- 期刊
A New Relaxed Stability Condition for Takagi-Sugeno Fuzzy Control Systems Using Quadratic Fuzzy Lyapunov Functions and Staircase Membership Functions
並列摘要
This paper presents a new relaxed stability condition for Takagi-Sugeno (T-S) fuzzy control systems. Using quadratic fuzzy Lyapunov functions (QFLFs), the stability of closed-loop control system is guaranteed by the negative definiteness of several fuzzy summations. However, since the membership functions are continuous, the negative definiteness of these fuzzy summations implies an infinite number of linear matrix inequalities (LMIs), which cannot be solved directly by conventional convex optimization methods. To handle this problem, Staircase Membership Functions (SMFs) are employed to convert the infinite number of LMIs into a finite one. At the same time, the information of membership functions is brought into stability analysis, which substantially relaxes the proposed stability condition. The efficiency of the presented approach is demonstrated by using two simulation examples.
延伸閱讀
- Lee, C. H., & Chang, F. Y. (2011). Interval Type-2 Recurrent Fuzzy Neural System for Nonlinear Systems Control Using Stable Simultaneous Perturbation Stochastic Approximation Algorithm. Mathematical Problems in Engineering, 2011(), 12-32-001. https://doi.org/10.1155/2011/102436
- Tsai, T. H. (2016). A Takagi-Sugeno Fuzzy Neural Network-based Algorithm with Single-Channel EEG Signal for the Discrimination between Light and Deep Sleep Stage [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU201600538
- Xing, S., Zhang, Q., & Zhang, Y. (2013). Finite-Time Stability Analysis and Control for a Class of Stochastic Singular Biological Economic Systems Based on T-S Fuzzy Model. Abstract and Applied Analysis, 2013(), 119-128-1313. https://doi.org/10.1155/2013/946491
- Tsai, P. S., Wu, T. F., Hu, N. T., & Chen, J. Y. (2017). Takagi-Sugeno-Kang Fuzzy Controller Design for Nonlinear Systems Using the Scaling Gain Adaptation. 電腦學刊, 28(4), 114-121. https://doi.org/10.3966/199115592017082804012
- Hsu, C. L. (2011). DSP Implementation of Takagi-Sugeno Fuzzy Cerebellar Model Articulation Controller For Sensorless Wind Power Generating Systems [master's thesis, Tamkang University]. Airiti Library. https://doi.org/10.6846/TKU.2011.00390