Semi-Global Finite-Time Observers for a Class of Non-Lipschitz Systems

2013 ◽  
Author(s):  
Yanjun Shen ◽  
Hui Yu ◽  
Jigui Jian
Keyword(s):  
Finite Time ◽  
Lipschitz Systems

scholarly journals Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

Mathematics ◽  
2016 ◽  
Vol 4 (4) ◽  
pp. 58 ◽  
Author(s):  
Nawel Khelil ◽  
Martin Otis
Keyword(s):  
Finite Time ◽  
Finite Time Stabilization ◽  
Lipschitz Systems

Global Finite-time Observers for a Class of Non-Lipschitz Systems

2011 ◽  
Vol 44 (1) ◽  
pp. 703-708 ◽  
Author(s):  
Yunyan Li ◽  
Yanjun Shen ◽  
Xiaohua Xia
Keyword(s):  
Finite Time ◽  
Lipschitz Systems

Observer-based H∞ finite-time controller for time-delay nonlinear one-sided Lipschitz systems with exogenous disturbances

2018 ◽  
Vol 25 (4) ◽  
pp. 806-819 ◽  
Author(s):  
Hadi Gholami ◽  
Tahereh Binazadeh
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Delay Model ◽  
State Variables ◽  
Dynamical Equations ◽  
Observer Error ◽  
Exogenous Disturbances ◽  
Lipschitz Systems

This paper is concerned with a robust observer-based control of nonlinear one-sided Lipschitz systems in the presence of time delay, model uncertainties, and unknown energy-bounded exogenous disturbances. In this regard, firstly, an appropriate observer is designed and then a controller is achieved based on estimated state variables. Considering dynamical equations of the system together with dynamical equations of the observer error, the sufficient conditions are given for robust finite-time boundedness of the closed-loop system and satisfying the H∞ performance index. In this regard, a theorem is given and the sufficient conditions are derived in terms of feasibility testing of given linear matrix inequalities by selecting an appropriate Lyapunov–Krasovskii functional. Finally, computer simulations are performed for two examples to show the efficiency and applicability of the proposed controller.

scholarly journals Finite time Controller Design for Time-Delay One-sided Lipschitz Systems

2018 ◽  
Vol 12 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Hadi Gholami ◽  
Tahereh Binazadeh ◽  
◽  
Keyword(s):  
Time Delay ◽  
Finite Time ◽  
Controller Design ◽  
Lipschitz Systems

scholarly journals Finite-time H∞ control for one-sided Lipschitz systems with auxiliary matrices

2016 ◽  
Vol 194 ◽  
pp. 207-217 ◽  
Author(s):  
Yuehua Huang ◽  
Shiqi Fu ◽  
Yanjun Shen
Keyword(s):  
Finite Time ◽  
Lipschitz Systems

scholarly journals Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

2016 ◽  
Author(s):  
Nawel Khelil ◽  
Martin J.-D. Otis
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Time Stability ◽  
Design Algorithm ◽  
Finite Time Stability ◽  
Recursive Design ◽  
Non Linear Systems ◽  
Finite Time Stabilization ◽  
Lipschitz Systems ◽  
Special Case

This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback which renders the non-Lipschitz systems in the special case dominated by a lower-triangular nonlinear system, finite-time stable. The proof is based on a recursive design algorithm developed recently, to construct the virtual Hölder continuous, finite-time stabilizer as well as a C1 positive definite and proper Lyapunov function that guarantees finite-time stability of the non-Lipschitz non-linear systems.

Sign in / Sign up

Export Citation Format

Share Document