Non-fragile switching tracking control for a flexible air-breathing hypersonic vehicle based on polytopic LPV model

This article proposes a linear parameter varying (LPV) switching tracking control scheme for a flexible air-breathing hypersonic vehicle (FAHV). First, a polytopic LPV model is constructed to represent the complex nonlinear longitudinal model of the FAHV by using Jacobian linearization and tensor-product (T-P) model transformation approach. Second, for less conservative controller design purpose, the flight envelope is divided into four sub-regions and a non-fragile LPV controller is designed for each parameter sub-region. These non-fragile LPV controllers are then switched in order to guarantee the closed-loop FAHV system to be asymptotically stable and satisfy a specified performance criterion. The desired non-fragile LPV switching controller is found by solving a convex constraint problem which can be efficiently solved using available linear matrix inequality (LMI) techniques, and robust stability analysis of the closed-loop FAHV system is verified based on multiple Lypapunov functions (MLFs). Finally, numerical simulations have demonstrated the effectiveness of the proposed approach.     

A systematic method of smooth switching LPV controllers design for a morphing aircraft

This paper is concerned with a systematic method of smooth switching linear parametervarying(LPV) controllers design for a morphing aircraft with a variable wing sweep angle. The morphing aircraft is modeled as an LPV system, whose scheduling parameter is the variation rate of the wing sweep angle. By dividing the scheduling parameter set into subsets with overlaps, output feedback controllers which consider smooth switching are designed and the controllers in overlapped subsets are interpolated from two adjacent subsets. A switching law without constraint on the average dwell time is obtained which makes the conclusion less conservative. Furthermore,a systematic algorithm is developed to improve the efficiency of the controllers design process. The parameter set is divided into the fewest subsets on the premise that the closed-loop system has a desired performance. Simulation results demonstrate the effectiveness of this approach.     

高超声速飞行器大包线切换LPV控制方法

高超声速飞行器飞行包线和参数变化范围大,气动参数存在较强不确定性,要求控制器能够适应大的飞行包线并具有较好的鲁棒性。针对上述问题,提出一种基于间隙度量的大包线滞后切换线性变参数(LPV)控制方法。依照时变参数将设计包线划分为若干子区域,将多胞理论和间隙度量引入控制器求解,提出了基于最优间隙度量的LPV控制方法,并利用此方法独立设计各子区域的LPV控制器,以改善控制器控制性能和鲁棒性能;利用基于重叠区域的滞后切换策略实现大包线内各子区域控制器的切换,以抑制切换面附近控制器的切换抖动,并证明了切换闭环系统的稳定性;最后以某型高超声速飞行器为对象设计了大包线滞后切换LPV控制器。仿真结果表明该方法可实现控制指令的精确跟踪,提高设计包线内LPV控制器的控制性能和鲁棒性能,并能保证切换系统的稳定性。     

基于切换多胞LPV的涡扇发动机全包线中间状态控制

针对航空发动机全包线内参数变化范围较大,单一控制器很难保证全包线内的控制效果的问题,提出了基于切换多胞线性变参数（LPV）的发动机全包线中间状态控制方法.根据发动机的进口条件将飞行包线分为相互重叠的子区域,将多胞理论及状态重置切换方法引入控制器求解,给出了能够保证切换多胞LPV系统鲁棒稳定的线性矩阵不等式（LMI）条件;利用求解出的Lyapunov矩阵设计各子区域的LPV控制器,并结合几何位置调度策略实现子区域LPV控制;利用局部重叠的滞后切换策略和状态重置切换律实现全包线内各控制器的切换,并证明了该闭环切换系统的稳定性.最终以某型涡扇发动机为研究对象进行仿真验证,结果表明:采用该控制方法稳态误差能够控制在0.1%以内,超调量不大于0.5%.      

