In this paper, the variable structure control problem is presented for Takagi-Sugeno fuzzy systems with uncertainties and external disturbances. The sliding surfaces for the T-S fuzzy system are proposed by using a Lyapunov function and a fuzzy Lyapunov function, respectively. And we design the variable structure controllers such that the global T-S fuzzy system confined on the sliding surfaces is asymptotically stable. Two examples are given to illustrate the effectiveness of our proposed methods.
- Fuzzy system
- Linear matrix inequality (LMIs)
- Nonlinear system
- Sliding mode control
- Variable structure control