Match Point Solution for Robust Flutter Analysis in Constant-Mach Prediction

This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere model are approximated as the polynomial function of altitude, such that the flight altitude becomes the single perturbation variable that describes the aeroelastic system. The uncertainties of generalized stiffness and damping are considered and the uncertain aeroelastic system can be formulated as linear fractional transformation （LFT） representation which is suitable for/.t analysis framework. Finally, the match point solutions of robust flutter margins can be computed with structured singular value （SSV） theory. The robust flutter analysis method provided in this paper is suitable for constant-Mach flight flutter test and provides valuable reference for flight envelope expansion.     

磁悬浮球系统的一种非线性控制方法研究

介绍了磁悬浮球系统的数学模型,并构造了一种非线性状态观测器;其次,设计了一种非线性PID控制器对误差进行控制;最后,应用MATLAB工具对闭环系统进行了仿真。仿真结果表明,该非线性PID控制器可以改善系统响应的品质,实现快速无超调调节效果,并且控制器的参数可以在较大范围变化,具有较强的鲁棒性。     

非线性不确定系统的鲁棒自适应控制方法研究及稳定性分析

针对一类存在外界干扰和未建模动态的非线性不定系统,特别是含线性定常的参数不确定性及状态关联的非线性不确定性系统,应用直接自适应控制方法,设计了基于李雅普诺夫稳定性理论的鲁棒自适应控制律和修正律;应用李雅普诺夫稳定判据,对系统的稳定性进行了分析,证明所设计的控制律和修正律具有较强的鲁棒稳定性。     

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.     

分数阶不确定混沌系统鲁棒投影同步控制

基于滑模变结构控制理论,选取了一种分数阶滑模面,针对分数阶系统不确定项上界已知情况,提出了一种鲁棒控制方法,将这种控制方法与范数不等式相结合对系统的稳定性进行了分析。该控制器能够很好地抑制不确定因素对误差系统的影响,能够快速实现驱动系统与响应系统的同步。最后,将该鲁棒控制策略应用于分数阶混沌系统数字保密通信中,数值仿真验证了该方案的正确性和有效性。