Fractional order adaptive robust formation control of multiple quad-rotor UAVs with parametric uncertainties and wind disturbances

In recent times, multiple Unmanned Aerial Vehicles (UAVs) are being widely utilized in several areas of applications such as agriculture, surveillance, disaster management, search and rescue operations. Degree of robustness of applied control schemes determines how accurate a swarm of UAVs accomplish group tasks. Formation and trajectory tracking controllers are required for the swarm of multiple UAVs. Factors like external environmental effects, parametric uncertainties and wind gusts make the controller design process as a challenging task. This article proposes fractional order formation and trajectory tacking controllers for multiple quad-rotors using Super Twisting Sliding Mode Control (STSMC) technique. To compensate the effects of the disturbances due to parametric uncertainties and wind gusts, Lyapunov function based adaptive controllers are formulated. Moreover, Lyapunov theorem is used to guarantee the stability of the proposed controllers. Three types of controllers, namely fixed gain STSMC and fractional order Adaptive Super Twisting Sliding Mode Control (ASTSMC) methods are tested for the swarm of UAVs by performing the numerical simulations in MATLAB/Simulink environment. From the presented results, it is verified that in presence of wind disturbances and parametric uncertainties, the proposed fractional order ASTSMC technique showed improved robustness as compared to the fixed gain STSMC and integer order ASTSMC.     

Adaptive fuzzy terminal sliding mode control for the free-floating space manipulator with free-swinging joint failure

Space manipulator with free-swinging joint failure simultaneously contains kinematic and dynamic coupling relationships, so it belongs to a new underactuated system. To allow the manipulator to carry on tasks, an effective robust underactuated control method for the space manipulator with free-swinging joint failure is studied in this paper. Considering the effect of model uncertainty and joint torque disturbance, a robust underactuated control system based on the Terminal Sliding Mode Controller (TSMC) is designed, but two drawbacks are discussed: (A) Robustness depraves with eliminating chattering. (B) Control parameters are difficult to be determined under unknown uncertainty and disturbance. To improve the TSMC, the adaptive fuzzy controller is introduced to estimate the real effect of unknown uncertainty and disturbance according to deviations of sliding mode and its reaching law. The estimated result is directly compensated into active joints torque. In simulation, the space manipulator with free-swinging joint executes tasks based on the TSMC and the Adaptive Fuzzy Terminal Sliding Mode Controller (AFTSMC) respectively. Same tasks can be finished with smaller joints torque and stronger robustness based on the AFTSMC. Therefore, AFTSMC can serve as an effective robust control method for the space manipulator with free-swinging joint failure under unknown model uncertainty and torque disturbance.     

基于非线性抗扰滑模控制的永磁同步电机直接转矩控制

针对永磁同步电机(PMSM)内部参数不确定和外部干扰未知的问题,提出了一种基于非线性光滑扩张状态观测器(ESO)的非线性控制方法。通过引入非线性光滑函数设计了ESO,实现了对PMSM内部和外部不确定因素的观测,并把观测结果实时补偿给非线性控制器,有效提高了电机的动静态性能和抗扰能力。采用基于非线性光滑函数的滑模控制器替代传统直接转矩控制中的滞环控制器,有效地削弱了转矩和磁链的抖振和脉动。仿真结果表明所提方法响应速度快、稳定性好、抗扰能力强,是一种鲁棒性强的控制方法。     

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.     

High dynamic output feedback robust control of cascaded extended state observer

High dynamic tracking performance is a key technical index of hydraulic flight motion simulator(HFMS). However, the strong nonlinearities, various model uncertainties and measurement noise in hydraulic actuation systems limit the high dynamic performance improvement. In this paper, the outer axis frame of a HFMS is taken as a case study and its nonlinear dynamic model with consideration of strong nonlinearities, matched and mismatched uncertainties is established.A novel cascaded extended state ...     

