CAJ | 학술논문

针对超空泡航行体( HSSV)在巡航阶段会受到强非线性滑行力,且伴随噪声干扰等问题,提出一种基于时域绝对稳定性的鲁棒H∞绝对稳定控制器的综合方法. 利用backstepping方法,将原系统转化成子系统级联形式的跟踪模型,并在其基础上分析了滑行力的扇形区域条件. 考虑系统中存在噪声干扰的情况,利用Lyapunov理论结合滑行力的扇形区域条件,给出了线性矩阵不等式( LMI)约束形式的鲁棒H∞ 绝对稳定控制器综合方法. 仿真结果表明,所设计的鲁棒H∞绝对稳定控制器可以实现闭环系统的绝对稳定,同时在零初始条件下具有给定的H∞ 性能.
침대초공포항행체( HSSV)재순항계단회수도강비선성활행력,차반수조성간우등문제,제출일충기우시역절대은정성적로봉H∞절대은정공제기적종합방법. 이용backstepping방법,장원계통전화성자계통급련형식적근종모형,병재기기출상분석료활행력적선형구역조건. 고필계통중존재조성간우적정황,이용Lyapunov이론결합활행력적선형구역조건,급출료선성구진불등식( LMI)약속형식적로봉H∞ 절대은정공제기종합방법. 방진결과표명,소설계적로봉H∞절대은정공제기가이실현폐배계통적절대은정,동시재령초시조건하구유급정적H∞ 성능.
In cruise phase, high-speed supercavitating vehicles ( HSSV) face a strong nonlinear planing force and noise disturbance. To solve these problems, a synthesis method for robust H∞ absolute stability controller was pro-posed based on absolute stability in the time domain. The original system was transformed into a cascade connection of two subsystems. Then, based on the connection, the sector bounded conditions of the planing force were ana-lyzed. Next, in order to handle the noise disturbance, the method was included in the form of a linear matrix ine-quality, by applying Lyapunov theory together with the sector bounded conditions. Simulation results show that the closed-loop system can obtain absolute stability with the resulting controller, and simultaneously achieve the pre-scribed H∞performance under zero initial conditions.