Improved backstepping control for large angle maneuvers of spacecraft

For the control of large angle maneuvers of a spacecraft, variable gain backstepping control is proposed. The controller can make the states of the system converge to the commanded position along the input vector field orientation. The controller stabilizes the system with the amplitude of the commanded torques decreased. Considering the uncertainty of the disturbance torques and the estimation error of the inertia matrix, the control design is improved to provide strong self-adaptability and robustness of the system. Simulation is conducted, and the results show that the design has good tracking performance and convergence, consistent with the theoretical analysis.     

模块化反步自适应大机动飞行控制

针对飞机大机动飞行时模型非线性和参数不确定性的特点,提出一种输入状态稳定反步自适应控制的模块化设计方法.基于模块化设计思想,设计一个输入状态稳定的反步控制器,保证在输入有界情况下系统状态的有界特性.基于最小二乘算法设计参数自适应律和滤波器的辨识器模块,保证独立于输入状态稳定控制器之外的参数误差及其导数有界,并利用一种基于免疫克隆原理的改进粒了群算法优化固定参数,改善动态性能.仿真结果表明了所提出算法的有效性.     

Robust hybrid supervisory control for spacecraft close proximity missions

We consider the problem of rendezvous, proximity operations, and docking of an autonomous spacecraft. The problem can be conveniently divided into three phases: (1) rendezvous phase; (2) docking phase; and (3) docked phase. On each phase the task to perform is different, and requires a different control algorithm. Angle and range measurements are available for the entire mission, but constraints and tasks to perform are different depending on the phase. Due to the different constraints, available measurements, and tasks to perform on each phase, we study this problem using a hybrid systems approach, in which the system has different modes of operation for which a suitable controller is to be designed. Following this approach, we characterize the family of individual controllers and the required properties they should induce to the closed-loop system to solve the problem within each phase of operation. Furthermore, we propose a supervisory algorithm that robustly coordinates the individual controllers so as to provide a solution to the problem. In addition, we present specific controller designs that appropriately solve the control problems for individual phases and validate them numerically.     

Inverse optimal adaptive backstepping control for spacecraft rendezvous on elliptical orbits

The spacecraft rendezvous problem with the target spacecraft on an arbitrary elliptical orbit is addressed using adaptive backstepping control. The relative motion of two spacecrafts is established based on the Lawden equations. In order to take the parametric uncertainties into consideration, an adaptive backstepping controller is proposed in this paper, which is optimal with respect to a family of cost functionals. With Lyapunov analysis, the proposed control laws can guarantee the globally asymptotic stability of the whole system and estimate the upper bounds of uncertain model parameters at the same time. Furthermore, a group of modified control laws is obtained, which stabilises the closed-loop system under input constraints. Finally, simulation results are presented to validate the effectiveness of the proposed approach.     

反步自适应滑模变结构的小卫星姿态鲁棒容错控制

针对小卫星在轨运行中存在输入饱和、干扰力矩与执行器故障的姿态跟踪控制问题,提出了一种反步自适应滑模变结构鲁棒容错控制方法。该方法将反步控制和滑模控制相结合,利用自适应算法估计执行器有效因子最小值和干扰上界,避免了对故障的检测与隔离,实现了输入饱和、干扰和故障对系统稳定性影响的抑制。基于Lyapunov方法从理论上证明了闭环系统的稳定性;将该方法用于小卫星的状态跟踪控制,仿真结果表明该控制器能有效处理姿态控制时输入饱和受限的约束,对部分失效和偏差型故障具有较强的容错能力,并具有一定鲁棒性。     

Robust spacecraft attitude control using adaptive fuzzy logic

In this paper, we propose to use adaptive fuzzy logic to tackle the spacecraft attitude control problem. The advantage is that no linearity in the system parameter assumption is needed. An on-line tuning scheme with no off-line training phase is used to update the weights in the fuzzy logic controller. Attitude tracking errors are guaranteed to be bounded.     

