CAJ | 학술논문

研究了不确定奇异分数阶系统的鲁棒稳定和镇定问题。在该系统里，状态矩阵的不确定参数通常假定为时不变和范数有界的。首先设计一个可预测的控制器使得不确定奇异分数阶正则；然后设计一个输出反馈控制器使得正则后的系统稳定，这样可以得到当分数阶阶次在[1，2）时系统鲁棒渐近稳定的充分条件；最后通过一个数值仿真证明了该方法的有效性。
연구료불학정기이분수계계통적로봉은정화진정문제。재해계통리，상태구진적불학정삼수통상가정위시불변화범수유계적。수선설계일개가예측적공제기사득불학정기이분수계정칙；연후설계일개수출반궤공제기사득정칙후적계통은정，저양가이득도당분수계계차재[1，2）시계통로봉점근은정적충분조건；최후통과일개수치방진증명료해방법적유효성。
The robust stability and stabilization of uncertain descriptor fractional‐order systems are investigated .In such systems parameter uncertainty is assumed to be time‐invariant and norm‐bounded in the state matrix .First ,a predictive controller was used to regularize the uncertain descriptor fractional‐order systems , and then an output feedback controller was designed to stabilize the regularized system .The sufficient conditions for robustly stabilizing such systems with the fractional order alpha in [1 ,2) are derived .Finally ,a numerical example is provided to demonstrate the effectiveness of the proposed approach .