Nonlinear Adaptive Robust Force Control of Hydraulic Load Simulator

This paper deals with the high performance force control of hydraulic load simulator. Many previous works for hydraulic force control are based on their linearization equations, but hydraulic inherent nonlinear properties and uncertainties make the conventional feedback proportional-integral-derivative control not yield to high-performance requirements. In this paper, a nonlinear system model is derived and linear parameterization is made for adaptive control. Then a discontinuous projection-based nonlinear adaptive robust force controller is developed for hydraulic load simulator. The proposed controller constructs an asymptotically stable adaptive controller and adaptation laws, which can compensate for the system nonlinearities and uncertain parameters. Meanwhile a well-designed robust controller is also developed to cope with the hydraulic system uncertain nonlinearities. The controller achieves a guaranteed transient performance and final tracking accuracy in the presence of both parametric uncertainties and uncertain nonlinearities; in the absence of uncertain nonlinearities, the scheme also achieves asymptotic tracking performance. Simulation and experiment comparative results are obtained to verify the high-performance nature of the proposed control strategy and the tracking accuracy is greatly improved.     

高速开关阀控电液位置伺服系统自适应鲁棒控制

为研究高精度的液压缸位置跟踪控制问题，设计了高速开关阀和换向阀组合控制液压缸的结构方案，并通过实验分析了高速开关阀的静态流量特性。建立了液压缸的连续可微摩擦模型，利用粒子群优化算法对其参数进行辨识。建立了系统的非线性数学模型，基于非连续参数映射和反步法设计了直接自适应鲁棒控制器，通过参数在线自适应调节来更新估计值和鲁棒反馈项支配参数不确定性，实验结果表明:在跟踪幅值为5mm，频率为0.4Hz的正弦信号时，最后一个周期的最大跟踪误差、平均跟踪误差及其标准差分别为0.638、0.25mm和0.405mm，与传统PID控制器相比，控制精度显著提升，旨在为实现高精度的数字阀控位置伺服技术提供有价值的参考。      

Fuzzy robust nonlinear control approach for electro-hydraulic flight motion simulator

A fuzzy robust nonlinear controller for hydraulic rotary actuators in flight motion simulators is proposed. Compared with other three-order models of hydraulic rotary actuators, the proposed controller based on first-order nonlinear model is more easily applied in practice, whose control law is relatively simple. It not only does not need high-order derivative of desired command,but also does not require the feedback signals of velocity, acceleration and jerk of hydraulic rotary actuators. Another advantage is that it does not rely on any information of friction, inertia force and external disturbing force/torque, which are always difficult to resolve in flight motion simulators. Due to the special composite vane seals of rectangular cross-section and goalpost shape used in hydraulic rotary actuators, the leakage model is more complicated than that of traditional linear hydraulic cylinders. Adaptive multi-input single-output(MISO) fuzzy compensators are introduced to estimate nonlinear uncertain functions about leakage and bulk modulus. Meanwhile, the decomposition of the uncertainties is used to reduce the total number of fuzzy rules. Different from other adaptive fuzzy compensators, a discontinuous projection mapping is employed to guarantee the estimation process to be bounded. Furthermore, with a sufficient number of fuzzy rules, the controller theoretically can guarantee asymptotic tracking performance in the presence of the above uncertainties, which is very important for high-accuracy tracking control of flight motion simulators.Comparative experimental results demonstrate the effectiveness of the proposed algorithm, which can guarantee transient performance and better final accurate tracking in the presence of uncertain nonlinearities and parametric uncertainties.     

高精度液压仿真转台鲁棒控制

 针对液压仿真转台具有时变不确定性、复杂外干扰等特点和高精度控制性能要求，提出了一种鲁棒复合控制结构，该结构由鲁棒内回路补偿器、外回路反馈控制器和输入信号前馈补偿器三部分组成。其中，鲁棒内回路补偿器用来抑制外干扰和时变不确定性的影响，外回路反馈控制器的作用是保证闭环系统的整体性能，输入信号前馈补偿器实现对系统动态时滞的补偿，以保证对参考信号的精确跟踪。以某型液压仿真转台内环为例，首先根据所提出控制策略的基本思想，给出了控制系统的具体设计过程，然后，进行了阶跃响应、低速跟踪和正弦响应试验。试验结果表明，所提出的鲁棒控制策略是有效的和可行的。     

Robust adaptive fault-tolerant control of a tandem coaxial ducted fan aircraft with actuator saturation

This paper is concerned with the robust adaptive fault-tolerant control of a tandem coaxial ducted fan aircraft under system uncertainty, mismatched disturbance, and actuator saturation. For the proposed aircraft, comprehensive controllability analysis is performed to evaluate the controllability of each state as well as the margin to reject mismatched disturbance without any knowledge of the controller. Mismatched disturbance attenuation is ensured through a structured H-infinity controller tuned by a non-smooth optimization algorithm. Embedded with the H-infinity controller, an adaptive control law is proposed in order to mitigate matched system uncertainty and actuator fault. Input saturation is also considered by the modified reference model. Numerical simulation of the novel ducted fan aircraft is provided to illustrate the effectiveness of the proposed method. The simulation results reveal that the proposed adaptive controller achieves better transient response and more robust performance than classic Model Reference Adaptive Control (MRAC) method, even with serious actuator saturation.     

