H∞ state feedback controller design for discrete-time 2D switched systems
- Resource Type
- Conference
- Authors
- Gao, Wenjun; Yang, Yang; Duan, Hongtao
- Source
- 2019 3rd International Conference on Electronic Information Technology and Computer Engineering (EITCE) Electronic Information Technology and Computer Engineering (EITCE), 2019 3rd International Conference on. :1382-1386 Oct, 2019
- Subject
- Computing and Processing
Robotics and Control Systems
Signal Processing and Analysis
Two dimensional displays
Switched systems
State feedback
Switches
Performance analysis
Attenuation
Symmetric matrices
2D switched systems
H∞ performance
Asymptotically stable
- Language
This paper investigates the state feedback robust H ∞ stabilization problem for a class of discrete time 2D(two- dimensional) switched systems represented by the Fornasini- Marchesini (FM) model. First, sufficient conditions for the asymptotically stable and weighted H ∞ disturbance attenuation performance of the underlying system are derived via the common Lyapunov function method. Furthermore, based on the obtained results, state feedback controller is proposed to guarantee that the resulting closed-loop system is asymptotically stable and has a prescribed disturbance attenuation level γ. All results are expressed in terms of linear matrix inequalities (LMI). The effectiveness of this method is verified by a numerical example.