Article

Analysis and synthesis of discrete nonlinear passive systems via affine TS fuzzy models

International Journal of Systems Science (Impact Factor: 1.31). 01/2008; 39(8):809-821. DOI: 10.1080/00207720801902580
Source: DBLP

ABSTRACT The article considers the analysis and synthesis problem for the discrete nonlinear systems, which are represented by the discrete affine Takagi–Sugeno (T–S) fuzzy models. The state feedback fuzzy controller design methodology is developed to guarantee that the affine T–S fuzzy models achieve Lyapunov stability and strict input passivity. In order to find a suitable fuzzy controller, an Iterative Linear Matrix Inequality (ILMI) algorithm is employed in this article to solve the stability conditions for the closed-loop affine T–S fuzzy models. Finally, the application of the proposed fuzzy controller design methodology is manifested via a numerical example with computer simulations.

0 Bookmarks
 · 
26 Views
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper discusses the control problem for a class of Takagi-Sugeno (T-S) fuzzy bilinear systems with time-varying state and input delays. Utilizing the parallel distributed compensation (PDC), an overall fuzzy controller is designed to stabilize the T-S fuzzy bilinear systems with time-varying state and input delays. In addition, based on a Lyapunov-Krasoviskii function, the delay-dependent stabilization conditions are proposed in terms of linear matrix inequality to guarantee the asymptotic stabilization of T-S fuzzy bilinear systems with time-varying state and input delays. Finally, a numerical example is illustrated to demonstrate the feasibility and effectiveness of the proposed schemes.
    01/2011;
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this article, Takagi–Sugeno (T–S) fuzzy control theory is proposed as a key tool to design an effective active queue management (AQM) router for the transmission control protocol (TCP) networks. The probability control of packet marking in the TCP networks is characterised by an input constrained control problem in this article. By modelling the TCP network into a time-delay affine T–S fuzzy model, an input constrained fuzzy control methodology is developed in this article to serve the AQM router design. The proposed fuzzy control approach, which is developed based on the parallel distributed compensation technique, can provide smaller probability of dropping packets than previous AQM design schemes. Lastly, a numerical simulation is provided to illustrate the usefulness and effectiveness of the proposed design approach.
    International Journal of Systems Science 04/2011; 2011(pp. 1–17). · 1.31 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: This paper deals with the problem of observer-based robust passive fuzzy control for uncertain Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. For describing the stochastic behaviors of the system, the stochastic differential equation is used to structure the stochastic T-S fuzzy model. And, the uncertainties of the controlled system are considered in this paper for dealing with molding errors and varying parameters. Furthermore, using the Lyapunov function and passivity theory, the sufficient stability conditions can be derived in term of Linear Matrix Inequality (LMI) via two-step procedure. Finally, the numerical simulations are proposed to show the effectiveness and usefulness of this paper.
    01/2011;

Full-text

View
15 Downloads
Available from
May 21, 2014