Two freedom linear parameter varying μ synthesis control for flight environment testbed

To solve the problem of robust servo performance of Flight Environment Testbed(FET)of Altitude Ground Test Facilities(AGTF) over the whole operational envelope, a two-degree-offreedom μ synthesis method based on Linear Parameter Varying(LPV) schematic is proposed, and meanwhile a new structure frame of μ synthesis control on two degrees of freedom with double integral and weighting functions is presented, which constitutes a core support part of the paper. Aimed at the problem of reference command's rapid change, one freedom feed forward is adopted, while another freedom output feedback is used to meet good servo tracking as well as disturbance and noise rejection; furthermore, to overcome the overshoot problem and acquire dynamic tuning,the integral is introduced in inner loop, and another integral controller is used in outer loop in order to guarantee steady errors; additionally, two performance weighting functions are designed to achieve robust specialty and control energy limit considering the uncertainties in system. As the schedule parameters change over large flight envelope, the stability of closed-loop LPV system is proved using Lyapunov inequalities. The simulation results show that the relative tracking errors of temperature and pressure are less than 0.5% with LPV μ synthesis controller. Meanwhile, compared with non-LPV μ synthesis controller in large uncertainty range, the proposed approach in this research can ensure robust servo performance of FET over the whole operational envelope.     

飞机纵向非线性系统的鲁棒输出跟踪控制器设计

研究了单输入单输出非线性不确定系统的鲁棒输出跟踪控制。在标称系统可输入/输出线性化、不确定性项有界且满足广义匹配条件的情况下,可得到系统的高增益鲁棒输出跟踪控制器。鲁棒控制器仅依赖于设计参数和不确定性的界。将该方法应用于飞机纵向高阶非线性动态的控制器设计,并进行了数字仿真。结果表明了该方法的有效性。     

Friction compensation for low velocity control of hydraulic flight motion simulator: A simple adaptive robust approach

Low-velocity tracking capability is a key performance of flight motion simulator (FMS), which is mainly affected by the nonlinear friction force. Though many compensation schemes with ad hoc friction models have been proposed, this paper deals with low-velocity control without friction model, since it is easy to be implemented in practice. Firstly, a nonlinear model of the FMS middle frame, which is driven by a hydraulic rotary actuator, is built. Noting that in the low velocity region, the unmodeled friction force is mainly characterized by a changing-slowly part, thus a simple adaptive law can be employed to learn this changing-slowly part and compensate it. To guarantee the boundedness of adaptation process, a discontinuous projection is utilized and then a robust scheme is proposed. The controller achieves a prescribed output tracking transient performance and final tracking accuracy in general while obtaining asymptotic output tracking in the absence of modeling errors. In addition, a saturated projection adaptive scheme is proposed to improve the globally learning capability when the velocity becomes large, which might make the previous proposed projection-based adaptive law be unstable. Theoretical and extensive experimental results are obtained to verify the high-performance nature of the proposed adaptive robust control strategy.     

Compound Control for Hydraulic Flight Motion Simulator

The design of a compound control is presented for the servo system of hydraulic flight motion simulator, which suffers from highly nonlinear dynamics, large parameter time-variation and severe load coupling among channels. The compound control is composed of a robust feedback controller and a feedforward compensator. The design aim is to achieve high tracking performance even in the presence of considerable uncertainty, external disturbance and load coupling among channels. Toward this aim the feedback controller for rejecting perturbation and disturbance is designed by using μ synthesis optimization technique and the feedforward compensator for compensating time lag of dynamic system is established based on the basic idea of zero phase error tracking. To validate the proposed control strategy, simulations and experiments are implemented, and show that the resulting system is highly robust against model perturbation and possesses excellent capability of suppressing the load coupling and improving the tracking performance.     

