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Static output feedback for takagi-sugeno systems: an lmi approach

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TLDR
Motivated by stability results developed for parallel distributed compensation (PDC) controller, an Output PDC (OPDC) controller that corresponds to a nonlinear static output feedback control law is proposed and stabilisation and poles placement are addressed.
Abstract
This paper studies the design of a static output feedback controller for nonlinear systems described by continuous-time Takagi-Sugeno (T-S) models Motivated by stability results developed for parallel distributed compensation (PDC) controller, an Output PDC (OPDC) controller that corresponds to a nonlinear static output feedback control law is proposed Both stabilisation and poles placement are addressed An example is given to illustrate the approach

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Citations
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Journal ArticleDOI

LMI Solution for Robust Static Output Feedback Control of Discrete Takagi–Sugeno Fuzzy Models

TL;DR: The proposed method uses the descriptor approach to study the stabilization problem of discrete-time Takagi-Sugeno (T-S) fuzzy systems via static output controller (SOFC) and leads to strict linear matrix inequality (LMI ) formulation.
Journal ArticleDOI

Robust H ∞ static output feedback stabilization of T-S fuzzy systems subject to actuator saturation

TL;DR: In this article, a set invariance condition for robust H∞ static output feedback stabilization of Takagi-Sugeno (T-S) fuzzy systems under actuator saturation is established and the estimation of the largest domain of attraction for the system is formulated and solved as a Linear Matrix Inequality (LMI) optimization problem.
Journal ArticleDOI

Static output feedback stabilization for fractional-order systems in T-S fuzzy models

TL;DR: This paper provides a direct linear matrix inequality method for the control design, which overcomes the drawback of two-step design approaches and avoids requiring special structures in design matrices.
Journal ArticleDOI

Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy

TL;DR: The proposed SOFC design conditions do not require any restrictions on the output equation and allow dealing with unmeasurable premise variables and to provide LMIs of less conservatism, the results are conducted in the non-quadratic framework.
Journal ArticleDOI

LMI static output-feedback design of fuzzy power system stabilizers

TL;DR: The proposed PSS design is based on parallel distributed compensation (PDC), and sufficient design conditions are derived as linear matrix inequalities (LMI) that leads to a tractable convex optimization problem in terms of the stabilizer gain matrix.
References
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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.
Journal ArticleDOI

An approach to fuzzy control of nonlinear systems: stability and design issues

TL;DR: The authors represent a nonlinear plant with a Takagi-Sugeno fuzzy model with a model-based fuzzy controller design utilizing the concept of the so-called "parallel distributed compensation" and presents a design methodology for stabilization of a class of nonlinear systems.
Journal ArticleDOI

Stability analysis and design of fuzzy control systems

TL;DR: The fuzzy block diagrams and the stability analysis are applied to the design problems of a model-based fuzzy controller and a new design technique of a fuzzy controller is proposed.
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