CAJ | 학술논문

研究了一类不确定广义系统的有限时间终端滑模控制问题.通过非奇异线性变换将不确定广义系统转换成受限等价形式,利用Liapunov函数的方法,提出一种有限时间终端滑模控制策略,给出相应的终端滑模超曲面和终端滑模控制律,得闭环系统渐近稳定,现了滑模运动,保证了在滑模面上系统状态变量在有限时间内到达平衡点.给出了相应的数值算例,说明了设计的可行性和有效性.
연구료일류불학정엄의계통적유한시간종단활모공제문제.통과비기이선성변환장불학정엄의계통전환성수한등개형식,이용Liapunov함수적방법,제출일충유한시간종단활모공제책략,급출상응적종단활모초곡면화종단활모공제률,득폐배계통점근은정,현료활모운동,보증료재활모면상계통상태변량재유한시간내도체평형점.급출료상응적수치산례,설명료설계적가행성화유효성.
The finite-time terminal sliding mode control for a class of uncertain singular systems is studied. The uncertain singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation. And then by the method of Liapunov function, a finite-time terminal sliding mode control strategy is proposed. A terminal sliding mode hypersurface and a controller are given correspondingly such that the asymptotic stability of the closed-loop system is guaranteed, the motion of sliding mode is realized, and the system state variables can converge to the equilibrium point in finite time. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the design.