卫星姿态跟踪系统的鲁棒控制器设计

研究了具有参数不确定性和外部干扰的卫星姿态跟踪控制问题。针对这一类多输入／多输出不确定非线性系统，提出了一个基于不确定项上界的鲁棒输出跟踪控制器设计方法。应用输入／输出反馈线性化法和李亚普诺夫方法，设计了一个控制律，它可确保系统输出按指数规律跟踪期望输出。该控制器计算简单，易于实现。仿真结果表明：即使系统存在不确定性，仍可在闭环系统中实现精确的姿态控制。     

Acceleration tracking control for a spinning glide guided projectile with multiple disturbances

A novel acceleration tracking controller is proposed in this paper, for a Spinning Glide Guided Projectile (SGGP) subject to cross-coupling dynamics, external disturbances, and parametric uncertainties. The cross-coupled dynamics for the SGGP are formulated with mismatched and matched uncertainties, and then divided into acceleration and angular rate subsystems via the hierarchical principle. By exploiting the structural property of the SGGP, model-assisted Extended State Observers (ESOs) are designed to estimate online the lumped disturbances in the acceleration and angular rate dynamics. To achieve a rapid response and a strong robustness, integral sliding mode control laws and sigmoid-function-based tracking differentiators are integrated into the ESO-based Trajectory Linearization Control (TLC) framework. It is proven that the acceleration tracking controller can guarantee the ultimate boundedness of the signals in the closed-loop system and make the tracking errors arbitrarily small. The superiority and effectiveness of the proposed control scheme in its decoupling ability, accurate acceleration tracking performance and anti-disturbance capability are validated through comparisons and extensive simulations.     

基于ESO的DGVSCMG双框架伺服系统不匹配扰动抑制

针对双框架变速率控制力矩陀螺（DGVSCMG）两种工作模式下内、外框架系统存在的不匹配干扰抑制问题,提出一种基于扩张状态观测器与状态反馈的扰动抑制方法。在对飞轮工作模式和陀螺工作模式下内、外框架系统的干扰进行建模和分析的基础上,针对其不匹配干扰设计了扩张状态观测器,通过坐标变换减小框架系统扰动对不匹配通道的影响,并结合状态反馈控制设计了复合控制器,同时对全局系统稳定性进行了分析。对框架系统进行的仿真结果验证了所提复合控制方法的有效性。实验结果表明,所提出的控制方法能有效减小耦合力矩对内外框架角速率带来的影响,在飞轮模式下使得内外框架的角速率跳动量分别降低了85%和78%,且在陀螺模式下使外框架角速率跳动量降低了75%。     

改进参考模型的涡扇发动机多变量模型参考自适应控制

针对涡扇发动机难以获得精确数学模型和普通模型参考自适应控制不保证动态性能的问题,提出了一种具有改进参考模型的涡扇发动机多变量模型参考自适应控制方法。采用状态反馈形式设计了状态跟踪的多变量自适应控制器,其中对参考模型作了引入跟踪误差反馈的改进,使得高自适应增益下跟踪曲线的超调得到明显的抑制,动态响应得到改善。应用该方法对涡扇发动机非线性部件级模型进行仿真分析,结果表明,控制系统调节时间小于2s,无稳态误差,具有良好的控制品质。     

Robust dynamic output feedback control for switched polytopic systems under asynchronous switching

The robust controller design problem for switched polytopic systems under asynchronous switching is addressed.These systems exist in many aviation applications, such as dynamical systems involving rapid variations.A switched polytopic system is established to describe the highly maneuverable technology vehicle within the full flight envelope and a robust dynamic output feedback control method is designed for the switched polytopic system.Combining the Lyapunov-like function method and the average dwell time method, a sufficient condition is derived for the switched polytopic system with asynchronous switching and data dropout to be globally,uniformly and asymptotically stable in terms of linear matrix inequality.The robust dynamic output feedback controller is then applied to the highly maneuverable technology vehicle to illustrate the effectiveness of the proposed approach.The simulation results show that the angle of attack tracking performance is acceptable over the time history and the control surface responses are all satisfying along the full flight trajectory.     

Robust Control for Static Loading of Electro-hydraulic Load Simulator with Friction Compensation

Load simulator is a key test equipment for aircraft actuation systems in hardware-in-the-loop-simulation. Static loading is an essential function of the load simulator and widely used in the static/dynamic stiffness test of aircraft actuation systems. The tracking performance of the static loading is studied in this paper. Firstly, the nonlinear mathematical models of the hydraulic load simulator are derived, and the feedback linearization method is employed to construct a feed-forward controller to improve the force tracking performance. Considering the effect of the friction, a LuGre model based friction compensation is synthesized, in which the unmeasurable state is estimated by a dual state observer via a controlled learning mechanism to guarantee that the estimation is bounded. The modeling errors are attenuated by a well-designed robust controller with a control accuracy measured by a design parameter. Employing the dual state observer is to capture the different effects of the unmeasured state and hence can improve the friction compensation accuracy. The tracking performance is summarized by a derived theorem. Experimental results are also obtained to verify the high performance nature of the proposed control strategy.     

