高超声速飞行器轨迹跟踪控制仿真研究

针对高超声速飞行器纵向模型的快时变、强耦合和高度非线性的特点,在考虑模型不确定性的情况下,采用李导数的方法对某型高超声速飞行器进行输入输出的精确线性化。基于线性化后的模型,提出一种非线性动态逆控制的方法,并对其稳定性进行分析,实现对该型高超声速飞行器的轨迹跟踪控制。并利用Matlab搭建仿真平台,仿真结果显示仿真平台的正确性和控制算法的有效性。     

离散模糊时滞系统的鲁棒LQ/H∞非脆弱控制

针对一类由T-S模糊模型描述的不确定离散非线性时滞系统,讨论其在控制器存在可加性摄动情形下的鲁棒LQ/H_∞非脆弱控制问题。通过构造适当的Lyapunov函数,给出以线性矩阵不等式形式表示的系统时滞依赖稳定的充分条件以及相应的鲁棒LQ/H_∞非脆弱控制器设计方法。数值仿真表明,所构造的控制器不仅能够保证闭环模糊时滞系统的鲁棒渐近稳定性,还能使系统达到一定的H_∞干扰抑制水平。     

线性不确定随机系统时滞相关的H∞滤波

研究了一类带有时变状态时滞和参数不确定性的连续时间线性随机系统的鲁棒H_∞滤波问题。目的是设计一个线性滤波器使滤波误差动态系统是指数均方稳定的,并满足给定的H_∞性能指标。应用描述符系统模型转换,建立了新的Lyapunov-Krasovskii 函数。通过引入自由加权矩阵,消除了Lyapunov矩阵和系统矩阵的乘积项,从而无需在滤波器设计过程中对Lyapunov矩阵作任何约束,这在很大程度上降低了滤波器设计的保守性。基于LMI方法,针对精确已知随机系统和带有结构不确定性的随机系统,分别提出了时滞相关的鲁棒H_∞滤波器存在的充分性条件。仿真结果表明所提出的设计方法是有效的。     

高超声速滑翔飞行器动态逆解耦跟踪控制方法研究

针对临近空间高超声速滑翔飞行器再入段俯仰偏航以及滚动三通道运动存在非线性耦合严重的情况,建立了高超声速滑翔飞行器的多变量强耦合非线性时变倾斜转弯控制模型,提出了一种将过载控制转化为所需迎角侧滑角及滚转角误差的三通道联合跟踪控制方法,根据高超声速滑翔飞行器制导回路快速性的动态性能要求,设计了一种基于非线性动态逆及状态反馈的解耦综合控制器,闭环仿真结果表明该方法能够实现三通道运动解耦控制和制导指令跟踪,满足系统动态性能的要求。     

基于T-S模糊模型的网络控制系统鲁棒H∝容错控制

针对同时存在网络时延和数据包丢失的网络环境,研究了执行器故障下一类非线性网络控制系统的鲁棒H_∞容错控制问题。基于不确定T-S模糊模型描述的非线性网络控制系统模型,考虑了更实际、更常见的执行器部分失效情况。通过引入一个积分不等式,获得了此类系统的时滞相关鲁棒稳定性条件,且采用锥补线性化算法给出了此类系统的鲁棒H_∞容错控制器设计方法。仿真算例表明,对于任意容许的不确定性以及执行器故障,所设计的控制器能使系统鲁棒渐近稳定,且具有H_∞范数界。       

基于LMI的滑翔式飞行器鲁棒H∞时滞控制

滑翔式飞行器是一类存在参数不确定性和外部扰动的非线性系统,研究了该类对象的鲁棒H_∞控制问题。采用对原系统方程部分线性化的方法,得到滑翔式飞行器的状态空间描述形式。在系统中的非线性部分满足Lipschitz条件约束下,考虑舵机特性等引起的时滞,利用Lyapunov稳定性理论,得到了系统鲁H_∞控制器存在的充分条件。通过求解线性矩阵不等式(linear matrix inequality, LMI)的可行解问题,得到H_∞控制器的参数化表达式。仿真结果表明,当存在参数不确定以及外部扰动时,系统能够保持较强的鲁棒稳定性,同时设计的控制器对干扰有较好的抑制作用。     