Adaptive control for feedback-linearized missiles withuncertainties

A robust adaptive control scheme is proposed that can be applied to a practical autopilot design for feedback-linearized skid-to-turn (STT) missiles with aerodynamic uncertainties. The approach is to add a robust adaptive controller to a feedback-linearizing controller in order to reduce the influence of the aerodynamic uncertainties. The proposed robust adaptive control scheme is based on a sliding mode control technique with an adaptive law for estimating the unknown upper bounds of uncertain parameters. A feature of the proposed scheme is that missile systems with aerodynamic uncertainties can be controlled effectively over a wide operating range of flight conditions. It is shown, using Lyapunov stability theory, that the proposed scheme can give sufficient tracking capability and stability for a feedback-linearized STT missile with aerodynamic uncertainties. The six-degree-of-freedom nonlinear simulation results also show that good performance for several uncertainty models and engagement scenarios can be achieved by the proposed scheme in practical night conditions     

不确定航空发动机分布式控制系统自适应滑模控制

针对存在参数摄动、外部干扰的航空发动机不确定性分布式控制系统，在系统具有时变输入时延和干扰上界未知的情况下，设计了具有鲁棒性能的自适应滑模控制器。基于预测控制和矩阵奇异值理论，对初始的发动机离散分布式模型进行等效线性变换，得到不显含时延项的规范形系统模型，便于进行滑模面参数的求解；在给定的H∞指标下，推导了滑模运动在非匹配不确定性作用下渐进稳定的充分条件，给出了线性矩阵不等式(LMI)形式的滑模面参数设计方法；最后，设计对干扰具有估计功能的自适应率，在此基础上提出自适应滑模控制器。仿真结果表明:所设计的控制器能够有效降低外部干扰对系统动态性能的影响，在所考虑的不确定性因素作用下，系统的滑模运动具有理想的H∞性能。当外部干扰强度变化时，控制器的鲁棒性较好，状态收敛时间小于0.8s，且不存在抖振。      

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。     

基于鲁棒变结构控制方法的非线性导弹自动驾驶仪设计

对一类非线性不确定导弹控制系统,采用自适应方法进行了基于滑模理论的变结构控制器设计。该方案使得采用反演手段产生的微分爆炸问题得到较好的回避,同时构造自适应律,消除了不确定性对系统的影响,最后通过构造Lyapunov函数方法,确保了系统的鲁棒稳定性。文末仿真结果表明了该方案的有效性。     

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.     

基于RBF神经网络的一类非线性系统反演鲁棒自适应控制

提出一种基于RBF神经网络的一类非线性系统反演鲁棒自适应控制器设计方法。使用RBF神经网络逼近系统不确定性,并和控制器与虚拟控制器中的鲁棒项一起消除不确定性的影响,由Lyapunov稳定性理论推出的RBF神经网络权值矩阵的自适应律能保证闭环系统的所有信号有界,且误差能够全局指数收敛于原点的邻域。该方法不需要系统不确定性的上界以及其任意阶导数,最后的仿真结果验证了方法的有效性。     

Fixed-time adaptive model reference sliding mode control for an air-to-ground missile

This paper addresses the fixed-time adaptive model reference sliding mode control for an air-to-ground missile associated with large speed ranges, mismatched disturbances and un-modeled dynamics. Firstly, a sliding mode surface is developed by the tracking error of the state equation and the model reference state equation with respect to the air-to-ground missile. More specifically,a novel fixed-time adaptive reaching law is presented. Subsequently, the mismatched disturbances and the un-modeled dynamics are treated as the model errors of the state equation. These model errors are estimated by means of a fixed-time disturbance observer, and they are also utilized to compensate the proposed controller. Therefore, the fixed-time controller is obtained by an adaptive reaching law and a fixed-time disturbance observer. Closed-loop stability of the proposed controller is established. Finally, simulation results including Monte Carlo simulations, nonlinear six-DegreeOf-Freedom(6-DOF) simulations and different ranges are presented to demonstrate the efficacy of the proposed control scheme.     

吸气式高超声速飞行器鲁棒非奇异Terminal滑模反步控制

针对含有参数摄动、外界干扰的吸气式高超声速飞行器弹性模型,设计了一种基于新型非线性干扰观测器的Terminal滑模反步控制器。将考虑弹性模态的飞行器纵向模型表示为严格反馈形式,在传统反步法的基础上采用非奇异快速Terminal滑模控制俯仰角与俯仰角速率,优化了反步法的控制结构,并实现了系统的有限时间收敛。基于跟踪微分器设计了一种新型非线性干扰观测器,并与本文所提滑模反步方法相结合,通过对包括虚拟控制量微分信号在内的不确定性进行估计与补偿,进一步提高了控制器的鲁棒性,同时解决了"微分膨胀"问题。基于Lyapunov稳定性理论证明了系统的跟踪误差于有限时间收敛至零。仿真结果表明,该控制器在存在不确定性的情况下,可以实现对参考输入的稳定跟踪。     

