分段线性气动弹性系统的作动器饱和控制律研究

本文通过规范化带有分段非线性刚度的三自由度二元机翼的状态方程,研究机翼气动弹性控制律的饱和设计问题。基于参数变化引起的状态矩阵不稳定共轭特征根,分离出不稳定子系统。利用子系统时间可逆性寻找系统的零可控域和吸引域,结合高阶不变吸引域设计出针对不同可控区域的线性饱和反馈控制律。数值仿真结果表明:这种设计方法能快速镇定不稳定的气动弹性系统,在初始条件很苛刻的条件下亦能对模型进行有效控制。     

碟形飞行器过驱动饱和系统的吸引域估计

为获得碟形飞行器过驱动饱和系统的吸引域估计,首先采用控制分配方法使双执行器控制系统简化成单执行器控制系统,然后运用线性二次调节方法设计反馈控制律,并通过计算机迭代获得尽量大的系统吸引域,分析了不同控制分配策略下影响系统吸引域大小的原因。仿真结果表明了该方法的有效性。     

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。     

联合连通拓扑下多无人机编队控制

针对在联合连通拓扑条件下的多无人机系统,研究了具有二阶动力学系统模型的多无人机系统时变编队控制问题。基于一致性理论,设计了一致性控制器,将联合连通拓扑条件下的编队控制问题简化为低阶时间平均系统的渐进稳定性问题。利用Lyapunov函数证明了所设计的控制器能够实现编队控制,并利用线性矩阵不等式(LMI)方法给出了控制器的设计算法。在三维空间中,对多无人机系统进行了仿真,验证了所设计的一致性控制器能够使得多无人机系统在联合连通拓扑条件下形成时变编队。     

基于分布式自适应的多智能体容错一致性控制

针对"领航者-跟随者"的多智能体编队，由于领航者系统出现故障引起编队通讯中断而不能完成任务的问题，提出了一种基于一致性理论的分布式自适应控制方法，用于解决该问题。首先，以一个位于顶点的智能体作为领航者，其余3个位于同一条线上的智能体作为跟随者，由此所构成的三角形编队作为被控对象。其中，领航者速度方向作为编队的前行方向，跟随者位于领航者之后。其次，基于图论，对智能体局部信息参数进行分布式自适应更新，并设计分布式自适应控制律，用于弥补多智能体编队中领航者故障所造成的影响。同时，根据相邻智能体的局部信息，设计整体分布式自适应容错控制律，进一步通过构建合理的Lyapunov函数，证明所设计控制器的稳定性，以及"领航者-跟随者"之间相对横向以及相对纵向的距离误差均收敛于固定常数。最后，仿真验证表明：所提出的自适应控制方法具有良好的鲁棒性，这也为工程实践提供了理论依据。     

具有动态领导者的多智能体系统分组一致性控制

对一类具有动态领导者的非线性多智能体系统的一致性进行研究，解决了领导-跟随一致性控制问题。首先，考虑到多目标任务中广泛存在的合作-竞争机制和领导者的控制输入非零的情况，基于邻居智能体的相对状态信息，设计了一类分布式的分组一致性控制器。通过在所设计的控制器中增加补偿项，解决了由领导者非零控制输入引出的问题。引入了一类Lipschitz-like条件，解决了非线性项在实现分组一致时所带来的困难。其次，利用图论和构造Lyapunov函数，通过求解代数Riccati方程得出了系统实现分组一致性的充分条件，并基于所设计的控制器实现了多智能体系统动态领导-跟随的分组一致性控制。最后，通过数值仿真和结果分析验证了所提出控制方案的有效性和可行性。     

卫星姿态控制的一种鲁棒控制方法

针对含有不确定性的Delta算子离散系统,研究了其鲁棒控制问题。鲁棒控制律的存在条件及设计由线性矩阵不等式描述,便于求解。将所得结果应用于卫星姿态控制系统的设计,以解决对模型进行线性化处理时产生的误差。针对所得控制律进行了仿真研究,结果证明了方法的有效性。     

基于自由权矩阵的时变时延线性群系统编队控制

研究了基于自由权矩阵方法的时变时延线性群系统编队控制问题。首先,基于一致性理论,设计了具有时变时延的线性群系统编队控制协议。其次,通过变量代换,将时延条件下的线性群系统编队控制问题转化为时延系统的镇定问题。构造Lyapunov-Krasovskii函数,并利用自由权矩阵方法对时延系统的镇定问题进行分析,得到了保守性较小的线性矩阵不等式（LMI）判据,并求解出时延上界和编队控制器增益。最后,通过仿真实验,验证了方法的有效性。     