高超飞行器自适应动态规划的控制系统设计

针对高超声速飞行器的控制问题,提出一种基于自适应动态规划的非线性优化学习控制方法,设计了速度和高度自适应控制系统.首先,将控制器分解为稳态控制项和最优反馈控制项,同时借助反步法,将原高超声速动力学模型转化为兼顾速度跟踪误差和高度跟踪误差的统一的误差控制模型.其次,利用自适应动态规划法,通过自适应调节评价网络的权值,设计...     

再入轨迹跟踪控制的非线性方法研究

针对高度变化大,速度变化快的可重复使用飞行器的再入轨迹跟踪问题,选用名为状态相关Riccati方程的一种新型非线性控制方法进行再入轨迹跟踪控制器设计.同时在几乎所有涉及Riccati方程的控制器设计问题中,合适的加权矩阵的选择通常是比较棘手的.针对这个问题,提出了一种有效的权阵选择方法,避免了试凑等传统方法带来的误差和工作量.随后给出了最优再入轨迹跟踪控制器的详细设计过程,并在一定的气动摄动条件下进行飞行仿真.仿真结果表明了这种方案的可行性,实用性和鲁棒性.     

基于Backstepping的高超声速飞行器鲁棒自适应控制

针对非线性、多变量、不稳定且包含不确定参数的高超声速飞行器模型,设计了高超声速飞行器的鲁棒自适应Backstepping控制器。采用指令滤波的设计方法,得到内回路的跟踪指令及其一阶微分信号,避免了虚拟控制信号需要进行复杂求导计算的困难。飞行器不确定参数采用自适应律在线调整,通过设计辅助滤波系统,并通过修改自适应律中跟踪误差的定义,消除由于期望控制信号不能完全执行所引起的跟踪误差的影响,保证了参数估计在控制信号约束情况下的顺利进行。仿真结果表明,所提出的设计方法不仅应用简单,且能保证高超声速飞行器在不确定参数存在情况下的闭环稳定及良好的跟踪控制性能。     

基于强跟踪滤波器的再入飞行器制导律设计

研究了气动模型存在误差情况下高超声速再入机动飞行器的制导律设计问题。首先用强跟踪滤波器对气动参数进行估计,然后根据估计值与标称值的偏差对攻角和倾斜角进行修正,最后对原始非线性方程沿着标称轨道线性化得到线性偏差方程,并利用线性二次型最优调节器原理设计控制律。仿真结果表明所设计的制导律可以大幅度减小由于气动模型误差而引起的落点偏差。     

离散模糊双线性关联大系统的广义H2分散控制

基于分段二次Lyapunov函数稳定性理论,研究了一类离散模糊双线性关联大系统广义H₂分散控制问题。模糊双线性关联大系统由J个相互关联的离散T-S模糊双线性系统组成。通过构造分段Lyapunov函数,给出了系统二次稳定的充分性条件。在此基础上,设计了广义H₂分散状态反馈控制器,使闭环系统广义H₂稳定,控制器的设计可以通过序列线性规划矩阵方法求解得到。仿真结果表明所提方法的有效性。     

Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems

The robust H∞ control problem of norm bounded uncertain discrete Takagi-Sugeno (T-S) fuzzy systems with state delay is addressed. First, by constructing an appropriate basis-dependent Lyapunov-Krasovskii function, a new delay-dependent sufficient condition on robust H∞-disturbance attenuation is presented, in which both robust stability and prescribed H∞ performance are guaranteed to be achieved. Then based on the condition, a delay-dependent robust H∞ controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.     