基于Kalman滤波的变体飞行器T-S模糊控制

针对变体飞行器的跟踪控制问题,提出了一种基于Kalman滤波的T-S模糊控制方法。考虑飞行器系统状态不可测,引入惯导数据作为辅助信息,利用Kalman滤波算法融合飞控信息与惯导信息实现状态估计。由于变体飞行器在不同变形结构下气动特性变化较大,为便于控制器设计,采用小扰动线性化方法得到飞行器在不同平衡点处的局部线性模型,并通过状态反馈方法设计局部控制器,局部线性模型和局部控制器通过模糊集和模糊规则聚合成一个连续光滑的全局T-S模糊模型和T-S模糊控制器。通过综合Kalman滤波器与T-S模糊控制器得到一个基于Kalman滤波的T-S模糊控制器。仿真结果表明,该控制器在变形过程中能够实现状态估计,保证飞机的跟踪性能。     

Model reference adaptive control with smooth switching scheme for piecewise linear systems and its application in turbofan engine control

A model reference adaptive control (MRAC) with smooth switching scheme was proposed for piecewise linear systems, and the method was utilized in turbofan engine control to avoid the discontinuity of control input. In this scheme, each sub-region of the operating envelope had its own MRAC controller, and smooth indicator function based smooth switching scheme was introduced to switch multiple controllers smoothly at the boundary of adjacent sub-regions. The Lyapunov stability analysis indicated that the proposed smooth switching scheme can guarantee the convergence of the closed-loop system during the controllers switching. The tracking error system was converted into a switched system to analyze the global stability of the closed-loop system. The advantage of the method was that the chattering of system output and instability caused by asynchronous switching can be eliminated. The simulation illustrates the effectiveness of the proposed control scheme in comparison with the existing MRAC controller with gain scheduling for turbofan engine.      

MULTI-CONTROLLER STRUCTURE OF SUPERMANEUVERABLE AIRCRAFT

Supermaneuver flight is often operated withhigh angle- of- attack and high angular rates.Su-per- maneuver flight cannot be controlled by aconventional gain- scheduled controller but canbe controlled by using a nonlinear dynamic- in-version controller[1～ 3] .　　 This paper presents a method to use twokinds of controllers,nonlinear dynamic- inver-sion and conventional gain- scheduled con-trollers,in a flight control system.The nonlin-ear dynamic- inversion controller is used to con-trol superm…     

变体无人机动力学模型及切换控制研究

针对能够在飞行过程中进行结构变形的变体无人机,考虑由变形引起的气动力与力矩,惯性力与力矩的非线性变化,建立其在质点系假设条件下的多体动力学模型。根据切换系统理论,将变体无人机视为一类线性切换系统,选择设计点,采用极点配置方法针对各设计点处的线性子系统设计控制器,再制定以变形量为决策变量的控制切换方案,构成切换控制系统。通过建立公共Lyapunov函数,推导了能够保证闭环切换系统在结构变形过程中一致有界的充分条件。以变体无人机Fire-Bee为例,验证了方案的有效性,仿真结果表明闭环系统无论在固定结构下还是变形过程中都具有良好的动态特性。     

Switching control of morphing aircraft based on Q-learning

This paper investigates a switching control strategy for the altitude motion of a morphing aircraft with variable sweep wings based on Q-learning. The morphing process is regarded as a function of the system states and a related altitude motion model is established. Then, the designed controller is divided into the outer part and inner part, where the outer part is devised by a combination of the back-stepping method and command filter technique so that the ‘explosion of complexity’ problem is eliminated. Moreover, the integrator structure of the altitude motion model is exploited to simplify the back-stepping design, and disturbance observers inspired from the idea of extended state observer are devised to obtain estimations of the system disturbances. The control input switches from the outer part to the inner part when the altitude tracking error converges to a small value and linear approximation of the altitude motion model is applied. The inner part is generated by the Q-learning algorithm which learns the optimal command in the presence of unknown system matrices and disturbances. It is proved rigorously that all signals of the closed-loop system stay bounded by the developed control method and controller switching occurs only once. Finally, comparative simulations are conducted to validate improved control performance of the proposed scheme.     

有向切换拓扑下非线性多智能体系统的一致性控制

本文研究有向切换拓扑条件下无领导者的Lur'e型非线性多智能体系统的动态一致性问题。设计了基于协同邻居输出信息的观测器类型的动态一致性算法，可以保证在邻居状态信息未知情况下系统达到一致。利用Laplacian矩阵的特殊性质以及Laplacian矩阵的降维变型形式，提出了一种新的拓扑依赖的多重Lyapunov函数构建方法，进而将切换拓扑下的一致性问题转换为低维切换系统的稳定性问题。该方法放宽了对拓扑条件的约束，实现了网络拓扑依赖矩阵和系统动态依赖矩阵的独立设计。再利用多重Lyapunov函数法结合线性矩阵不等式方法对系统进行稳定性分析，给出动态一致性控制器的反馈矩阵的求解方法，得到了平均驻留时间条件。结果表明，提出的方法可使得Lur'e型非线性多智能体系统达成一致，只要满足每个候选拓扑中都包含有向生成树且切换拓扑的平均驻留时间大于一个指定的阈值。     

