Proceedings Article10.1109/NAFIPS.1999.781677
Nonlinear predictive control using fuzzy models and semidefinite programming
Jairo Espinosa,Joos Vandewalle +1 more
- 01 Jan 1999
- pp 174-178
3
TL;DR: The paper presents the first steps towards a theory to build robust nonlinear predictive control based on fuzzy models to write the predictive control problem as a robust optimization problem and apply semidefinite programming to solve the optimization in an efficient way.
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Abstract: The paper presents the first steps towards a theory to build robust nonlinear predictive control based on fuzzy models. The main idea behind this theory is to write the predictive control problem as a robust optimization problem and apply semidefinite programming to solve the optimization in an efficient way. The information about the plant behavior and its uncertainties is provided by the fuzzy model.
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Citations
Robust Energy Management System Based on Interval Fuzzy Models
TL;DR: A scenario-based robust EMS is proposed that is robust against any realization of the uncertain variables inside the intervals defined by the fuzzy models, and the original robust optimization problem is transformed into an equivalent second-order cone programming problem.
51
The use of convex programming on fuzzy model based predictive control
Jairo Espinosa,Joos Vandewalle +1 more
- 01 Jan 1999
TL;DR: The paper shows how the Takagi-Sugeno description of a fuzzy model can be very efficient to formulate the uncertainties and explains how a robust model predictive control strategy can be formulated by using this formulation.
5
Design of a supervisory predictive controller based on fuzzy models
Doris Saez,Aldo Cipriano +1 more
- 02 Dec 2001
TL;DR: Fuzzy modelling is used to represent the non-linearity of the process and two alternative fuzzy predictors are described in order to solve the optimisation problem at the supervisory level.
3
References
Applications of second-order cone programming
TL;DR: In this paper, an efficient primal-dual interior-point method for solving second-order cone programs (SOCP) is presented. But it is not a generalization of interior point methods for convex problems.
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Robust Solutions to Uncertain Semidefinite Programs
TL;DR: This paper shows how to formulate sufficient conditions for a robust solution to exist as SDPs, and provides sufficient conditions which guarantee that the robust solution is unique and continuous (Holder-stable) with respect to the unperturbed problem's data.
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Advances in Soft Computing: Engineering Design and Manufacturing
R. Roy,武 古橋,P. Chawdhry +2 more
- 04 Dec 1998
TL;DR: This work focuses on the development of systems for on-line Adaptive Decision Making and Control for Evolutionary Programming, as well as aspects of Evolutionary Design by Computers.
219
Predictive control by local linearization of a Takagi-Sugeno fuzzy model
Johannes Andries Roubos,Robert Babuska,P.M. Bruijn,Henk B. Verbruggen +3 more
- 04 May 1998
TL;DR: In this article, a possibility of using linear MBPC to control nonlinear systems is investigated, where the Takagi-Sugeno fuzzy models are chosen as the model structure and local linear models can be derived from the linear rule consequents in a straightforward way.
Predictive control using fuzzy models — Comparative study
Jairo Espinosa,M.L. Hadjili,Vincent Wertz,Joos Vandewalle +3 more
- 01 Jan 1999
TL;DR: 4 algorithms to construct fuzzy models for Nonlinear Model Predictive Control and the comparison between the algorithms includes complexity, computational load, model representation, quality of the solution is compared.