Near minimum-time feedback attitude control with multiple saturation constraints for agile satellites

Agile satellites are of importance in modern aerospace applications,but high mobility of the satellites may cause them vulnerable to saturation during attitude maneuvers due to limited rating of actuators.This paper proposes a near minimum-time feedback control law for the agile satellite attitude control system.The feedback controller is formed by specially designed cascaded sub-units.The rapid dynamic response of the modified Bang–Bang control logic achieves the near optimal property and ensures the non-saturation properties on three-axis.To improve the dynamic performance,a model reference control strategy is proposed,in which the on-line near optimal attitude maneuver path is generated by the cascade controller and is then tracked by a nonlinear back-stepping controller.Furthermore,the accuracy and the robustness of the control system are achieved by momentum-based on-line inertial identification.The rapid attitude maneuvering can be applied for tasks including the move to move case.Numerical simulations are conducted to verify the effectiveness of the proposed control strategy in terms of the saturation-free property and rapidness.     

弹性飞翼无人机鲁棒姿态控制设计

针对大展弦比飞翼布局无人机的刚体运动与弹性运动耦合动力学模型,提出了一种基于反步法的鲁棒非线性控制方法。该方法考虑了飞翼无人机的非线性因素,将动态面反步控制作为内环控制抵消系统的非线性因素;同时考虑系统实际存在的弹性耦合项、参数不确定项以及外部扰动,将内环反步控制与飞翼无人机模型整体作为新的被控对象,引入最优化理论对新的被控对象设计了外环鲁棒控制器。仿真结果表明,所提出的控制器不仅满足飞翼无人机姿态跟踪性能的要求,且对模型不确定性和气动弹性影响具有鲁棒性。     

基于混合区域极点配置的航空发动机全包线鲁棒变参数控制器设计

针对航空发动机全包线多变量鲁棒变增益控制器设计问题,提出了一种基于混合区域极点配置的鲁棒变参数控制方法。利用Jacobian方法建立多调度参数下的发动机仿射线性变参数(Linear parameter varying,LPV)模型,用于描述发动机全包线内的非线性动态特性;针对上述LPV模型,采用仿射参数依赖Lyapunov函数设计具有H∞鲁棒性能的状态反馈控制器,给出了控制系统全局稳定性的证明;并利用混合区域极点配置方法,将闭环系统极点配置到左半平面指定位置,以保证控制系统的动态特性及稳定裕度;进而引入凸多胞技术,将参数依赖线性矩阵不等式(Linear matrix inequality,LMI)方程转化为有限维LMI进行控制器求解,并得到了全局解。针对涡扇发动机的仿真结果表明:存在复杂量测噪声干扰条件下,鲁棒变参数控制器可以实现发动机全包线内控制指令的精确跟踪,系统阶跃响应的调节时间不超过1.5s,系统无超调,对控制期望的稳态跟踪误差在0.02%以内,符合发动机控制系统技术要求。     

基于神经网络的MIMO非线性最小相位系统鲁棒自适应控制

 针对一类模型未知的具有不确定性和外部干扰的多输入多输出（MIMO）非线性最小相位系统提出了鲁棒自适应输出反馈跟踪控制方案。用高斯径向基函数（RBF）神经网络逼近对象未知非线性,用高增益观测器估计系统不可测量状态。所设计的鲁棒自适应控制器不仅能使闭环系统稳定,所有状态有界,而且跟踪误差一致最终有界,并保证最终边界足够小。仿真结果表明了所提出方法的有效性。     

A linear ADRC-based robust high-dynamic double-loop servo system for aircraft electro-mechanical actuators

Compared with traditional hydraulic actuators, an Electro-Mechanical Actuator(EMA)is small in size and light in weight, so it has become more widely used. Aerodynamic load on aircraft control surface varies dramatically, and a change of flight environment leads to uncertainties of motor parameters. Therefore, high-dynamic response and strong anti-disturbance capability of an EMA are of great significance for aircraft rudder control and flight attitude adjustment. In order to improve dynamic response and disturbance rejection of an EMA and simplify control parameters tuning, a robust high-dynamic servo system based on Linear Active Disturbance Rejection Control(LADRC) is proposed for an EMA employing a Permanent Magnet Synchronous Motor(PMSM).Firstly, total disturbances of the EMA are analyzed, including parameter uncertainties, load variation, and static friction. A disturbance observer based on a reduced-order Extended State Observer(ESO) is designed to improve the anti-interference ability and dynamic performance. Secondly, the servo control architecture is simplified to a double-loop system, and a composite control of position and speed with acceleration feed-forward is presented to improve the EMA frequency bandwidth.Thirdly, the ideal model of the EMA is transformed into a simple cascade integral form with a disturbance observer, which makes it convenient to analyze and design the controller. Robustness performance comparisons are realized in frequency domain. Finally, simulation and experimental results have verified the effectiveness of the proposed strategy for EMAs.