LMI properties and applications in systems, stability, and control theory

RJ Caverly, JR Forbes - arxiv preprint arxiv:1903.08599, 2019 - arxiv.org
Linear matrix inequalities (LMIs) commonly appear in systems, stability, and control
applications. Many analysis and synthesis problems in these areas can be solved as …

Static output feedback stabilization of uncertain rational nonlinear systems with input saturation

TA Lima, DS Madeira, VV Viana, RCLF Oliveira - Systems & Control Letters, 2022 - Elsevier
In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output
feedback control problem for a class of continuous-time nonlinear rational systems subject to …

New RNN Algorithms for Different Time-Variant Matrix Inequalities Solving Under Discrete-Time Framework

Y Shi, C Ding, S Li, B Li, X Sun - IEEE Transactions on Neural …, 2024 - ieeexplore.ieee.org
A series of discrete time-variant matrix inequalities is generally regarded as one of the
challenging problems in science and engineering fields. As a discrete time-variant problem …

Output-feedback control design for Takagi-Sugeno fuzzy systems through Lyapunov functions depending polynomially on the states

Y Quilles-Marinho, RCLF Oliveira, PLD Peres - Fuzzy Sets and Systems, 2025 - Elsevier
This paper proposes a new strategy based on linear matrix inequalities (LMIs) for the
synthesis of state-and output-feedback controllers through parallel distributed compensation …

An improved model-free adaptive control for nonlinear systems: An LMI approach

XZ **, YS Ma, WW Che - Applied Mathematics and Computation, 2023 - Elsevier
This paper proposes two model-free adaptive control (MFAC) schemes by using the linear
matrix inequality (LMI) approach for the single-input single-output (SISO) and multi-input …

H Robust LMI-Based Nonlinear State Feedback Controller of Uncertain Nonlinear Systems with External Disturbances

M Chatavi, MT Vu, S Mobayen, A Fekih - Mathematics, 2022 - mdpi.com
In this paper, we propose a nonlinear state feedback controller based on linear matrix
inequality (LMI) for a class of nonlinear systems with parametric uncertainties and external …

Control design of uncertain discrete‐time Lur'e systems with sector and slope bounded nonlinearities

ALJ Bertolin, RCLF Oliveira… - … Journal of Robust …, 2022 - Wiley Online Library
This article addresses the problem of static output‐feedback control design for uncertain
discrete‐time Lur'e systems with sector and slope bounded nonlinearities. By manipulating …

Reduced order positive filter design for positive uncertain discrete-time linear systems

A Spagolla, CF Morais, RCLF Oliveira… - IEEE Control Systems …, 2021 - ieeexplore.ieee.org
The problems of reduced order\pmb H 2 and\pmb H∞ positive filter design for positive
uncertain discrete-time linear systems are investigated in this letter. Due to the positivity …

H2 detector-based state feedback control of continuous-time MJLS subject to uncertain transition rate matrices

LPM da Silva, RCLF Oliveira - Journal of the Franklin Institute, 2024 - Elsevier
This paper uses detector-based mode information to address the H 2 state-feedback control
problem for continuous-time Markov Jump Linear Systems (MJLS). The focus is on …

Stabilization and Static Output-Feedback Control of Discrete-Time Positive Linear Systems

A Spagolla, CF Morais, RCLF Oliveira… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article investigates the problem of designing robust (or gain-scheduled) static output-
feedback (or state-feedback) controllers for discrete-time positive linear systems affected by …