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Review

A Review of Convex Approaches for Control, Observation and Safety of Linear Parameter Varying and Takagi-Sugeno Systems

1
TURIX-Dynamics Diagnosis and Control Group, Tecnológico Nacional de México/Instituto Tecnológico de Tuxtla Gutiérrez, Carretera Panamericana km 1080, C.P. 29050 Tuxtla Gutierrez, Mexico
2
Institut de Robòtica i Informàtica Industrial, CSIC-UPC, Llorens i Artigas 4-6, 08028 Barcelona, Spain
3
Research Center for Supervision, Safety and Automatic Control, Universitat Politècnica de Catalunya (UPC), Rambla Sant Nebridi, 22, 08022 Terrassa, Spain
4
Tecnológico Nacional de México/Instituto Tecnológico de Hermosillo, Av. Tecnológico y Periférico Poniente, S/N, 83170 Hermosillo, Sonora, Mexico
*
Authors to whom correspondence should be addressed.
These authors contributed equally to this work.
Processes 2019, 7(11), 814; https://doi.org/10.3390/pr7110814
Received: 25 September 2019 / Revised: 13 October 2019 / Accepted: 30 October 2019 / Published: 4 November 2019
(This article belongs to the Special Issue Optimization for Control, Observation and Safety)
This paper provides a review about the concept of convex systems based on Takagi-Sugeno, linear parameter varying (LPV) and quasi-LPV modeling. These paradigms are capable of hiding the nonlinearities by means of an equivalent description which uses a set of linear models interpolated by appropriately defined weighing functions. Convex systems have become very popular since they allow applying extended linear techniques based on linear matrix inequalities (LMIs) to complex nonlinear systems. This survey aims at providing the reader with a significant overview of the existing LMI-based techniques for convex systems in the fields of control, observation and safety. Firstly, a detailed review of stability, feedback, tracking and model predictive control (MPC) convex controllers is considered. Secondly, the problem of state estimation is addressed through the design of proportional, proportional-integral, unknown input and descriptor observers. Finally, safety of convex systems is discussed by describing popular techniques for fault diagnosis and fault tolerant control (FTC). View Full-Text
Keywords: linear parameter varying (LPV) systems; Takagi-Sugeno systems; convex systems; linear matrix inequalities (LMIs); fault diagnosis; fault tolerant control (FTC) linear parameter varying (LPV) systems; Takagi-Sugeno systems; convex systems; linear matrix inequalities (LMIs); fault diagnosis; fault tolerant control (FTC)
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MDPI and ACS Style

López-Estrada, F.-R.; Rotondo, D.; Valencia-Palomo, G. A Review of Convex Approaches for Control, Observation and Safety of Linear Parameter Varying and Takagi-Sugeno Systems. Processes 2019, 7, 814. https://doi.org/10.3390/pr7110814

AMA Style

López-Estrada F-R, Rotondo D, Valencia-Palomo G. A Review of Convex Approaches for Control, Observation and Safety of Linear Parameter Varying and Takagi-Sugeno Systems. Processes. 2019; 7(11):814. https://doi.org/10.3390/pr7110814

Chicago/Turabian Style

López-Estrada, Francisco-Ronay, Damiano Rotondo, and Guillermo Valencia-Palomo. 2019. "A Review of Convex Approaches for Control, Observation and Safety of Linear Parameter Varying and Takagi-Sugeno Systems" Processes 7, no. 11: 814. https://doi.org/10.3390/pr7110814

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