Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey

T Martin, TB Schön, F Allgöwer - Annual Reviews in Control, 2023 - Elsevier
This survey presents recent research on determining control-theoretic properties and
designing controllers with rigorous guarantees using semidefinite programming and for …

Distributed robust fixed-time consensus for nonlinear and disturbed multiagent systems

H Hong, W Yu, G Wen, X Yu - IEEE Transactions on Systems …, 2016 - ieeexplore.ieee.org
In this paper, the robust fixed-time consensus problem for multiagent systems with nonlinear
dynamics and uncertain disturbances under a weighted undirected topology is investigated …

LMI techniques for optimization over polynomials in control: a survey

G Chesi - IEEE transactions on Automatic Control, 2010 - ieeexplore.ieee.org
Numerous tasks in control systems involve optimization problems over polynomials, and
unfortunately these problems are in general nonconvex. In order to cope with this difficulty …

Quantized Control for Nonlinear Stochastic Time-Delay Systems With Missing Measurements

Z Wang, B Shen, H Shu, G Wei - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
In this paper, the quantized H∞ control problem is investigated for a class of nonlinear
stochastic time-delay network-based systems with probabilistic data missing. A nonlinear …

Improved results on stability of continuous-time switched positive linear systems

X Zhao, X Liu, S Yin, H Li - Automatica, 2014 - Elsevier
In this paper, the problems of stability for switched positive linear systems (SPLSs) under
arbitrary switching are investigated in a continuous-time context. The so-called “copositive …

Stability and Synthesis of a Class of Periodic Piecewise Time-Varying Systems

P Li, J Lam, R Lu, KW Kwok - IEEE Transactions on Automatic …, 2018 - ieeexplore.ieee.org
In this paper, the stability, stabilization, and L 2-gain problems are investigated for periodic
piecewise systems with time-varying subsystems. Continuous Lyapunov function with time …

Observer-based control of discrete-time LPV systems with uncertain parameters $$

WPMH Heemels, J Daafouz… - IEEE transactions on …, 2010 - ieeexplore.ieee.org
In this note, linear matrix inequality-based design conditions are presented for observer-
based controllers that stabilize discrete-time linear parameter-varying systems in the …

Novel Stability Criteria for T--S Fuzzy Systems

X Zhao, L Zhang, P Shi… - IEEE Transactions on fuzzy …, 2013 - ieeexplore.ieee.org
In this paper, novel stability conditions for Takagi-Sugeno (TS) fuzzy systems are presented.
The so-called nonquadratic membership-dependent Lyapunov function is first proposed …

A nonconservative LMI condition for stability of switched systems with guaranteed dwell time

G Chesi, P Colaneri, JC Geromel… - … on Automatic Control, 2011 - ieeexplore.ieee.org
Ensuring stability of switched linear systems with a guaranteed dwell time is an important
problem in control systems. Several methods have been proposed in the literature to …

Non-quadratic local stabilization for continuous-time Takagi–Sugeno models

TM Guerra, M Bernal, K Guelton, S Labiod - Fuzzy Sets and Systems, 2012 - Elsevier
This paper is concerned with non-quadratic stabilization of continuous-time Takagi–Sugeno
(TS) models. The well-known problem of handling time-derivatives of membership functions …