Finite-time Peak-to-peak Gain Minimization
- Resource Type
- Article
- Authors
- Honghai Wang; Chunling Wang; Yang Zheng; Zihong Chen; Shuping He
- Source
- International Journal of Control, Automation, and Systems, 17(2), pp.319-326 Feb, 2019
- Subject
- 제어계측공학
- Language
- English
- ISSN
- 2005-4092
1598-6446
The finite-time peak-to-peak filtering problem is studied for a class of linear dynamic systems. By reconstructingthe system, the dynamic filtering error system is obtained. Our aim is to design a peak-to-peak filtersuch that the induced L∞ gain from the unknown disturbance to the estimated errors is minimized with respect tothe finite-time interval. By using a proper Lyapunov function, sufficient conditions are established on the existenceof peak-to-peak filter which also guarantees the finite-time boundedness of the filtering error dynamic systems. Thedesign criteria are presented in the form of linear matrix inequalities and then described as an optimization problem. Simulation results are given to illustrate the validity of the proposed approaches.