Soft initial-rotation and H∞ robust constant rotational speed control for rotational MEMS gyro

A novel soft initial-rotation control system and an H∞ robust constant rotational speed controller (RCRSC) for a rotational MEMS (micro-electro-mechanical system) gyro are presented. The soft initial-rotation control system can prevent the possible tumbling down of the suspended rotor and ensure a smooth and fast initial-rotation process. After the initial-rotation process, in order to maintain the rotational speed accurately constant, the RCRSC is acquired through the mixed sensitivity design approach. Simulation results show that the actuation voltage disturbances from the internal carrier waves in the gyro is reduced by more than 15.3 dB, and the speed fluctuations due to typical external vibrations ranging from 10 Hz to 200 Hz can also be restricted to 10−3 rad/s order.     

Robust H∞ controller design for sampled-data systems with parametric uncertainties

This article investigates the problem of robust H∞ controller design for sampled-data systems with time-varying norm-bounded parameter uncertainties in the state matrices. Attention is focused on the design of a causal sampled-data controller, which guarantees the asymptotical stability of the closed-loop system and reduces the effect of the disturbance input on the controlled output to a prescribed H∞ performance bound for all admissible uncertainties. Sufficient condition for the solvability of the problem is established in terms of linear matrix inequalities (LMIs). It is shown that the desired H∞ controller can be constructed by solving certain LMIs. An illustrative example is given to demonstrate the effectiveness of the proposed method.     

RLV末端能量管理段三维制导轨迹推演研究

研究了重复使用运载器(reusable launch vehicle, RLV)末端能量管理段(terminal area energy management, TAEM)三维制导轨迹推演算法。根据初始点和终点的位置、航向、动压,规划动压参考剖面和横侧向参考轨迹,采用基于高度的质点动力学方程推演生成符合过载、动压、终点位置和航向约束条件的三维制导轨迹。横侧向参考轨迹的设计可以分成两步：第一步,消除横向的位置误差,同时减小纵向的位置误差;第二步,消除纵向的位置误差。根据纵向位置误差大小,组合使用三种模态的轨迹予以消除,节省了计算量。仿真计算显示,三维制导轨迹推演算法具有快速、准确、对初始点位置和航向分布鲁棒性强的特点,为在线轨迹设计提供了基础算法。     

Robust H∞ control for neutral stochastic uncertain systems with time-varying delay

The problem of robust H∞ control for uncertain neutral stochastic systems with time-varying delay is discussed. The parameter uncertaintie is assumed to be time varying norm-bounded. First, the stochastic robust stabilization of the stochastic system without disturbance input is investigated by nonlinear matrix inequality method. Then, a full-order stochastic dynamic output feedback controller is designed by solving a bilinear matrix inequality (BMI), which ensures a prescribed stochastic robust H∞ performance level for the resulting closed loop system with nonzero disturbance input and for all admissible uncertainties. An illustrative example is provided to show the feasibility of the controller and the potential of the proposed technique.     

Delay-dependent robust H∞ control of convex polyhedral uncertain fuzzy systems

The robust H∞ control problem for a class of uncertain Takagi-Sugeno fuzzy systems with timevarying state delays is studied. The uncertain parameters are supposed to reside in a polytope. Based on the delay-dependent Lyapunov functional method, a new delay-dependent robust H∞ fuzzy controller, which depends on the size of the delays and the derivative of the delays, is presented in term of linear matrix inequalities （LMIs）. For all admissible uncertainties and delays, the controller guarantees not only the asymptotic stability of the system but also the prescribed H∞ attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.     

Fault-tolerant control of linear uncertain systems using H∞ robust predictive control

The robust fault-tolerant control problem of linear uncertain systems is studied. It is shown that a solution for this problem can be obtained from a H∞ robust predictive controller （RMPC） by the method of linear matrix inequality （LMI）. This approach has the advantages of both H∞ control and MPC： the robustness and ability to handle constraints explicitly. The robust closed-loop stability of the linear uncertain system with input and output constraints is proven under an actuator and sensor faults condition. Finally, satisfactory results of simulation experiments verify the validity of this algorithm.     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process can be described by a two-state Markov chain. The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes. The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality. The state feedback controller can be constructed via the solution of a set of linear matrix inequalities. An example is given to verify the effectiveness of the method proposed.