scholarly journals Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Zhenbo Li ◽  
Shuqian Zhu
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Feedback Stabilization ◽  
Dynamic Output Feedback ◽  
Delayed Systems ◽  
Dynamic Output ◽  
Gain Variation ◽  
Controller Gain ◽  
Dynamic Output Feedback Controller

The problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controller is respect to additive controller gain variation which also belongs to an interval. Necessary and sufficient/sufficient conditions are established for the existence of the dynamic output feedback controller. The desired controller gain matrices can be determined effectively via the cone complementarity linearization techniques.

scholarly journals Dynamic Output Feedback Stabilization of Singular Fractional-Order Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Yanchai Liu ◽  
Liu Cui ◽  
Dengping Duan
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Feedback Stabilization ◽  
Order System ◽  
Dynamic Output Feedback ◽  
Fractional Order Systems ◽  
Stabilizing Controllers ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller ◽  
The Stability

This paper is concerned with dynamic output feedback controller (DOFC) design problem for singular fractional-order systems with the fractional-orderαsatisfying0<α<2. Based on the stability theory of fractional-order system, sufficient and necessary conditions are derived for the admissibility of the systems, which are more convenient to analytical design of stabilizing controllers than the existing results. A full-order DOFC is then synthesized based on the obtained conditions and the characteristics of Moore-Penrose inverse. Finally, a numerical example is presented to show the effectiveness of the proposed methods.

scholarly journals Global Stabilization of Nonlinear Networked Control System with System Delays and Packet Dropouts via Dynamic Output Feedback Controller

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Kheir Eddine Bouazza
Keyword(s):  
State Space ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Networked Control ◽  
Dynamic Output Feedback ◽  
Packet Dropouts ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller

The stabilization problem is investigated for a class of nonlinear discrete-time networked control systems (NCSs). Nonideal network Quality of Services (QoS) are considered, more specifically data packet dropouts and network-induced delays. A state feedback controller for a class of NCSs is proposed. Subsequently, an observer is designed to estimate the state space. Based on the Lyapunov-Krasovskii functional, sufficient conditions (expressed in terms of LMIs) for the existence of a dynamic output feedback controller are derived. The stabilization is achieved without mathematical transformations or fuzzy logic approximations and without state space augmentation. Finally, illustrative examples are provided to show the effectiveness of the proposed method.

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