LMI stability conditions for uncertain rational nonlinear systems

A Trofino, TJM Dezuo - International Journal of Robust and …, 2014 - Wiley Online Library
This paper presents LMI conditions for local, regional, and global robust asymptotic stability
of rational uncertain nonlinear systems. The uncertainties are modeled as real time varying …

Optimal control for polynomial systems using matrix sum of squares relaxations

H Ichihara - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This note deals with a computational approach to an optimal control problem for input-affine
polynomial systems based on a state-dependent linear matrix inequality (SDLMI) from the …

ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

DF Coutinho, M Fu, A Trofino… - International Journal of …, 2008 - Wiley Online Library
This paper proposes a convex approach to regional stability and ℒ︁2‐gain analysis and
control synthesis for a class of nonlinear systems subject to bounded disturbance signals …

Robust stability and domain of attraction of uncertain nonlinear systems

A Trofino - Proceedings of the 2000 American Control …, 2000 - ieeexplore.ieee.org
This paper deals with the robust stability of nonlinear systems having real time varying
parameters with magnitude and rate of variation which are confined to a given polytope. The …

Simultaneous stabilization and robust control of polynomial nonlinear systems using SOS techniques

J Xu, L Xie, Y Wang - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This technical note is concerned with the simultaneous stabilization and robust performance
control for a class of polynomial nonlinear systems. Building on the tenets of state …

Delay-dependent robust stability and ℒ2-gain analysis of a class of nonlinear time-delay systems

DF Coutinho, CE de Souza - Automatica, 2008 - Elsevier
A convex approach to robust regional stability analysis of a class of nonlinear state-delayed
systems subject to convex-bounded parameter uncertainty is proposed. Delay-dependent …

Stability analysis and control of a class of differential‐algebraic nonlinear systems

DF Coutinho, AS Bazanella, A Trofino… - … Journal of Robust …, 2004 - Wiley Online Library
A new methodology based on the linear matrix inequality (LMI) framework is presented for
the computation of polynomial Lyapunov functions for differential–algebraic nonlinear …

Robust analysis and control for a class of uncertain nonlinear discrete-time systems

DF Coutinho, M Fu, A Trofino - Systems & control letters, 2004 - Elsevier
This paper deals with the problem of robust analysis and control of a class of nonlinear
discrete-time systems with (constant) uncertain parameters. For the analysis problem we use …

Nonlinear controller synthesis for HIV dynamics based on SOS

Y Ding, Y Zhang, W Liu, J Li, Z Meng - IEEE Access, 2023 - ieeexplore.ieee.org
Nowadays antiretroviral therapy is widely used to cut down the viral burden and cut off a few
infection sources in clinical medicine for Human Immunodeficiency Virus (HIV) infected …

A convex approach to state feedback synthesis for polynomial nonlinear systems with input saturation

H Ichihara - SICE Journal of Control, Measurement, and System …, 2013 - Taylor & Francis
Ignoring input limitation in control systems often causes closed-loop instability or
performance degradation. This paper proposes a sum of squares approach to a problem of …