Time-varying increasing-gain observers for nonlinear systems
Time-varying increasing-gain observers for nonlinear systems
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DOI：
10.1016/j.automatica.2013.05.026
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发表时间：
2013-09
期刊：
影响因子：
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通讯作者：
A. Alessandri;A. Rossi
中科院分区：
文献类型：
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作者：
A. Alessandri;A. Rossi
提出了一类非线性连续时间系统的全阶状态观测器，它是对具有时变增益的高增益观测器的推广，该时变增益在第一时间瞬间很小，随着时间的推移增加到最大值，然后保持恒定。通过变换坐标的Lyapunov泛函证明了估计误差的全局稳定性。该观测器的设计是通过求解非线性规划问题，利用级数展开设置时变增益来实现的。
A full-order state observer for a class of nonlinear continuous-time systems is presented as generalization of the high-gain observer for having a time-varying gain that is let to be small in the first time instants, increases over time up to its maximum, and then is kept constant. The global stability of the resulting estimation error is proved by means of a Lyapunov functional via a change of coordinate. The design of such an observer is obtained by solving a nonlinear programming problem and using series expansions to set the time-varying gain.