Improvements on Non-Quadratic Stabilization of Takagi-Sugeno Models Via Line-Integral Lyapunov Functions
نویسندگان
چکیده
This paper introduces two different generalizations on non-quadratic stabilization of TakagiSugeno models via line-integral Lyapunov functions. Inspired in recent developments which have proved to relax the conservativeness in the quadratic framework via suitable matrix transformations, the results here provided outperform the existing ones for line-integral Lyapunov functions. Examples are provided to illustrate the advantages of the proposed technique over the existing approach.
منابع مشابه
Non-quadratic local stabilization for continuous-time Takagi-Sugeno models
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 (MFs) as to obtain conditions in the form of linear matrix inequalities (LMIs) is overcome by reducing global goals to the estimation of a region of attraction. Instead of parallel distributed compensation (PDC), a non...
متن کاملNonquadratic stabilization of continuous-time systems in the Takagi-Sugeno form
This paper presents a relaxed scheme for controller synthesis of continuous-time systems in the Takagi-Sugeno form, based on non-quadratic Lyapunov functions and a non-PDC control law. The relaxations here provided allow state and input dependence of the membership functions’ derivatives, as well as independence on initial conditions when input constraints are needed. Moreover, the controller s...
متن کاملA New Fuzzy Lyapunov Approach to Non-Quadratic Stabilization of Takagi-Sugeno Fuzzy Models
In this paper, new non-quadratic stability conditions are derived based on the parallel distributed compensation scheme to stabilize Takagi-Sugeno (T-S) fuzzy systems. We use a non-quadratic Lyapunov function as a fuzzy mixture of multiple quadratic Lyapunov functions. The quadratic Lyapunov functions share the same membership functions with the T-S fuzzy model. The stability conditions we prop...
متن کاملNonquadratic stabilization of Takagi-Sugeno models: a piecewise quadratic approach
This paper deals with the stabilization of Takagi-Sugeno models (T-S) using state feedback controllers. New sufficient stability conditions are given for both continuous and discrete T-S models. The stability conditions, formulated in term of bilinear matrix inequalities (BMIs), are based on a piecewise quadratic Lyapunov function and the use of the so-called S-procedure. A method of linearisat...
متن کاملMore Relaxed Non-quadratic Stabilization of Takagi-Sugeno Fuzzy Models by Determination of Membership Function Information
In this paper, a systematic approach is presented for more relaxed stability analysis conditions and fuzzy controller design for Takagi-Sugeno systems in the form of LMIs. This approach is based on the idea of non-quadratic Lyapunov function and one assumption. In this paper, the upper bounds of the time derivative of membership functions are considered as LMI variables which lead to more relax...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013