Gain self-scheduled H_∞ control for morphing aircraft in the wing transition process based on an LPV model

This article investigates gain self-scheduled H 1 robust control system design for a tailless fold- ing-wing morphing aircraft in the wing shape varying process. During the wing morphing phase, the aircraft’s dynamic response will be governed by time-varying aerodynamic forces and moments. Nonlinear dynamic equations of the morphing aircraft are linearized by using Jacobian linearization approach, and a linear parameter varying (LPV) model of the morphing aircraft in wing folding is obtained. A multi-loop controller for the morphing aircraft is formulated to guarantee stability for the wing shape transition process. The proposed controller uses a set of inner-loop gains to provide stability using classical techniques, whereas a gain self-scheduled H 1 outer-loop controller is devised to guarantee a specific level of robust stability and performance for the time-varying dynamics. The closed-loop simulations show that speed and altitude vary slightly during the whole wing folding process, and they converge rapidly after the process ends. This proves that the gain self-scheduled H 1 robust controller can guarantee a satisfactory dynamic performance for the morphing aircraft during the whole wing shape transition process. Finally, the flight control system’s robustness for the wing folding process is verified according to uncertainties of the aerodynamic parameters in the nonlinear model.     

Design for aircraft engine multi-objective controllers with switching characteristics

The aircraft engine multi-loop control system is described and the switching control theory is introduced to solve the regulating and protecting control problems in this paper. The aircraft engine multi-loop control system is firstly described and the control problems are formulated. Secondly, the theory of the smooth switching control is devoted and a new extended scheme for the smooth switching of a switched control system is introduced. Then, for the key technologies of aero-engines switching control, a design algorithm is presented which can determine which candidate controller should be put in feedback with the plant to achieve a desired performance and the procedure to design the aircraft engine multi-loop control system is detailed. The switching performance objectives and the switching scheme are given and a family of PID controllers and compensators is designed. The simulation shows that using the switching control design method can not only improve the dynamic performance of the aircraft engine control system and reduce the switching times, but also guarantee the stability in some peculiar occasions.     

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.     

基于多项式平方和规划的涡扇发动机切换控制

针对航空发动机动态特性随飞行状态和飞行条件的变化范围大,单一控制器很难保证全包线内控制效果的问题,在航空发动机LPV模型基础上提出1种平滑过渡的切换控制方法。该方法根据发动机进口条件对飞行包线区域进行划分,按照多项式平方和规划理论以及平滑过渡切换律求取各子区域的Lyapunov函数及LPV控制器。在某型涡扇发动机上进行仿真验证,结果表明:所设计的切换LPV控制器在不同高度、马赫数和转速条件下均具有良好的性能和控制精度,可以实现平滑切换。     

Robust LPV modeling and control of aircraft flying through wind disturbance

This article deals with the disturbance attenuation control of aircraft flying through wind shear via Linear Parameter Varying(LPV) modeling and control method. A Flight Dynamics Model(FDM) with wind shear effects considered was established in wind coordinate system. An LPV FDM was built up based on function substitution whose decomposing function was optimized by Genetic Algorithm(GA). The wind disturbance was explicitly included in the system matrix of LPV FDM. Taking wind disturbance as external uncertainties, robust LPV control method with the LPV FDM was put forward. Based on ride quality and flight safety requirements in wind disturbance, longitudinal and lateral output feedback robust LPV controllers were designed respectively,in which the scheduling flight states in LPV model were actually dependent parameters in LPV control. The results indicate that LPV FDM can reflect the instantaneous dynamics of nonlinear system especially at the boundary of aerodynamic envelope. Furthermore, the LPV FDM also can approach nonlinear FDM's response in wind disturbance special flight. Compared with a parameter-invariant LQR controller designed with a small-disturbance FDM, the LPV controllers show preferable robustness and stability for disturbance attenuation.     

