A multiple Lyapunov function approach to stabilization of fuzzy control systems

By Kazuo Tanaka, T. Hori, Hua O. Wang. IEEE transactions on fuzzy systems, 2003

993 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ae93d816819d4a6a6e18eb09bbb51218a97441a7

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Citations in the corpus

Fuzzy Control Systems: Past, Present and Future (2019, background): “Consider a simple example of FLFs depending explicitly on MFs as follows [31]: whose time-derivative is given by Remark 3.”
Robust Observer Design for Unknown Inputs Takagi–Sugeno Models (2013, background): “Unfortunately, all of these studies concern T–S fuzzy models with known inputs (see, for example, [11], [12], and [14]).”
Review on computational methods for Lyapunov functions (2015, methodology): “Tanaka, Hori, and Wang 2003 [219] used LMIs to compute fuzzily blended quadratic Lyapunov functions for Takagi-Sugeno fuzzy systems and Faria, Silva, and Oliveira 2013 [74] elaborated on this approach.”
Stabilization of controlled positive discrete‐time T‐S fuzzy systems by state feedback control (2010, methodology): “Relaxed LMIs by PDC This technique was presented for continuous-time T-S systems in [3], using a common Lyapunov function, and [2], using a multiple one.”
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems (2006, background): “The fifth category of methods has attracted some attention recently but it presents more challenges or difficulties [60], [98], [266], [307], [347].”
A systematic approach to improve multiple Lyapunov function stability and stabilization conditions for fuzzy systems (2009, methodology): “Numerical examples illustrate the improvement over previous results [26,33].”
A new fuzzy Lyapunov function approach for a Takagi-Sugeno fuzzy control system design (2006, methodology): “The stability-guaranteed region of the fuzzy Lyapunov function approach in [11]: (a) |dhi/dt | 0.”
A Descriptor System Approach to Fuzzy Control System Design via Fuzzy Lyapunov Functions (2007, methodology): “With regard to relax the conservativeness of stability and stabilization problems using Lyapunov approach, recently piecewise or switched Lyapunov function approaches [23]–[26] have received increasing attention.”