Journal ArticleDOI
On stability of fuzzy systems expressed by fuzzy rules with singleton consequents
TLDR
Stability theorems for a discrete-time system as well as for a continuous time system are given and a brief survey on the stability issues of fuzzy control systems is given.Abstract:
Addresses the issue of stability of a fuzzy system described by fuzzy rules with singleton consequents. It first presents two canonical forms of a fuzzy system: a parametric expression and a state-space expression. A fuzzy system with singleton consequents is found to be a piecewise-polytopic-affine system. Then the paper gives stability theorems for a discrete-time system as well as for a continuous time system. It also gives a brief survey on the stability issues of fuzzy control systems.read more
Citations
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Journal ArticleDOI
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
TL;DR: A survey on recent developments (or state of the art) of analysis and design of model based fuzzy control systems based on the so-called Takagi-Sugeno fuzzy models or fuzzy dynamic models.
Journal ArticleDOI
A multiple Lyapunov function approach to stabilization of fuzzy control systems
Kazuo Tanaka,T. Hori,Hua O. Wang +2 more
TL;DR: To take full advantage of a fuzzy Lyapunov function, a new parallel distributed compensation (PDC) scheme is proposed that feedbacks the time derivatives of premise membership functions.
Journal ArticleDOI
Survey paper: A survey on industrial applications of fuzzy control
TL;DR: A survey on recent developments of analysis and design of fuzzy control systems focused on industrial applications reported after 2000 is presented.
Journal ArticleDOI
A Sum-of-Squares Approach to Modeling and Control of Nonlinear Dynamical Systems With Polynomial Fuzzy Systems
TL;DR: The proposed sum of squares (SOS) approach for modeling and control of nonlinear dynamical systems using polynomial fuzzy systems is presented, and the derived stability and stabilizability conditions are represented in terms of SOS and can be numerically solved via the recently developed SOSTOOLS.
Journal ArticleDOI
Lane-Change Fuzzy Control in Autonomous Vehicles for the Overtaking Maneuver
TL;DR: This paper presents an overtaking system for autonomous vehicles equipped with path-tracking and lane-change capabilities that uses fuzzy controllers that mimic human behavior and reactions during overtaking maneuvers.
References
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Journal ArticleDOI
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Journal ArticleDOI
An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller
E.H. Mamdani,S. Assilian +1 more
TL;DR: Fuzzy logic is used to convert heuristic control rules stated by a human operator into an automatic control strategy, and the control strategy set up linguistically proved to be far better than expected in its own right.
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Fuzzy identification of systems and its applications to modeling and control
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