双滑轨式机翼前掠机构设计

为了满足变体飞机在气动和结构方面的要求,基于变前掠翼布局,提出一种双滑轨式的翼身连动机构,使飞机气动布局可以在平直翼、前掠翼、三角翼之间自由转换。首先,通过结构框图和三维模型图对双滑轨式翼身连动机构进行了总体概述;其次,对设计过程中的具体问题进行了说明;最后,从功能实现和结构设计两个方面对双滑轨式翼身连动机构和传统单转轴式翼身连动机构进行了对比分析。双滑轨式翼身连动机构可以较好地满足气动外形变化的要求,并且,在同等条件下使翼根处载荷减小35.6%,转轴处载荷减小7.2%。因此,本方案可以作为变体飞机设计过程中的一种参考方案。     

一类不确定切换互联大系统的分散保性能控制

研究了一类具有范数有界不确定性的切换互联大系统的分散状态反馈保性能控制问题。对于给定的二次型性能指标,基于完备性和凸组合方法导出了不确定切换互联大系统存在分散状态反馈保性能控制器的充分条件。进一步,利用线性矩阵不等式方法给出了分散状态反馈保性能控制器和切换策略的设计方法。数值仿真结果表明了所提设计方法的有效性。     

折叠机翼变体飞机非对称变形控制效率分析

折叠机翼变体飞机变形量大,变形引起的气动参数变化显著,提出一种将非对称变形作为操纵输入的控制方案,研究非对称变形的控制效率和有效区间。首先建立能够完整描述变形过程的非线性动力学方程和气动力模型;然后基于非对称变形控制方法建立一种非对称变形操纵模型;最后通过与常规操纵面效率对比和仿真的动态响应总结出非对称变形操纵的最大变形操纵有效区间。结果表明:在较低飞行速度下非对称变形操纵效率高,非对称变形操纵能够在基准折叠角度90°附近提供最高的滚转操纵效率。     

Proportional fuzzy feed-forward architecture control validation by wind tunnel tests of a morphing wing

In aircraft wing design, engineers aim to provide the best possible aerodynamic performance under cruise flight conditions in terms of lift-to-drag ratio. Conventional control sur-faces such as flaps, ailerons, variable wing sweep and spoilers are used to trim the aircraft for other flight conditions. The appearance of the morphing wing concept launched a new challenge in the area of overall wing and aircraft performance improvement during different flight segments by locally altering the flow over the aircraft's wings. This paper describes the development and appli-cation of a control system for an actuation mechanism integrated in a new morphing wing structure. The controlled actuation system includes four similar miniature electromechanical actuators dis-posed in two parallel actuation lines. The experimental model of the morphing wing is based on a full-scale portion of an aircraft wing, which is equipped with an aileron. The upper surface of the wing is a flexible one, being closed to the wing tip; the flexible skin is made of light composite materials. The four actuators are controlled in unison to change the flexible upper surface to improve the flow quality on the upper surface by delaying or advancing the transition point from laminar to turbulent regime. The actuators transform the torque into vertical forces. Their bases are fixed on the wing ribs and their top link arms are attached to supporting plates fixed onto the flex-ible skin with screws. The actuators push or pull the flexible skin using the necessary torque until the desired vertical displacement of each actuator is achieved. The four vertical displacements of the actuators, correlated with the new shape of the wing, are provided by a database obtained through a preliminary aerodynamic optimization for specific flight conditions. The control system is designed to control the positions of the actuators in real time in order to obtain and to maintain the desired shape of the wing for a specified flight condition. The feasibility and effectiveness of the developed control system by use of a proportional fuzzy feed-forward methodology are demon-strated experimentally through bench and wind tunnel tests of the morphing wing model.     

基于多项式平方和规划的航空发动机鲁棒LPV/PI控制

针对航空发动机常规(proportion integration,PI)控制器设计过程中难以保证鲁棒性及参数适应性差等问题,提出了一种基于线性变参数(linear parameter varying,LPV)模型及多项式平方和(sum of squares,SOS)规划的控制器设计方法.结合传递函数模型下的鲁棒稳定条件及弱对偶定理给出了多项式描述的LPV模型鲁棒稳定条件,并转化为便于求解的SOS规划问题.根据发动机非线性模型获取不同转速下的传递函数模型,并利用多项式拟合的方法建立发动机LPV模型.根据所提出的定理构造出SOS规划问题,并求解得出LPV/PI控制器.最终以某型双轴涡扇发动机为被控对象,在包线内不同点进行了阶跃仿真,结果表明:高压转子转速控制系统的稳态误差为0,调节时间小于3s.