的自适应跟踪问题，利用控制Lyapunov方法设计出一种自适应控制器。该控制器对系统的参数和状态的不确定性具有鲁棒性，并且能保证系统闭环全局稳定。仿真结果表明，该控制方案具有良好的跟踪性能、鲁棒性及参数辨识能力。     

统一混沌系统非线性控制器的设计与分析

提出了一类统一混沌系统的非线性控制器的设计新方法。应用反馈精确线性化方法给出了统一混沌系统的标准型。然后利用线性控制方法对变换后的等价系统中的线性子系统进行了控制器设计,由此设计出原混沌系统的非线性控制器,并证明其具有指数稳定性。仿真结果表明利用反馈线性化方法设计的非线性控制器的有效性。     

Adaptive stabilization for cascade nonlinear systems

An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov function (CLF) techniques. We show that unknown bounded disturbance can be estimated by update laws, which requires less information on unknown disturbance, as a part of stabilizing control. The design method achieves the desired property: global robust stability. Our contribution is illustrated with the example of a disturbed pendulum.     

变型蔡氏电路混沌同步的非线性反馈控制

混沌同步是实施混沌保密通讯的基础,非线性反馈是实现混沌同步的重要方法。蔡氏混沌电路及变型蔡氏混沌电路是应用广泛的混沌模型之一。对变型蔡氏电路混沌同步设计了非线性反馈同步控制器;根据Hurwitz稳定性判据得到反馈控制增益的取值范围。基于该方法,构建了实现混沌系统同步控制的实验电路,系统仿真和电路实验结果表明采用非线性反馈控制可以保证实现变型蔡氏电路混沌系统一致指数同步化。     

基于分支定界法的运动控制相机轨迹跟踪

提出一种与视频图像纹理信息无关,以运动控制机器人手眼标定算法为核心的相机轨迹跟踪方法。针对无特定参照物的手眼标定算法精度较低的问题,该方法提出一种运用无穷范数在给定旋转分量时迭代求局部优化解的算法。并进一步基于旋转空间分支定界法,提出新的标定方程定界约束条件及划分策略,用于寻找全局最优解。实验结果表明,提出的方法有效提高了无参照物场景的手眼标定精度,并应用于虚拟现实领域。     

Robust decentralized adaptive output feedback fuzzy controller design and application to AHS

A novel decentralized indirect adaptive output feedback fuzzy controller is developed for a class of large-scale uncertain nonlinear systems using error filtering. By the properly filtering of the observation error dynamics, the strictly positive-real condition is guaranteed to hold such that the proposed output feedback and adaptation mechanisms are practicable in practice owing to the fact that its implementation does not require the observation error vector itself any more, which corrects the impracticable schemes in the previous literature involved. The presented control algorithm can ensure that all the signals of the closed-loop large-scale system keep uniformly ultimately bounded and that the tracking error converges to zero asymptotically. The decentralized output feedback fuzzy controller can be applied to address the longitudinal control problem of a string of vehicles within an automated highway system (AHS) and the effectiveness of the design procedure is supported by simulation results.