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考虑一类已知状态和测量时滞且范数有界参数不确定连续时间系统的鲁棒H∞ 状态估计问题 .这个问题解的充分条件由二个代数Riccati不等式给出 ,它可以保证存在一个渐近稳定状态估计器使得对于所有不确定性从外界干扰到输出估计误差的传递函数满足指定的H∞ 指标 .以上这些结果可以推广到一类未知状态和测量时滞且范数有界参数不确定连续系统的鲁棒H∞ 状态估计问题 ,对于已知状态和测量时滞系统 ,所得状态估计器与参数不确定性无关 ,而与时滞有关 .对于未知状态和测量时滞系统 ,其状态估计器不仅与参数不确定性无关 ,而且与时滞也无关 .
Consider a class of robust H∞ state estimation problems for a class of continuous-time systems with known and measured time-delays and uncertain norm-bounded parameters. Sufficient conditions for the solution of this problem are given by two algebraic Riccati inequalities that guarantee the existence of one The asymptotic steady state estimator satisfies the specified H∞ index for the transfer function of all the uncertainties from the outside world to the output estimation error.The above results can be generalized to a class of unknown states and measurement delays and the norm bounded parameter is not The robust H∞ state estimation problem for continuous systems is determined, and for the known state and time-delay systems, the resulting state estimator is independent of the parameter uncertainty and time-dependent. For unknown states and time-delay systems, the state The estimator is not only irrelevant to the parameter uncertainty but also to the time delay.