scholarly journals Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Yeguo Sun ◽  
Guanjun Li
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Time Stability ◽  
Finite Time Stability ◽  
Stability And Stabilization

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

scholarly journals Finite-Time Boundedness and Stabilization of Networked Control Systems with Time Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Yeguo Sun ◽  
Jin Xu
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Finite Time ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Finite Time Boundedness

The finite-time control problem of a class of networked control systems (NCSs) with time delay is investigated. The main results provided in the paper are sufficient conditions for finite-time stability via state feedback. An augmentation approach is proposed to model NCSs with time delay as linear systems. Based on finite time stability theory, the sufficient conditions for finite-time boundedness and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.

Stability Analysis and Controller Design of Networked Control Systems with Packet Dropout

2012 ◽  
Vol 629 ◽  
pp. 835-839
Author(s):  
Ye Guo Sun
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Markovian Jump Linear Systems ◽  
Special Cases ◽  
Stability And Stabilization

In this paper, the stability and stabilization problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. An iterative approach is proposed to model NCSs with bounded packet dropout as Markovian jump linear systems (MJLSs). The transition probabilities of MJLSs are partly unknown due to the complexity of network. The system under consideration is more general, which covers the systems with completely known and completely unknown transition probabilities as two special cases. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. The sufficient conditions for stochastic stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

scholarly journals Finite-Time Stability and Stabilization of Nonlinear Quadratic Systems with Jumps

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Minsong Zhang
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Time Stability ◽  
Quadratic Systems ◽  
Finite Time Stability ◽  
Jump Time ◽  
Stability And Stabilization ◽  
Finite Time Stabilization

This paper investigates the problems of finite-time stability and finite-time stabilization for nonlinear quadratic systems with jumps. The jump time sequences here are assumed to satisfy some given constraints. Based on Lyapunov function and a particular presentation of the quadratic terms, sufficient conditions for finite-time stability and finite-time stabilization are developed to a set containing bilinear matrix inequalities (BLIMs) and linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed methodology.

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.

α-Stabilization Criterion for Networked Control Systems

2013 ◽  
Vol 321-324 ◽  
pp. 1858-1862 ◽  
Author(s):  
Li Sheng Wei ◽  
Zhi Hui Mei ◽  
Ming Jiang
Keyword(s):  
Time Delay ◽  
Control Systems ◽  
Optimization Problem ◽  
Networked Control Systems ◽  
Lyapunov Stability Theory ◽  
Networked Control ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Lmi Approach ◽  
Network Transmission

This study focus on α-Stability constraints for uncertain networked control systems (NCSs) subject to disturbance inputs, where the network transmission is connected with time-delay and packet dropout. The overall NCSs model is derived. In order to obtain much less conservative results, the sufficient condition for feasibility is presented in term of 2nd Lyapunov stability theory and a set of linear matrix inequalities (LMIs). This LMI approach can be the optimization problem of computation of the maximal allowed bound on the time-delay for NCSs.

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