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Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach

Kazuo Tanaka, +1 more
TLDR
Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.
Abstract
From the Publisher: A comprehensive treatment of model-based fuzzy control systems This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications. Issues that have not been fully treated in existing texts, such as stability analysis, systematic design, and performance analysis, are crucial to the validity and applicability of fuzzy control methodology. Fuzzy Control Systems Design and Analysis addresses these issues in the framework of parallel distributed compensation, a controller structure devised in accordance with the fuzzy model. This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field. Fuzzy Control Systems Design and Analysis offers an advanced treatment of fuzzy control that makes a useful reference for researchers and a reliable text for advanced graduate students in the field.

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Citations
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Journal ArticleDOI

A multiple Lyapunov function approach to stabilization of fuzzy control systems

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.
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Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy Approach

TL;DR: This paper deals with the adaptive sliding-mode control problem for nonlinear active suspension systems via the Takagi-Sugeno (T-S) fuzzy approach, and a sufficient condition is proposed for the asymptotical stability of the designing sliding motion.
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Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: Applications of Polya's theorem

TL;DR: The result provides a set of progressively less conservative sufficient conditions for proving positivity of fuzzy summations of Polya's theorems on positive forms on the standard simplex.
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Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault

TL;DR: The Takagi-Sugeno (T-S) fuzzy model approach is adapted with the consideration of the sprung and the unsprung mass variation, the actuator delay and fault, and other suspension performances to design a reliable fuzzy H∞ controller for active suspension systems with actuatordelay and fault.
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.
References
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A and V.

Journal ArticleDOI

Fuzzy identification of systems and its applications to modeling and control

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

A comprehensive introduction to differential geometry

TL;DR: Spivak's comprehensive introduction to differential geometry as discussed by the authors takes as its theme the classical roots of contemporary differential geometry, and explains why it is absurdly inefficient to eschew the modern language of manifolds, bundles, forms, etc., which was developed precisely to rigorize the concepts of classical differential geometry.
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Continuous control of chaos by self-controlling feedback

TL;DR: In this paper, the stabilization of unstable periodic orbits of a chaotic system is achieved either by combined feedback with the use of a specially designed external oscillator, or by delayed self-controlling feedback without using of any external force.
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