Finite‐time control via hybrid state feedback for uncertain positive systems with impulses

2020 ◽  
Author(s):  
Meng‐Jie Hu ◽  
Ju H. Park
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Positive Systems ◽  
Hybrid State ◽  
Time Control

scholarly journals Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhiguo Yan
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
State Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Stochastic Nonlinear Systems ◽  
Matrix Inequalities ◽  
Annular Domain ◽  
Stabilizing Controller ◽  
Time Control

This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.

Adaptive finite-time control for non-linear delay systems via non-fragile state feedback

2015 ◽  
Vol 39 (5) ◽  
pp. 635-641 ◽  
Author(s):  
Yitao Yang ◽  
Linlin Hou ◽  
Haibin Sun
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Delay Systems ◽  
Time Stability ◽  
Fragile State ◽  
Finite Time Stability ◽  
Time Control ◽  
Linear Delay ◽  
Non Linear ◽  
Finite Time Boundedness

The problem of adaptive finite-time control is addressed in this paper for a class of non-linear delay systems. First, the concepts of adaptive finite-time stability and adaptive finite-time boundedness are defined, respectively. Then, by resorting to the Lyapunov–Krasovskii functional technique, some new delay-dependent criteria guaranteeing adaptive finite-time boundedness and adaptive finite-time stability are developed, respectively. An explicit expression for the desired non-fragile state feedback controller is also presented. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed results.

Finite-Time Control of Networked Control Systems with Bounded Packet Dropout

2012 ◽  
Vol 629 ◽  
pp. 840-844
Author(s):  
Jin Xu ◽  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
State Feedback ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Packet Dropout ◽  
Time Control ◽  
Finite Time Boundedness

In this paper, the finite-time boundedness and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump liner systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilization of the underlying systems are derived via liner matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

scholarly journals Robust finite-time control of impulsive positive systems under ℒ1-gain performance

2020 ◽  
Vol 53 (2) ◽  
pp. 4643-4647
Author(s):  
Mengjie Hu ◽  
Ju H. Park ◽  
Hoyoul Jung
Keyword(s):  
Finite Time ◽  
Positive Systems ◽  
Time Control
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