基于LMI的高超声速飞行器滑模预测控制

针对高超声速飞行器非线性、多约束、快时变等特点,提出了一种基于线性矩阵不等式的滑模预测控制方法.首先设计系统的滑模面,然后对滑模面进行预测并将其作为优化性能指标,通过Schur补引理将控制律的设计转化为一个优化问题.该方法避免了常规滑模控制的高频切换,有效地克服了抖振现象.此外,相对于传统的滑模预测控制方法,该方法不需要额外计算终端约束条件和终端代价函数,只需要通过选取合适的李雅普诺夫函数即可保证系统的稳定性,且其加权矩阵和控制律是同时进行优化设计的,简化了设计过程.仿真试验表明,相比于单纯的预测控制和滑模控制,所提出的方法具有更好的跟踪性能.     

应用保护映射理论的高超声速飞行器自适应控制律设计

针对高超声速飞行器包线范围广、参数变化大的控制需求,应用保护映射理论提出一种高超声速飞行器的自适应控制律设计方法。首先建立整个飞行包线内的线性变参数(LPV)模型,在参数变化边界点设计一个初始的控制结构和参数,然后基于保护映射理论分析初始控制结构使闭环系统稳定的参数范围,通过迭代自动获取整个包线内满足性能指标的控制参数,进而通过多项式拟合设计出高超声速飞行器自适应控制律。所提出的方法能够根据初始控制结构自动寻找一系列满足性能要求的控制器参数,并确定这些控制参数满足闭环系统稳定的设计范围。仿真结果表明,所设计的自适应控制律能够确保高超声速飞行器大包线的设计要求,实现闭环系统的鲁棒稳定。     

Fractional order modeling and control of dissimilar redundant actuating system used in large passenger aircraft

In this paper, a methodology has been developed to address the issue of force fighting and to achieve precise position tracking of control surface driven by two dissimilar actuators. The nonlinear dynamics of both actuators are first approximated as fractional order models. Based on the identified models, three fractional order controllers are proposed for the whole system. Two Fractional Order PID (FOPID) controllers are dedicated to improving transient response and are designed in a position feedback configuration. In order to synchronize the actuator dynamics, a third fractional order PI controller is designed, which feeds the force compensation signal in position feedback loop of both actuators. Nelder-Mead (N-M) optimization technique is employed in order to optimally tune controller parameters based on the proposed performance criteria. To test the proposed controllers according to real flight condition, an external disturbance of higher amplitude that acts as airload is applied directly on the control surface. In addition, a disturbance signal function of system states is applied to check the robustness of proposed controller. Simulation results on nonlinear system model validated the performance of the proposed scheme as compared to optimal PID and high gain PID controllers.     

Inverted decoupling and LMI-based controller design for a turboprop engine with actuator dynamics

The main objective of the turboprop engine control system is to ensure propeller absorbed power at a constant propeller speed by controlling fuel flow and blade angle. Since each input variable affects the selected output variables, there exist strong interactions between different control loops of a Two-Spool TurboProp Engine (TSTPE). Inverted decoupling is used to decouple the interactions and decompose the TSTPE into two independent single-input single-output systems. The multi-variable PI controller and two single-variable PI controllers are designed for the TSTPE with actuator dynamics based on Linear Matrix Inequality (LMI), respectively, which is derived from static output feedback and pole placement condition. The step responses show that due to the difference in the response times of the selected output variables, it is difficult to design an appropriate multi-variable PI controller. The designed single-variable PI controllers are tested on the TSTPE integrated model to illustrate the effectiveness of the proposed method, that is, the interactions are first decoupled and then the controllers are designed, and the resulting simulated responses show that compared with the controller designed without actuator dynamics, the gas-generator shaft speed and power turbine shaft speed can better track their respective commands under the action of the controller designed with actuator dynamics.     

