Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions
نویسندگان
چکیده
منابع مشابه
Common Polynomial Lyapunov Functions for Linear Switched Systems
In this paper, we consider linear switched systems ẋ(t) = Au(t)x(t), x ∈ R, u ∈ U , and the problem of asymptotic stability for arbitrary switching functions, uniform with respect to switching (UAS for short). We first prove that, given a UAS system, it is always possible to build a common polynomial Lyapunov function. Then our main result is that the degree of that common polynomial Lyapunov f...
متن کاملReducing conservativeness in recent stability conditions of TS fuzzy systems
In this correspondence a new simple strategy for reducing the conservativeness in stability analysis of continuous-time Takagi–Sugeno fuzzy systems based on fuzzy Lyapunov functions is proposed. This new strategy generalizes previous results. © 2009 Elsevier Ltd. All rights reserved.
متن کاملSwitching Lyapunov Functions for Periodic TS Systems
This paper considers the stability analysis of periodic Takagi-Sugeno fuzzy models. For this we use a switching Lyapunov function defined at the time instants when the subsystems switch. Using the developed conditions we are able to prove the stability of periodic TS systems where the local models or even the subsystems are unstable. The application of the conditions is illustrated on numerical...
متن کاملPeriodic Lyapunov functions for periodic TS systems
In this paper we consider stability analysis and controller design for periodic Takagi-Sugeno fuzzy models. To develop the conditions, we use a switching nonquadratic Lyapunov function defined at the time instants when the subsystems switch. Using the proposed conditions we are able to handle periodic Takagi-Sugeno systems where the local models or even the subsystems are unstable or cannot be ...
متن کاملDesign of Observer-based H∞ Controller for Robust Stabilization of Networked Systems Using Switched Lyapunov Functions
In this paper, H∞ controller is synthesized for networked systems subject to random transmission delays with known upper bound and different occurrence probabilities in the both of feedback (sensor to controller) and forward (controller to actuator) channels. A remote observer is employed to improve the performance of the system by computing non-delayed estimates of the sates. The closed-loop s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2020
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2020.12.1768