Robust adaptive backstepping INTSM control for robotic manipulators based on ELM

Neural Computing and Applications - This paper investigates a novel control algorithm to deal with trajectory tracking control problems of robotic manipulators based on adaptive backstepping...     

Robust and adaptive backstepping control for nonlinear systems using RBF neural networks

In this paper, two different backstepping neural network (NN) control approaches are presented for a class of affine nonlinear systems in the strict-feedback form with unknown nonlinearities. By a special design scheme, the controller singularity problem is avoided perfectly in both approaches. Furthermore, the closed loop signals are guaranteed to be semiglobally uniformly ultimately bounded and the outputs of the system are proved to converge to a small neighborhood of the desired trajectory. The control performances of the closed-loop systems can be shaped as desired by suitably choosing the design parameters. Simulation results obtained demonstrate the effectiveness of the approaches proposed. The differences observed between the inputs of the two controllers are analyzed briefly.     

航天器输入受限的鲁棒自适应姿态跟踪控制

研究含模型不确定性的刚性航天器输入受限时的姿态跟踪控制设计问题.针对修改的罗德里格斯姿态参数描述的航天器姿态跟踪动力学模型,基于一种有界非线性连续函数和修改的罗德里格斯姿态参数自身有界性,设计鲁棒自适应状态反馈受限控制器,不确定参数的自适应更新律可保证在线估计参数的有界性.通过所提出的输入受限控制设计方法给出输入受限幅...     

一种基于反推技术的鲁棒自适应控制器

对于更一般的一类系统,给出了一种基于反推技术的鲁棒自适应控制器的设计方法.通过重新定义动态规范化信号和重新证明相关的性质,严格地分析了闭环系统的稳定性和跟踪性能;同时指出了相关文献中的错误.     

Robust adaptive fuzzy backstepping output feedback tracking control for nonlinear system with dynamic uncertainties

In this paper, an adaptive fuzzy output feedback control approach based on backstepping design is proposed for a class of SISO strict feedback nonlinear systems with unmeasured states, nonlinear uncertainties, unmodeled dynamics, and dynamical disturbances. Fuzzy logic systems are employed to approximate the nonlinear uncertainties, and an adaptive fuzzy state observer is designed for the states estimation. By combining backstepping technique with the fuzzy adaptive control approach, a stable adaptive fuzzy...     

Robust adaptive backstepping control for a class of uncertain nonlinear systems based on disturbance observers

In this paper, a novel robust adaptive control scheme for a class of uncertain nonlinear systems is proposed using disturbance observer and backstepping method.Firstly, a disturbance observer is developed using radial basis function(RBF) neural network.The parameter updated law of the RBF neural network is given for monitoring subsystem disturbance well.The robust adaptive control scheme is then presented with backstepping method based on the designed disturbance observer.Semiglobal uniform ultimate bounded...     

具有未知高频增益的鲁棒自适应反推控制器

在高频增益未知的情况下,对一类带有未建模动态和输入、输出干扰的系统,给出了一种基于反推技术的鲁棒自适应控制器的设计方法.通过修正传统鲁棒自适应控制中的动态规范化信号和切换-σ算法,证明了闭环系统的所有信号都有界,同时可以取得较好的跟踪性能.仿真结果表明了该方法的有效性.     

基于反步法的移动机器人鲁棒跟踪控制

以四轮移动机器人为研究对象,建立了机器人完整的数学模型,包括运动学模型、动力学模型以及驱动电机模型。在机器人数学模型的基础上,采用反步法的思想设计具有全局收敛特性的鲁棒轨迹跟踪控制器,设计中考虑了驱动电机模型使控制器更符合实际控制要求,并将其分解为运动学控制器、动力学控制器以及电机控制器三部分,降低了控制器设计的难度。构造了系统的李雅普诺夫函数,证明了该类型移动机器人在所得控制器作用下,能实现对给定轨迹的全局渐近追踪。仿真实验结果表明基于反步法的控制器是有效的。     

Robust adaptive attitude control for flexible spacecraft in the presence of SGCMG friction nonlinearity

