A novel linear matrix inequality‐based robust event‐triggered model predictive control for a class of discrete‐time linear systems
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5482
Abstract: This paper studies a linear matrix inequality (LMI)‐based robust event‐triggered model predictive control (ET‐MPC) for a class of discrete linear time‐invariant systems subject to bounded disturbances. In the presented robust event‐triggered MPC, the event‐triggered mechanism… read more here.
Keywords: linear matrix; matrix inequality; event triggered; robust event ... See more keywords
On the Numerical Solution of Differential Linear Matrix Inequalities
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-020-01650-9
Abstract: This paper presents a novel approach for the numerical solution of differential linear matrix inequalities. The solutions are searched in the class of piecewise-quadratic functions with symmetric matrix coefficients to be determined. To limit the… read more here.
Keywords: numerical solution; matrix inequalities; matrix; linear matrix ... See more keywords
Common solution to a pair of non-linear matrix equations via fixed point results
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-019-0698-7
Abstract: In this paper, we propose an idea to derive some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equations. To proceed with this, we… read more here.
Keywords: non linear; pair non; linear matrix; common solution ... See more keywords
Spectral linear matrix inequalities
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107749
Abstract: We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron. The main application is that derivative relaxations of the… read more here.
Keywords: linear matrix; matrix inequalities; matrix; spectral linear ... See more keywords
A successive constraint approach to solving parameter-dependent linear matrix inequalities
Sign Up to like & getrecommendations! Published in 2017 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2017.05.001
Abstract: Abstract We present a successive constraint approach that makes it possible to cheaply solve large-scale linear matrix inequalities for a large number of parameter values. The efficiency of our method is made possible by an… read more here.
Keywords: successive constraint; matrix inequalities; linear matrix; constraint approach ... See more keywords
Comparison of Multi-Sensor Task Assignment Methods: Linear Matrix Inequalities vs. Brute Force
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.498
Abstract: Abstract Due to significant advancements in embedded systems, sensor devices, and wireless communication technology, sensor networks have been attracting widespread attention in areas such as target tracking, monitoring, and surveillance. Technological advancements made it possible… read more here.
Keywords: assignment methods; matrix inequalities; task assignment; linear matrix ... See more keywords
On the investigation of activation functions in gradient neural network for online solving linear matrix equation
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.06.097
Abstract: Abstract In this paper, we investigate different activation functions (AFs) on convergence performance of a gradient-based neural network (GNN) for solving linear matrix equation, AXB + X = C . It is observed that, by… read more here.
Keywords: matrix equation; power; linear matrix; convergence ... See more keywords
Differential algebraic observer-based trajectory tracking for parallel robots via linear matrix inequalities
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Systems Science"
DOI: 10.1080/00207721.2022.2043482
Abstract: This paper develops a novel observer-based trajectory tracking technique for parallel robots, modelled as differential algebraic equations, which assumes that only positions are available for control purposes while joint velocities should be estimated. Based on… read more here.
Keywords: based trajectory; trajectory tracking; observer based; linear matrix ... See more keywords
Finite-Time Convergence and Robustness Analysis of Two Nonlinear Activated ZNN Models for Time-Varying Linear Matrix Equations
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2941961
Abstract: Based on zeroing neural network (ZNN), this paper designs two nonlinear activated ZNN (NAZNN) models for time-varying linear matrix equation through taking two new activation functions into consideration. The purpose of constructing the novel models… read more here.
Keywords: linear matrix; time; convergence; varying linear ... See more keywords
Robust Extended H∞ Control Strategy Using Linear Matrix Inequality Approach for Islanded Microgrid
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3009188
Abstract: This paper presents the design of an extended parameterisations of $H_{\infty }$ controller for off grid operation of a microgrid. The microgrid consists of distributed generation units, filters and local loads. The filters are used… read more here.
Keywords: unknown loads; linear matrix; controller; tex math ... See more keywords
Fuzzy Attitude Control of Spacecraft With Fuel Sloshing via Linear Matrix Inequalities
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Aerospace and Electronic Systems"
DOI: 10.1109/taes.2018.2820419
Abstract: This paper presents and compares two fuzzy controllers for attitude stabilization of a spacecraft with partially filled fuel tank: a fuzzy controller based on the parallel distributed compensation (PDC) technique and a fuzzy controller based… read more here.
Keywords: spacecraft; control; matrix inequalities; fuel ... See more keywords