基于自适应模糊系统的空天飞行器非线性预测控制

 针对一类多输入多输出非线性不确定系统,提出了基于自适应模糊系统的非线性预测控制方法。控制器由基于模糊系统的非线性预测控制器和鲁棒自适应控制器两个部分组成。根据系统的跟踪误差在线调整模糊系统的权值,使得模糊系统一致逼近被控对象中的非线性函数,通过泰勒展开设计出基于模糊系统的非线性预测控制律,避免了预测控制在线优化带来的繁重的计算负担。鲁棒自适应控制器则用于减少不确定和模糊逼近误差对系统的影响。所设计的控制器保证了闭环系统的最终一致有界稳定。基于Lyapunov稳定原理,给出了理论证明和分析。最后利用提出的控制方案设计了空天飞行器高超声速飞行姿态的控制系统,仿真结果表明了控制方案的有效性。     

基于Backstepping的严格反馈极值搜索系统控制器设计

针对一类含不确定参数的严格反馈型极值搜索系统的控制问题,将极值搜索方法和反演(Backstepping)控制方法相结合,设计出系统状态的极值参考轨迹,利用 Backstepping控制方法逐步递推选取适当的 Lyapunov函数设计控制器和不确定参数自适应估计律,实现目标函数的极值搜索。仿真表明所提出控制器设计方法的有效性。     

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.     

一类不确定非线性系统的鲁棒自适应设计

讨论了一类含有广义不确定性的非线性系统的自适应跟踪问题。通过引入一种新颖的鲁棒函数,有效地抑制了系统不确定性对系统的影响,并利用反演设计技术设计了控制器,避免了系统控制矩阵未知时控制器可能出现的奇异问题,证明了系统的状态跟踪误差和参数误差指数收敛于原点的一个邻域。     

侧向自动着舰引导控制L1自适应设计

针对具有不确定性及外部干扰的着舰轨迹精确跟踪控制问题,提出了一种对侧向自动着舰引导控制内外回路进行综合化设计的方法.使用特征结构配置实现侧向模态解耦跟踪控制,同时设计L1自适应控制器以补偿系统由于不确定性、舵面故障、舰尾流干扰带来的不利影响,将其应用到侧向自动着舰控制系统.仿真结果表明,对内外回路进行综合设计的着舰引导控制律具有抑制不确定性及干扰的能力,能够实现对侧向自动着舰轨迹的精确跟踪控制.     

基于小波神经网络的自适应飞/推控制系统设计

基于小波神经网络提出了一种H∞自适应控制方法。控制器由等效控制器和H∞控制器两部分组成。用小波神经网络逼近非线性函数,并把逼近误差引入到权值的自适应律中用以改善系统的动态性能。H∞控制器用于减弱外部及神经网络的逼近误差对跟踪的影响。所设计的控制器不仅保证了闭环系统的稳定性,而且使外部干扰及神经网络的逼近误差对跟踪的影响减小到给定的性能指标。最后基于所设计的控制方法对新一代歼击机设计了飞/推控制系统,并对飞机作大迎角机动仿真。仿真结果表明所设计的飞/推控制系统是有效的,同时验证了所设计的非线性控制方法是有效性的。      

无速度反馈的航天器姿轨耦合跟踪控制

提出了一种无速度反馈的航天器姿轨耦合跟踪控制算法。首先建立起基于对偶四元数的带扰动和参数不确定性的航天器姿轨耦合动力学模型。然后基于浸入与不变流形理论设计了速度观测器,通过增益注入对非线性项抑制,从而同时估计角速度和线速度。利用李雅普诺夫函数分析了观测器状态量的收敛性以及注入增益的有界性,证明了该观测器的指数稳定性。最后设计了一个比例-微分（PD）位置与姿态跟踪控制器,该控制器可以实现航天器的任意姿态与位置跟踪,分析了这种观测-控制结构的闭环系统渐近稳定性。仿真验证了该速度观测器和控制器的有效性以及对于参数不确定性和测量噪声具有较好的鲁棒性。