Proceedings Article10.1109/FSKD.2010.5569716
Finite-time stabilization of a class of uncertain nonlinear systems with time-delay
Jiamei Zhuang,Fei Liu +1 more
- 09 Sep 2010
- Vol. 1, pp 163-167
9
TL;DR: For a class of uncertain time-delay nonlinear systems represented by Takagi-Sugeno fuzzy models, the finite-time stabilization problem with exogenous disturbances is discussed and a new finite- time stabilization condition is established for such fuzzy systems by applying linear matrix inequality technique.
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Abstract: For a class of uncertain time-delay nonlinear systems represented by Takagi-Sugeno fuzzy models, the finite-time stabilization problem with exogenous disturbances is discussed. Based on the stochastic Lyapunov-krasovskii functional approach, a new finite-time stabilization condition is established for such fuzzy systems. By applying linear matrix inequality technique, the finite-time state feedback controller is derived. A numerical example is used to illustrate the effectiveness of the design procedure.
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Citations
Robust and resilient finite-time bounded control of discrete-time uncertain nonlinear systems
Elbsat Mohammad N,Edwin E. Yaz +1 more
TL;DR: Using linear matrix inequality techniques, a solution for the controller gain and the maximum allowable bound on the gain perturbation is obtained and the developed controller is robust for all unknown nonlinearities lying in a known hypersphere with an uncertain center and all admissible disturbances.
73
Finite-time control and estimation of nonlinear systems with disturbance attenuation
Elbsat Mohammad N
- 01 Jan 2012
TL;DR: ElBsat et al. as mentioned in this paper developed a robust and resilient mixed criteria state-feedback controller and observer design for a class of nonlinear systems with conic-type nonlinearities lying within a hypersphere of uncertain center, additive disturbances, and controller gain perturbations.
Robust H ¥ Finite-Time Control for Discrete Markovian Jump Systems with Disturbances of Probabilistic Distributions
TL;DR: This paper is concerned with the robust H∞ finite-time control for discrete delayed nonlinear systems with Markovian jumps and external disturbances and introduces a probabilistic distribution denoted by binomial sequences to describe the external disturbance.
14
Robust and Resilient Finite-Time Control of a Class of Continuous-Time Nonlinear Systems
Elbsat Mohammad N,Edwin E. Yaz +1 more
TL;DR: Finite-time state-feedback stabilization of a class of continuous-time nonlinear systems with conic type nonlinearities, bounded feedback control gain perturbations, and additive disturbances is presented and the developed controller is robust for all unknown non linearities lying in a hyper-sphere and all admissible disturbances.
12
Mixed criteria control design with finite-time boundedness and H ∞ property for a class of discrete-time nonlinear systems
Elbsat Mohammad N,Edwin E. Yaz +1 more
- 01 Dec 2011
TL;DR: A feedback controller design which guarantees both finite-time boundedness and H∞ attenuation for a class of nonlinear systems with conic type nonlinearities and additive disturbances is presented.
10
References
Fuzzy identification of systems and its applications to modeling and control
T. Takagi,Michio Sugeno +1 more
- 01 Jan 1985
TL;DR: A mathematical tool to build a fuzzy model of a system where fuzzy implications and reasoning are used is presented and two applications of the method to industrial processes are discussed: a water cleaning process and a converter in a steel-making process.
20.1K
•Book
Linear Matrix Inequalities in System and Control Theory
Edwin E. Yaz
- 01 Jan 1994
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Stability analysis and design of fuzzy control systems
Kazuo Tanaka,Michio Sugeno +1 more
TL;DR: The fuzzy block diagrams and the stability analysis are applied to the design problems of a model-based fuzzy controller and a new design technique of a fuzzy controller is proposed.
2.2K