Large-Scale Uncertain Systems Under Insufficient Decentralized Controllers

1989 ◽  
Vol 111 (3) ◽  
pp. 359-363 ◽  
Author(s):  
Y. H. Chen
Keyword(s):  
Dynamical Systems ◽  
Uncertain Systems ◽  
Large Scale ◽  
Large Scale System ◽  
Uncertain Dynamical Systems ◽  
Partial Stability ◽  
Decentralized Controllers ◽  
Total Stability ◽  
The Stability

We consider a class of large-scale uncertain dynamical systems under decentralized controllers. The system is composed of N interconnected subsystems which possess uncertainty. Moreover, there are uncertainties in the interconnections. If the subsystems are under sufficient decentralized controllers, the large-scale system is practically stable. As certain controllers fail, study on the conditions for total stability of partial stability to be preserved is made. It can be shown that the stability is only related to bound of uncertainty and the structure of the large-scale system. Moreover, the conditions can be utilized to determine the importance of some controllers for stability.

Circle and Popov Criterion for Output Feedback Stabilization of Uncertain Systems

2006 ◽  
Vol 11 (2) ◽  
pp. 137-148 ◽  
Author(s):  
A. Benabdallah ◽  
M. A. Hammami
Keyword(s):  
Dynamical Systems ◽  
Output Feedback ◽  
Uncertain Systems ◽  
Feedback Stabilization ◽  
Stabilizing Controller ◽  
Nominal System ◽  
Output Feedback Stabilization ◽  
Uncertain Dynamical Systems

In this paper, we address the problem of output feedback stabilization for a class of uncertain dynamical systems. An asymptotically stabilizing controller is proposed under the assumption that the nominal system is absolutely stable.

scholarly journals Overlapping Decentralized Controller Design for Descriptor-type Systems with Distributed Time-delay

2021 ◽  
Vol 20 ◽  
pp. 257-263
Author(s):  
Altug Iftar
Keyword(s):  
Time Delay ◽  
Large Scale ◽  
Controller Design ◽  
Original System ◽  
Type Systems ◽  
Large Scale System ◽  
Decentralized Controllers ◽  
Distributed Time Delay

Decentralized controller design using overlapping decompositions is considered for descriptor-type systems with distributed time-delay. The approach is based on the principle of extension. In this approach, a given large-scale system is decomposed overlappingly into a number of subsystems and expanded such that the overlapping parts appear as disjoint. A decentralized controller is then designed for the expanded system. This controller is then contracted for implementation on the original system. It is shown that if the decentralized controllers are designed to stabilize the expanded system and to achieve certain performance, then the contracted controller, which would have an overlapping decentralized structure, will stabilize the original system and will achieve corresponding performance

Intelligent fuzzy algorithm for nonlinear discrete-time systems

2019 ◽  
Vol 42 (7) ◽  
pp. 1358-1374
Author(s):  
Tim Chen ◽  
CYJ Chen
Keyword(s):  
Large Scale ◽  
Optimal Solution ◽  
Bat Algorithm ◽  
Linear Matrix ◽  
Neural Network Modeling ◽  
Rule Base ◽  
Large Scale System ◽  
Model Based ◽  
Linear Differential ◽  
The Stability

This paper is concerned with the stability analysis and the synthesis of model-based fuzzy controllers for a nonlinear large-scale system. In evolved fuzzy NN (neural network) modeling, the NN model and LDI (linear differential inclusion) representation are established for the arbitrary nonlinear dynamics. The evolved bat algorithm (EBA) is first incorporated in the controlled algorithm of stability conditions, which could rapidly find the optimal solution and raise the control performance. This representation is constructed by taking advantage of sector nonlinearity that converts the nonlinear model to a multiple rule base linear model. A new sufficient condition guaranteeing asymptotic stability is implemented via the Lyapunov function in terms of linear matrix inequalities. Subsequently, based on this criterion and the decentralized control scheme, an evolved model-based fuzzy H infinity set is synthesized to stabilize the nonlinear large-scale system. Finally, a numerical example and simulation is given to illustrate the results.

On the Stability of Motion of a Large-Scale System

2003 ◽  
Vol 39 (6) ◽  
pp. 791-796 ◽  
Author(s):  
A. A. Martynyuk ◽  
V. I. Slyn'ko
Keyword(s):  
Large Scale ◽  
Stability Of Motion ◽  
Large Scale System ◽  
The Stability

scholarly journals Robust Nonfragile Controllers Design for Fractional Order Large-Scale Uncertain Systems with a Commensurate Order1<α<2

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Jianyu Lin
Keyword(s):  
Fractional Order ◽  
Uncertain Systems ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Order System ◽  
Lyapunov Inequality ◽  
Numerical Examples ◽  
Decentralized Stabilization ◽  
Controller Gain ◽  
The Stability

The paper concerns the problem of stabilization of large-scale fractional order uncertain systems with a commensurate order1<α<2under controller gain uncertainties. The uncertainties are of norm-bounded type. Based on the stability criterion of fractional order system, sufficient conditions on the decentralized stabilization of fractional order large-scale uncertain systems in both cases of additive and multiplicative gain perturbations are established by using the complex Lyapunov inequality. Moreover, the decentralized nonfragile controllers are designed. Finally, some numerical examples are given to validate the proposed method.

Robust Exponential Stability of Large-Scale System With Mixed Input Delays and Impulsive Effect

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Huanbin Xue ◽  
Jiye Zhang ◽  
Weifan Zheng ◽  
Wang Hong
Keyword(s):  
Exponential Stability ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Impulsive Effect ◽  
Differential Inequalities ◽  
Robust Exponential Stability ◽  
Large Scale System ◽  
Closed Loop Systems ◽  
The Stability ◽  
Input Delays

In this paper, a class of large-scale systems with impulsive effect, input disturbance, and both variable and unbounded delays were investigated. On the assumption that all subsystems of the large-scale system can be exponentially stabilized, and the stabilizing feedbacks and corresponding Lyapunov functions (LFs) for the closed-loop systems are available, using the idea of vector Lyapunov method and M-matrix property, the intero-differential inequalities with variable and unbounded delays were constructed. By the stability analysis of the intero-differential inequalities, the sufficient conditions to ensure the robust exponential stability of the large-scale system were obtained. Finally, the correctness and validity of the methods was verified by two numerical examples.

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