This paper investigates attitude maneuver control issues of a flexible spacecraft with pyramid‐type single gimbaled control moment gyroscopes (SGCMGs) as the actuator. The LuGre friction model is adopted to precisely describe the nonlinearity of the SGCMG gimbal friction. Aiming at restraining the adverse effects of the friction existed in SGCMG on the attitude control performance, a robust adaptive attitude controller is proposed, and projection‐based adaptive laws are presented to estimate the friction parametric uncertainties and the bound of friction nonlinearity. By treating the flexible mode coupling effect and external disturbances as lump disturbances, the inertia uncertainties and the bound of the lump disturbances are also estimated and compensated simultaneously to reduce their adverse effect on the system. With the Lyapunov technique, the states of flexible spacecraft control system are proved to be uniformly ultimately bounded. Numerical simulations demonstrate the effectiveness of the proposed scheme.     

Discrete-time robust backstepping adaptive control for nonlineartime-varying systems

This paper studies the problem of adaptive control for a class of nonlinear time-varying discrete-time systems with nonparametric uncertainties. The plant parameters considered here are not necessarily slowly time-varying in a uniform way. They are allowed to have a finite number of big jumps. By using the backstepping procedures with parameter projection update laws, a robust adaptive controller can be designed to achieve adaptive tracking of a reference signal for this class of systems. It is shown that the proposed controller can guarantee the global boundedness of the states of the whole adaptive system in the presence of parametric and nonparametric uncertainties. It can also ensure that the tracking error falls within a compact set whose size is proportional to the size of the uncertainties and disturbances. In the ideal case when there is no nonparametric uncertainties and time-varying parameters, perfect tracking can be achieved     

单元机组的非线性自适应反演综合控制

针对同时考虑参数不确定性和外界干扰的单元机组整体模型(锅炉–汽轮机–发电机模型),提出了一种基于自适应反演法和协调无源性理论的非线性综合控制策略.首先,针对预处理后的被控对象各子系统,采用反演法得到汽门控制输入,然后以高压侧电压为控制目标对励磁部分进行优化设计,最后逐步递推设计燃料控制器.在控制律设计过程中,为克服模型参数的不确定性,避免可能出现的参数漂移,通过引入充分光滑投影算子设计了参数自适应律.同时,借助在控制律中添加阻尼项,以有效抑制外界干扰对控制品质的影响.仿真分析和变负荷实验的结果表明,本文所设计的综合控制策略同时优化了单元机组的有功和无功响应特性,使其具有良好的负荷跟踪性能、抗干扰能力和对模型不确定参数的鲁棒性.     

Robust adaptive fuzzy tracking control for a class of strict-feedback nonlinear systems based on backstepping technique

In this paper, the robust adaptive fuzzy tracking control problem is discussed for a class of perturbed strict-feedback nonlinear systems. The fuzzy logic systems in Mamdani type are used to approximate unknown nonlinear functions. A design scheme of the robust adaptive fuzzy controller is proposed by use of the backstepping technique. The proposed controller guarantees semi-global uniform ultimate boundedness of all the signals in the derived closed-loop system and achieves the good tracking performance. The possible controller singularity problem which may occur in some existing adaptive control schemes with feedback linearization techniques can be avoided. In addition, the number of the on-line adaptive parameters is not more than the order of the designed system. Finally, two simulation examples are used to demonstrate the effectiveness of the proposed control scheme.     

Robust adaptive backstepping control for an uncertain nonlinear system with input constraint based on Lyapunov redesign

International Journal of Control, Automation and Systems - This paper presents the control problem for a class of n-order semi-strict nonlinear system subjects to unknown parameters, uncertainty,...     

降阶的鲁棒分散自适应反推控制

针对一类含有未建模动态的关联系统,考虑了降阶的鲁棒分散自适应反推控制问题.首先通过一系列坐标变换,将原系统重新参数化,然后引入降阶观测器,得到一个误差系统.基于该系统,给出了一种降阶自适应反推控制器的设计方案.证明了自适应控制系统的所有信号全局一致有界,调节误差渐近收敛到零.控制器阶次的降低使得本文的设计方案更具应用价值.