scholarly journals Dynamic Quantized Predictive Control for Systems with Time-Varying Delay and Packet Loss in the Forward Channel

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Mu Li ◽  
Lihua Dou ◽  
Jian Sun ◽  
Di Wang
Keyword(s):  
Predictive Control ◽  
Packet Loss ◽  
Time Varying ◽  
Matrix Inequality ◽  
Time Varying Delay ◽  
Sufficient Stability Condition ◽  
Sufficient Stability ◽  
Forward Channel ◽  
Dynamic Quantizer ◽  
Varying Delay

Stability and design of a dynamic quantized predictive control system with time-varying delay and packet loss are studied. For the system with time-varying delay and packet loss in the forward channel, a dynamic quantizer that can minimize the quantized output error is designed and a networked quantized predictive control (NQPC) strategy is proposed to compensate for the delay and packet loss. Stability of the NQPC system is then analyzed and a sufficient stability condition is derived and presented in the form of matrix inequality. Finally, both simulation and experimental results are given to demonstrate the effectiveness of the proposed approach.

Guaranteed Cost Control of Saturated Time-Varying Delay Systems

2012 ◽  
Vol 235 ◽  
pp. 129-134
Author(s):  
Han Lin He ◽  
Xiao Dong Wang ◽  
Wei Jun Li
Keyword(s):  
Schur Complement ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Degree Function ◽  
Varying Delay

This paper mainly considers the control problem of saturated time-varying delay systems. Applying the saturation degree function and the convex hull theory to handle the saturated terms, we put forward the guaranteed cost controller of the system according to the Lyapunov-Krasovskii theorem. Then we make use of Schur complement to convert the QMI (quadratic matrix inequality) to a LMI (linear matrix inequality) and so it can be easily used as controller synthesis. Finally, we apply the guaranteed cost controller to a two dimentional time-varying delay cellular neural networks, and the simulation results show the effectiveness of the proposed controller.

scholarly journals Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Ming Zhao ◽  
Yueying Wang ◽  
Pingfang Zhou ◽  
Dengping Duan
Keyword(s):  
Hybrid Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Stability Criteria ◽  
Stochastic Hybrid Systems ◽  
Time Varying Delay ◽  
Exponentially Stable ◽  
Delay Dependent ◽  
Varying Delay

This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.

Novel Approach to Robust Stability Criteria of Uncertain System with Time-Varying Delay

2013 ◽  
Vol 631-632 ◽  
pp. 1189-1194
Author(s):  
Chao Deng ◽  
Zhao Di Xu ◽  
Yu Bai ◽  
Xin Yuan Wang
Keyword(s):  
Linear Matrix Inequality ◽  
Robust Stability ◽  
Uncertain System ◽  
Linear Matrix ◽  
Convexity Property ◽  
Time Varying ◽  
Matrix Inequality ◽  
Stability Criteria ◽  
Time Varying Delay ◽  
Varying Delay

This paper considers the robust stability criteria of uncertain system with time-varying delay. Firstly, by exploiting a new Lyapunov function that optimizes the segment of time delay and using the convexity property and free-weight method of the Linear Matrix Inequality, delay-dependent stability condition can be obtained for the asymptotical stability of the nominal system. Secondly, basing on the obtained condition, the corresponding linear matrix inequality can be obtained for the uncertain system. Finally, an example is given to demostrate the effectiveness and the merit of the proposed method.

Stabilization of Optimal Dynamic Quantized System with Packet Loss

2014 ◽  
Vol 18 (2) ◽  
pp. 128-134
Author(s):  
Mu Li ◽  
◽  
Lihua Dou ◽  
Jie Chen ◽  
Jian Sun
Keyword(s):  
Packet Loss ◽  
State Feedback ◽  
Controller Design ◽  
Design Method ◽  
Matrix Inequality ◽  
Stabilization Problem ◽  
Mean Square Stability ◽  
Optimal Dynamic ◽  
Forward Channel ◽  
Dynamic Quantizer

This paper is concerned with the stabilization problem of an optimal dynamic quantized system with packet loss. The optimal dynamic quantizer, which minimizes the quantized output error, is designed for a discretetime system with packet loss occurring in the forward channel. A sufficient condition for the system’s mean square stability is developed based on matrix inequality method. A state feedback controller design method is also proposed, and numerical simulation demonstrates the effectiveness of the proposed method.

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