Decentralised variable gain robust controller design for a class of large-scale interconnected systems with mismatched uncertainties

2017 ◽  
Vol 48 (8) ◽  
pp. 1616-1623 ◽  
Author(s):  
S. Nagai ◽  
H. Oya ◽  
T. Kubo ◽  
T. Matsuki
Keyword(s):  
Large Scale ◽  
Controller Design ◽  
Interconnected Systems ◽  
Robust Controller ◽  
Variable Gain ◽  
Mismatched Uncertainties ◽  
Robust Controller Design

scholarly journals Synthesis of Decentralized Variable Gain Robust Controllers with GuaranteedL2Gain Performance for a Class of Uncertain Large-Scale Interconnected Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Shunya Nagai ◽  
Hidetoshi Oya
Keyword(s):  
Linear Matrix Inequalities ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Matching Condition ◽  
Interconnected Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Controller ◽  
Interconnected System ◽  
Variable Gain

We consider a design problem of a decentralized variable gain robust controller with guaranteedL2gain performance for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the interactions satisfy the matching condition. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller with guaranteedL2gain performance are given in terms of linear matrix inequalities (LMIs). Finally, simple illustrative examples are shown.

scholarly journals Synthesis of Decentralized Variable Gain Robust Controllers for Large-Scale Interconnected Systems with Structured Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Shunya Nagai ◽  
Hidetoshi Oya
Keyword(s):  
Robust Stability ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Transient Behavior ◽  
Matching Condition ◽  
Interconnected Systems ◽  
Feedback Gain ◽  
Robust Controller ◽  
Interconnected System ◽  
Variable Gain

In this paper, we propose a decentralized variable gain robust controller which achieves not only robust stability but also satisfactory transient behavior for a class of uncertain large-scale interconnected systems. For the uncertain large-scale interconnected system, the uncertainties and the interactions satisfy the matching condition. The proposed decentralized robust controller consists of a fixed feedback gain controller and a variable gain one determined by a parameter adjustment law. In this paper, we show that sufficient conditions for the existence of the proposed decentralized variable gain robust controller are given in terms of LMIs. Finally, a simple numerical example is included.

Decentralized Robust Control of Decomposed Uncertain Interconnected Systems

1993 ◽  
Vol 115 (4) ◽  
pp. 592-599 ◽  
Author(s):  
Cheng-Fa Cheng ◽  
Wen-June Wang ◽  
Yu-Ping Lin
Keyword(s):  
Controller Design ◽  
Interconnected Systems ◽  
Design Technique ◽  
Feedback Controls ◽  
Robust Controller ◽  
Interconnected System ◽  
Local Feedback ◽  
Decentralized Robust Control ◽  
Simulation Results ◽  
Robust Controller Design

In this paper, a new design technique of decentralized robust controllers for a class of uncertain interconnected system is provided. The interconnection matrices and the uncertainties of the system are decomposed into a matched and a mismatched portions. Since the matched portion can always be compensated by feedback controls, this new technique can provide local controllers to withstand strong inter-connections and large uncertainties. The relations among local feedback gains, uncertainty bounds, and interconnection strength are established to aid the robust controller design. A practical system with simulation results is given to exemplify the implementation of the controller design technique.

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