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对具有不确定性的高超声速飞行器在输入受限情况下的稳定控制问题,基于线性矩阵不等式(LMI)技术提出了一种具有指数收敛速率的控制器设计方法。将飞行器模型中的不确定性视为总和扰动,针对存在不确定性的输入受限系统给出了一种具有指数收敛速度的不变集条件,并利用LMI技术将控制器的设计问题转化为受限系统吸引域的最优化问题。仿真结果表明,在气动参数摄动和控制量存在饱和的情况下,本文设计的指数收敛控制器具有良好的动态特性和鲁棒性。
For the uncertain control of hypersonic vehicle with input limited, a controller design method with exponential convergence rate is proposed based on the linear matrix inequality (LMI) technique. Considering the uncertainties in the aircraft model as the total perturbation, an invariant set condition with exponential convergence rate is given for the input-constrained systems with uncertainties. The LMI technique is used to convert the controller design problem into Optimization problem of restricted system attracting domain. The simulation results show that the exponential convergence controller designed in this paper has good dynamic characteristics and robustness under the condition that the aerodynamic parameter perturbation and the control volume are saturated.