A linear programming oriented procedure for quadratic stabilization of uncertain systems

Bernussou, J.; Peres, Pedro L. D.; Geromel, J.C.

doi:10.1016/0167-6911(89)90022-4

Cited by 283 publications

(115 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Once the augmented system has been rewritten in the form of (23), the following result, adapted from (Bernussou et al, 1989), points out a synthesis method to obtain a state-feedback controller that stabilizes quadratically the closed-loop system. …”

Section: State-feedback Controlmentioning

confidence: 99%

LMI Robust Control of PWM Converters: An Output-Feedback Approach

Olalla¹,

Aroudi²,

Leyva³

et al. 2011

Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics

View full text Add to dashboard Cite

show abstract

Section: State-feedback Controlmentioning

confidence: 99%

LMI Robust Control of PWM Converters: An Output-Feedback Approach

Olalla¹,

Aroudi²,

Leyva³

et al. 2011

Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics

View full text Add to dashboard Cite

show abstract

“…The weighting matrix establishes which states are to be controlled more tightly than others. weights the amount of control action to be applied depending on how large is the deviation of the state [9]. This optimization cost weight constraints the magnitude of the control signal [10].…”

Section: B Lqr Controller Designingmentioning

confidence: 99%

An Improved LQR-based Controller for PEMFC Interleaved DC-DC Converter

Habib¹,

Khoucha²

2015

Balkan Journal of Electrical and Computer Engineering

View full text Add to dashboard Cite

“…Veja por exemplo (Bernussou et al, 1989), (Geromel et al, 1991), (Khargonekar e Rotea, 1991), (Geromel, 1999), (Palhares e Peres, 1999), (de Souza e Trofino, 2000).…”

Section: Estabilidade De Sistemas Contí-nuos No Tempomentioning

confidence: 99%

Estabilidade robusta de sistemas lineares através de desigualdades matriciais lineares

Leite

Montagner

Oliveira

et al. 2004

Sba Controle & Automação

View full text Add to dashboard Cite

Sufficient conditions for the analysis of stability of linear systems with polytopic uncertainties are presented in this paper. The robust stability is guaranteed by the existence of a parameter dependent Lypaunov function obtained from the feasibility test of a set of linear matrix inequalities (LMIs) formulated at the vertices of the uncertainty polytope. Three conditions are presented, and the results are also compared with the analysis based on quadratic stability (same Lyapunov function for the entire set of uncertainties), for continuous as well as discrete-time systems. The first condition exploits the use of some extra variables (matrices) in the LMIs, and the second one uses a larger number of LMIs. These two conditions have recently appeared in the literature and are less conservative than quadratic stability. The third condition, proposed in this paper, combines the two ideas, yielding better results, and contains the previous conditions as particular cases. Several examples are presented to illustrate the Artigo submetido em 13/03/03 1a. Revisão em 20/10/03 Aceito sob recomendação do Ed. Assoc. Prof. Liu Hsu numerical performance of the LMI conditions in terms of efficiency and computational complexity.

show abstract

A linear programming oriented procedure for quadratic stabilization of uncertain systems

Cited by 283 publications

References 7 publications

LMI Robust Control of PWM Converters: An Output-Feedback Approach

LMI Robust Control of PWM Converters: An Output-Feedback Approach

An Improved LQR-based Controller for PEMFC Interleaved DC-DC Converter

Estabilidade robusta de sistemas lineares através de desigualdades matriciais lineares

Contact Info

Product

Resources

About