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 …

An LMI-based algorithm to compute robust stabilizing feedback gains directly as optimization variables

A Felipe, RCLF Oliveira - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
This article addresses the problem of robust stabilization of uncertain linear systems by static
state-and output-feedback control laws. The uncertainty is supposed to belong to a polytope …

New iterative linear matrix inequality based procedure for H2 and H state feedback control of continuous‐time polytopic systems

C Hu, IM Jaimoukha - … Journal of Robust and Nonlinear Control, 2021 - Wiley Online Library
This article provides new linear matrix inequality (LMI) sufficient conditions for a generalized
robust state feedback control synthesis problem for linear continuous‐time polytopic …

An LMI-based iterative algorithm for state and output feedback stabilization of discrete-time Lur'e systems

ALJ Bertolin, PLD Peres, RCLF Oliveira… - 2020 59th IEEE …, 2020 - ieeexplore.ieee.org
This paper is concerned with the problem of static output feedback stabilization of discrete-
time Lur'e systems. By using a quadratic Lyapunov function, new design conditions are …

Controle PID para sistemas lineares incertos de ordem arbitrária utilizando LMIs

AR Ortiz, RCLF Oliveira, PLD Peres - Congresso Brasileiro de …, 2020 - sba.org.br
Este artigo aborda o problema de projeto de controladores PID (Proporcional-Integral-
Derivativo) para sistemas lineares incertos contínuos no tempo por meio de otimização …

An LMI-based algorithm for static output-feedback stabilization of continuous-time positive polytopic linear systems

AA Lemaire, A Spagolla, CF Morais, RCLF Oliveira… - IFAC-PapersOnLine, 2020 - Elsevier
This paper presents a new technique to design static output-feedback controllers for
continuous-time positive uncertain linear systems. The design is performed through an …

On the synthesis of a polynomial controller for enlarging the stability domain for nonlinear discrete system

B Sabrine, BB Anis, E Salwa… - Transactions of the …, 2020 - journals.sagepub.com
This paper aims to propose an algebraic method for estimating the stability region for
nonlinear discrete systems. The main contribution is the improvement of an existing …

H∞ static output-feedback control for positive uncertain discrete-time linear systems

A Spagolla, CF Morais, RCLF Oliveira… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
This paper proposes a new approach based on linear matrix inequality (LMI) relaxations to
address the problem of H∞ output-feedback control for positive uncertain discrete-time …

[PDF][PDF] Realimentaçao estática de saıda de sistemas LPV positivos a tempo discreto

A Spagolla, CF Morais, RCLF Oliveira… - Simpósio Brasileiro de …, 2019 - academia.edu
This paper proposes a new approach based on linear matrix inequalities (LMIs) to address
the problem of static output-feedback control for positive linear parameter-varying (LPV) …

Estabilização quadrática por realimentação de saída de sistemas Lur'e a tempo contínuo via LMIs

ALJ Bertolin, RCLF Oliveira, G Valmorbida… - … de Automática-2020, 2020 - inria.hal.science
Este trabalho investiga o problema de estabilização de sistemas Lur'e contínuos no tempo
com não linearidade limitada em setor. A lei de controle proposta é constituída pela …