Robust Exponential $$H_{\infty }$$ H ∞ Filtering for Discrete-Time Switched Fuzzy Systems with Time-Varying Delay
- Resource Type
- Authors
- Gang Wang; Hongbin Zhang; Xie Rongqiang; Chuangyin Dang; Guanjie Yu
- Source
- Circuits, Systems, and Signal Processing. 35:117-138
- Subject
- 0209 industrial biotechnology
Applied Mathematics
02 engineering and technology
Fuzzy control system
Filter (signal processing)
Fuzzy logic
Exponential function
Filter design
020901 industrial engineering & automation
Discrete time and continuous time
Exponential stability
Computer Science::Systems and Control
Control theory
Signal Processing
0202 electrical engineering, electronic engineering, information engineering
Piecewise
020201 artificial intelligence & image processing
Mathematics
- Language
- ISSN
- 1531-5878
0278-081X
This paper considers $$H_{\infty }$$H? filtering of discrete-time uncertain switched nonlinear systems with time-varying delay via Takagi---Sugeno fuzzy model which is used to approximate each nonlinear subsystem. Fuzzy piecewise Lyapunov---Krasovskii functionals and average dwell time approaches are utilized for the exponential stability analysis and $$H_{\infty }$$H? filter design. A new sufficient condition is obtained to guarantee the exponential stability with a prescribed $$H_{\infty }$$H? performance index for the filtering error system. Filter parameter matrices can be obtained by solving sets of linear matrix inequalities. An example of an uncertain single-link robot arm is given to demonstrate the effectiveness of the proposed method.