Stability of Discrete-Time Network Control Systems with Time-Varying Delays

2014 ◽  
Vol 971-973 ◽  
pp. 1334-1337
Author(s):  
Hong Zhao
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Networked Control Systems ◽  
Network Control ◽  
Stability Conditions ◽  
Time Varying ◽  
Weighting Matrix ◽  
Network Control Systems ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper proposes delay-dependent stability conditions of discrete-time networked control systems (NCSs) with unknown, time-varying and bounded delays using Lyapunov-Krasovskii functional and the improved free-weighting matrix approach. Moreover, the conditions are extended to the NCSs with time-varying structured uncertainties.

scholarly journals Improved Delay-Dependent Stability Conditions for MIMO Networked Control Systems with Nonlinear Perturbations

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Jiuwen Cao
Keyword(s):  
Control Systems ◽  
Stability Condition ◽  
Networked Control Systems ◽  
Network Control ◽  
Nonlinear Perturbations ◽  
Neutral Operator ◽  
Network Control Systems ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper provides improved time delay-dependent stability criteria for multi-input and multi-output (MIMO) network control systems (NCSs) with nonlinear perturbations. Without the stability assumption on the neutral operator after the descriptor approach, the new proposed stability theory is less conservative than the existing stability condition. Theoretical proof is given in this paper to demonstrate the effectiveness of the proposed stability condition.

New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

2012 ◽  
Vol 461 ◽  
pp. 633-636
Author(s):  
Cheng Wang
Keyword(s):  
Robust Stability ◽  
Stability Criterion ◽  
Stochastic Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Varying Delay

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

Delay-dependent stability analysis for discrete-time switched linear systems with parametric uncertainties

2017 ◽  
Vol 24 (20) ◽  
pp. 4921-4930 ◽  
Author(s):  
Nasrollah Azam Baleghi ◽  
Mohammad Hossein Shafiei
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Discrete Time ◽  
Upper Bound ◽  
Sufficient Conditions ◽  
Switched System ◽  
Parametric Uncertainties ◽  
Time Varying ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper studies the delay-dependent stability conditions for time-delay discrete-time switched systems. In the considered switched system, there are uncertain terms in each subsystem due to affine parametric uncertainties. Additionally, each subsystem has a time-varying state delay which adds more complexity to the stability analysis. Based on the Lyapunov functional approach, the sufficient conditions are extracted to determine the admissible upper bound of the time-varying delay for guaranteed stability. Furthermore, a class of switching signals is identified to guarantee the exponential stability of the uncertain time-delay switched system. The main advantage of the suggested switching signals is its independency to the uncertainties. Furthermore, these signals are only constrained by a determined average dwell time (may be chosen arbitrarily). Finally, a numerical example is provided to demonstrate the efficiency of the proposed method and also the reduction of conservatism in finding the admissible upper bound of time-delay in comparison with other stability analysis approaches.

Sign in / Sign up

Export Citation Format

Share Document