控制理论与应用
控製理論與應用
공제이론여응용
CONTROL THEORY & APPLICATIONS
2000年
3期
367-373
,共7页
不确定线性系统%混合H2/H∞控制%输出反馈%代数Riccati方程%鲁棒性
不確定線性繫統%混閤H2/H∞控製%輸齣反饋%代數Riccati方程%魯棒性
불학정선성계통%혼합H2/H∞공제%수출반궤%대수Riccati방정%로봉성
uncertain linear systems%mixed H2/H∞ control%output-feedback%algebraic Riccati equation%robustness
解决了在系统状态空间模型的状态与输出矩阵中含有范数有界参数不确定线性系统的混合H2/H∞鲁棒输出反馈控制问题.所推导的满阶控制器对于所有可容许的参数不确定都能满足给定的H∞干扰衰减水平,且为最坏情形H2代价函数提供了一个最优的上界.所得的结果需要求解一个含有尺度参数的修正代数Riccati方程以及三个含有尺度参数的交叉耦合非线性方程.而且,也给出了一个求解这些含有尺度参数非线性方程的数值算法.
解決瞭在繫統狀態空間模型的狀態與輸齣矩陣中含有範數有界參數不確定線性繫統的混閤H2/H∞魯棒輸齣反饋控製問題.所推導的滿階控製器對于所有可容許的參數不確定都能滿足給定的H∞榦擾衰減水平,且為最壞情形H2代價函數提供瞭一箇最優的上界.所得的結果需要求解一箇含有呎度參數的脩正代數Riccati方程以及三箇含有呎度參數的交扠耦閤非線性方程.而且,也給齣瞭一箇求解這些含有呎度參數非線性方程的數值算法.
해결료재계통상태공간모형적상태여수출구진중함유범수유계삼수불학정선성계통적혼합H2/H∞로봉수출반궤공제문제.소추도적만계공제기대우소유가용허적삼수불학정도능만족급정적H∞간우쇠감수평,차위최배정형H2대개함수제공료일개최우적상계.소득적결과수요구해일개함유척도삼수적수정대수Riccati방정이급삼개함유척도삼수적교차우합비선성방정.이차,야급출료일개구해저사함유척도삼수비선성방정적수치산법.
The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.
