Satisfactory estimation of linear discrete periodic systems
中文摘要
针对线性离散周期系统的状态估计问题,运用提升原理提取期望极点指标,同时期望估计误差系统满足稳态误差方差/H∞混合指标,采用代数Riccati矩阵不等式法与数值递推算法对误差系统进行了上述指标的满意估计设计,并根据满意控制的基本理论将上述满意估计问题转化为线性矩阵不等式(LMI)的线性规划问题,从而运用LMI技术求解并设计了可行的满意估计,数值算例验证了相关算法.; The state estimation is studied for linear discrete-time periodic systems.Regional pole index for the (periodic) estimation error system is brought up through lifting technique and the other indices of steady state error covariance and (H-infinity) for the periodic error systems are required at the same time.On the basis of satisfactory control theory,a satisfactory (estimator) for the periodic error system with the above three requirements can be designed by using algebra Riccati matrix inequality and numerical recursion algorithm and this problem of satisfactory estimation can be converted into linear programming problems by linear matrix inequalities (LMI) technique and then a feasible satisfactory estimating sketch is achieved by using LMI tool.(Finally) a numeric example checks the above sketch and approach.; 国家自然科学基金资助项目(60174028); 国家十五兵器预研基金资助项目(BZJ040202).
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