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 Consensus of a class of nonlinear fractional-order multi-agent systems via dynamic output feedback controller

2021 ◽  
pp. 014233122110499
Author(s):  
Elyar Zavvari ◽  
Pouya Badri ◽  
Mahdi Sojoodi
Keyword(s):  
Fractional Order ◽  
Output Feedback ◽  
Feedback Controller ◽  
Dynamic Output Feedback ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Multi Agent ◽  
Dynamic Output Feedback Controller

This paper addresses the consensus of a class of nonlinear fractional-order multi-agent systems (FOMASs) with positive real uncertainty. First, a fractional non-fragile dynamic output feedback controller is put forward via the output measurements of neighboring agents, then appropriate state transformation reduced the consensus problem to a stability one. A sufficient condition based on direct Lyapunov approach, for the robust asymptotic stability of the transformed system and subsequently for the consensus of the main system is presented. In addition, utilizing S-procedure and Schur complement, the systematic stabilization design algorithm is proposed for fractional-order system with and without nonlinear terms. The results are formulated as an optimization problem with linear matrix inequality constraints. Simulation results are given to verify the effectiveness of the theoretical results.

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.

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