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.

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 New Decentralized Control of Interconnected Systems

2020 ◽  
Vol 9 (4) ◽  
pp. 2252-2260
Keyword(s):  
Closed Loop ◽  
Sufficient Conditions ◽  
Interconnected Systems ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Matrix Inequalities ◽  
Interconnected System ◽  
Local Controller ◽  
The Stability ◽  
Finsler’S Lemma

In this paper, we present a new decentralized H∞ control for interconnected systems, the interconnected system consists of several subsystems. The proposed approach based on Lyapunov functional and a H∞ criterion, employed to reduce the effect of interconnections between subsystems. In the first, we study the stability of the global system in closed loop using a criterion H∞, the stability conditions are presented in terms of LMI. In the second, to improve this approach, a Finsler’s lemma is used for the stability analysis by LMIs. Some sufficient conditions, ensuring all the closed-loop stability are supplied in terms of Linear Matrix Inequalities (LMIs), and the new feedback gain matrix of each local controller is obtained by solving the LMIs. Finally, the practice examples are given to illustrate the efficiency of the present method

A decentralized observer-based optimal control for interconnected systems using the block pulse functions

2020 ◽  
Vol 42 (15) ◽  
pp. 3063-3075
Author(s):  
Soumaya Ghali ◽  
Abdelaziz Benallegue ◽  
Salwa Elloumi
Keyword(s):  
Optimal Control ◽  
Large Scale ◽  
Control Method ◽  
Interconnected Systems ◽  
Mathematical Programming Problem ◽  
Interconnected System ◽  
Control Approach ◽  
Block Pulse Functions ◽  
Primary Focus ◽  
Decentralized Observer

The paper proposes a method to integrate numerically an interconnected system, based on an idea of orthogonal approximation of functions. Here, block pulse functions (BPFs) are chosen as the orthogonal set. The main advantage of using this technique is its ability to transform the original optimal control problem to a mathematical programming problem relatively easier to solve. The primary focus of this paper is to exploit and rigorously develop the BPFs parametrization technique for the synthesis of a decentralized observer-based optimal control for large-scale interconnected systems. In addition, we develop a mathematical model of a double-parallel inverted pendulum coupled by a spring, taking into account all possible changes of the connecting position of the elastic spring. In so doing, we conducted advanced simulations applying the new optimal control method to the studied interconnected system. Our results demonstrate the validity and the effectiveness of the developed decentralized observer-based optimal control approach.

scholarly journals Synthesis of Adaptive Robust Controllers for a Class of Nonlinear Systems with Input Saturations

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Kenta Oba ◽  
Hidetoshi Oya ◽  
Tomohiro Kubo ◽  
Tsuyoshi Matsuki
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Linear Matrix Inequalities ◽  
Design Problem ◽  
Sufficient Conditions ◽  
Matching Condition ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Controllers ◽  
Robust Controller

This paper deals with a design problem of an adaptive robust controller for a class of nonlinear systems with specified input saturations. For the nonlinear system under consideration, the nonlinearity means unknown perturbations and satisfies the matching condition. In this paper, we show that sufficient conditions for the existence of the proposed adaptive robust controller giving consideration to input saturations are given in terms of linear matrix inequalities (LMIs). Finally, simple illustrative examples are shown.

Local State Covariance Assignment for Stochastic Large-Scale Systems

1999 ◽  
Vol 121 (1) ◽  
pp. 139-142 ◽  
Author(s):  
Koan-Yuh Chang ◽  
Wen-June Wang
Keyword(s):  
Large Scale ◽  
Sliding Mode ◽  
Variable Structure ◽  
Matching Condition ◽  
Local State ◽  
Invariance Property ◽  
Feedback Gain ◽  
Variable Structure Systems ◽  
Large Scale Systems ◽  
Structure Control

Based on the concept of variable structure control, this paper investigates the local state covariance assignment problem for stochastic large-scale systems. By using the invariance property of variable structure systems, the interconnection terms with matching condition will disappear on the sliding mode. With the aid of Ito-formula, the hitting controller of each subsystem is derived. Combining the sliding phase and hitting phase of the system design, the local feedback gain matrix Gi for each subsystem is obtained to achieve the local state covariance assignment.

Sign in / Sign up

Export Citation Format

Share Document