Attitude Control Considering Variable Input Saturation Limit for a Spacecraft Equipped with Flywheels

A new attitude controller is proposed for spacecraft whose actuator has variable input saturation limit. There are three identical flywheels orthogonally mounted on board. Each rotor is driven by a brushless DC motor (BLDCM). Models of spacecraft attitude dynamics and flywheel rotor driving motor electromechanics are discussed in detail. The controller design is similar to saturation limit linear assignment. An auxiliary parameter and a boundary coefficient are imported into the controller to guarantee system stability and improve control performance. A time-varying and state-dependent flywheel output torque saturation limit model is established. Stability of the closed-loop control system and asymptotic convergence of system states are proved via Lyapunov methods and LaSalle invariance principle. Boundedness of the auxiliary parameter ensures that the control objective can be achieved, while the boundary parameter’s value makes a balance between system control performance and flywheel utilization efficiency. Compared with existing controllers, the newly developed controller with variable torque saturation limit can bring smoother control and faster system response. Numerical simulations validate the effectiveness of the controller.     

Adaptive fault-tolerant attitude tracking control for spacecraft with time-varying inertia uncertainties

This paper is devoted to adaptive attitude tracking control for rigid spacecraft in the presence of parametric uncertainties, actuator faults and external disturbance. Specifically, a dynamic model is established based on one-tank spacecraft, which explicitly takes into account changing Center of Mass(CM). Then, a control scheme is proposed to achieve attitude tracking.Benefiting from explicitly considering the changing CM during the controller design process, the proposed scheme possesses good robustness to parametric uncertainties with less fuel consumption.Moreover, a fault-tolerant control algorithm is proposed to accommodate actuator faults with no need of knowing the actuators' fault information. Lyapunov-based analysis is provided and the closed-loop system stability is rigorously proved. Finally, numerical simulations are presented to illustrate the effectiveness of the proposed controllers.     

Design of passive fault-tolerant flight controller against actuator failures

The problem of designing passive fault-tolerant flight controller is addressed when the normal and faulty cases are prescribed. First of all, the considered fault and fault-free cases are formed by polytopes. As considering that the safety of a post-fault system is directly related to the maximum values of physical variables in the system, peak-to-peak gain is selected to represent the relationships among the amplitudes of actuator outputs, system outputs, and reference commands. Based on the parameter dependent Lyapunov and slack methods, the passive fault-tolerant flight controllers in the absence/presence of system uncertainty for actuator failure cases are designed, respectively. Case studies of an airplane under actuator failures are carried out to validate the effectiveness of the proposed approach     

基于鲁棒故障观测器的非线性离散系统容错控制设计

针对存在执行器故障以及未知干扰的非线性离散系统,提出了一种鲁棒故障估计与容错控制方法。首先在未知系统干扰作用下,设计鲁棒故障观测器实现系统状态和执行器故障的同步估计;然后根据鲁棒故障观测器得到的系统状态估计和故障估计信息设计容错控制器,进行状态反馈容错控制,同时基于D稳定与H_∞控制理论对鲁棒故障观测器和容错控制器进行设计,实现了多约束条件下的故障估计与容错控制;最后用飞行控制系统模型验证了所提方法的有效性。     

Spiking-free HGO-based DSC for flexible joint manipulator

The tracking control problem for Flexible Joint Manipulator Control System(FJMCS)with unmeasurable states is addressed in this paper. Firstly, a High-Gain Observer(HGO) is constructed to estimate the unmeasurable states and the uncertainties. Then, a Dynamic Surface Control(DSC) scheme is developed by using the estimation of HGO. The newly proposed controller has two advantages over the existing methods:(A) a novel Spike Suppression Function(SSF) is developed to avoid the estimation spike proble...     

Integrated active fault-tolerant control using IMM approach

An integrated fault detection, diagnosis, and reconfigurable control scheme based on interacting multiple model (IMM) approach is proposed. Fault detection and diagnosis (FDD) is carried out using an IMM estimator. An eigenstructure assignment (EA) technique is used for reconfigurable feedback control law design. To achieve steady-state tracking, reconfigurable feedforward controllers are also synthesized using input weighting approach. The developed scheme can deal with not only actuator and sensor faults, but also failures in, system components. To achieve fast and reliable fault detection, diagnosis, and controller reconfiguration, new fault diagnosis and controller reconfiguration mechanisms have been developed by a suitable combination of the information provided by the mode probabilities from the IMM algorithm and an index related to the closed-loop system performance. The proposed approach is evaluated using an aircraft example, and excellent results have been obtained     

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。