scholarly journals DecentralizedH∞Control for Large-Scale Systems with Uncertain Missing Measurements Probabilities

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Ying Zhou ◽  
Qiang Zang ◽  
Chunxia Fan
Keyword(s):  
Large Scale ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Missing Measurements ◽  
Conditional Probability Distribution ◽  
Large Scale Systems ◽  
Binary Switching

For large-scale systems which are modeled as interconnection ofNnetworked control systems with uncertain missing measurements probabilities, a decentralized state feedbackH∞controller design is considered in this paper. The occurrence of missing measurements is assumed to be a Bernoulli random binary switching sequence with an unknown conditional probability distribution in an interval. A state feedbackH∞controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribedH∞performance is guaranteed. Sufficient conditions are derived for the existence of such controller. A numerical example is also provided to demonstrate the validity of the proposed design approach.

scholarly journals H∞Filter Design for Large-Scale Systems with Missing Measurements

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ying Zhou ◽  
Shuming Yang ◽  
Qiang Zang
Keyword(s):  
Large Scale ◽  
Filter Design ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Mean Square ◽  
Missing Measurements ◽  
Large Scale Systems ◽  
Error System ◽  
Simulation Results

This paper is concerned withH∞filter design problem for large-scale systems with missing measurements. The occurrence of missing measurements is assumed to be a Bernoulli distributed sequence with known probability. The new full-dimensional filter is designed to make the filter error system exponentially mean-square stable and achieve a prescribedH∞performance. Sufficient conditions are derived in terms of linear matrix inequality (LMI) for the existence of the filter, and the parameters of filter are obtained by solving the LMI. Finally, the numerical simulation results illustrate the effectiveness of the proposed scheme.

Non-Fragile Decentralized Control for the Uncertain Singular Large-Scale Systems with Time-Delay

2011 ◽  
Vol 317-319 ◽  
pp. 2204-2207
Author(s):  
Dong Mei Yang ◽  
Qing Sun
Keyword(s):  
Time Delay ◽  
Linear Matrix Inequalities ◽  
Decentralized Control ◽  
Large Scale ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Large Scale Systems ◽  
System With Time Delay

This paper is concerned with the non-fragile decentralized controller design problem for uncertain singular large-scale system with time-delay. Sufficient condition for the controller is expressed in terms of linear matrix inequalities(LMIs). When this condition is feasible, the desired controller can be obtained with additive gain perturbations and multiplicative gain perturbations. Finally, a numerical example is also given to illustrate the effectiveness.

scholarly journals Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. Rajchakit ◽  
P. Niamsup ◽  
T. Rojsiraphisal ◽  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Performance Measure ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Guaranteed Cost

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

Design of State Feedback Controller for Discrete Systems with Time-Delay

2013 ◽  
Vol 347-350 ◽  
pp. 695-700
Author(s):  
Shuai Tian He ◽  
Zhi Chang Li
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
State Feedback ◽  
Controller Design ◽  
Dynamic Performance ◽  
Sufficient Conditions ◽  
Discrete Systems ◽  
Adjustable Parameter ◽  
Linear Matrix ◽  
Feedback Gain

The stability analysis and controller design of discrete linear systems with time-varying delay are addressed. Firstly, the uniformly asymptotical stability criterion with adjustable parameter is derived by Lyapunov-Razumikhin approach. Then, the stabilization approaches for linear systems with time delay by state feedback and observer based-on state feedback are also presented. Sufficient conditions for the existence of state feedback gain and the observer gain are derived through the numerical solution of a set of obtained linear matrix inequalities. Compared with methods in the references, the dynamic performance of systems, such as the overshoot and the convergence rate of the response, can be adjusted by changing the adjustable parameter. Lastly, an illustrative example is given to show the effectiveness of the proposed.

An LMI Approach to Guaranteed Cost Control of Networked Control Systems with Nonlinear Perturbation

2011 ◽  
Vol 480-481 ◽  
pp. 1352-1357
Author(s):  
Nan Xie ◽  
Bin Xia
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Quadratic Cost ◽  
Guaranteed Cost ◽  
Cone Complementarity Linearization

This paper is concerned with the problem of state-feedback guaranteed cost controller design for uncertain networked systems with both network-induces delay and data dropout taken into consideration. The sufficient condition for the existence of the networked guaranteed quadratic cost controller is obtained in terms of matrix inequalities, and the controller design method is deduced in terms of linear matrix inequalities. Furthermore, the suboptimal networked guaranteed cost controller design method is obtained with cone complementarity linearization algorithm. A numerical example is given to illustrate the proposed method.

scholarly journals Linear Matrix Inequalities in Multirate Control over Networks

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Ángel Cuenca ◽  
Ricardo Pizá ◽  
Julián Salt ◽  
Antonio Sala
Keyword(s):  
Linear Matrix Inequalities ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Test Bed ◽  
Control Techniques ◽  
Multirate Control ◽  
Theoretical Proposal

This paper faces two of the main drawbacks in networked control systems: bandwidth constraints and timevarying delays. The bandwidth limitations are solved by using multirate control techniques. The resultant multirate controller must ensure closed-loop stability in the presence of time-varying delays. Some stability conditions and a state feedback controller design are formulated in terms of linear matrix inequalities. The theoretical proposal is validated in two different experimental environments: a crane-based test-bed over Ethernet, and a maglev based platform over Profibus.

BIBO Stabilization of Fuzzy Large-Scale Systems via State Feedback

2010 ◽  
Vol 108-111 ◽  
pp. 386-391
Author(s):  
Gui Hua Li ◽  
Jun Yang ◽  
Shou Ming Zhong
Keyword(s):  
Lyapunov Function ◽  
Explicit Expression ◽  
Large Scale ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Stabilization Problem ◽  
Lmi Approach ◽  
Large Scale Systems

In this paper, the BIBO stabilization problem for a class of fuzzy large-scale systems is investigated. Based on the Lyapunov function and the LMI approach, sufficient conditions for the solvability of this problem are proposed in terms of LMIs, and an explicit expression of the desired controller is readily given when these LMIs are feasible.

Robust Nonfragile Decentralized Controller Design for Uncertain Large-Scale Interconnected Systems With Time-Delays

2002 ◽  
Vol 124 (2) ◽  
pp. 332-336 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Time Delays ◽  
Large Scale ◽  
Lyapunov Method ◽  
Controller Design ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Large Scale Systems ◽  
Controller Gain ◽  
Decentralized Controllers

This paper describes the synthesis of robust nonfragile decentralized controllers for uncertain large-scale systems with time-delays in the subsystem interconnections and controller gain variations. Based on the Lyapunov method, a sufficient condition for robust stability is derived in terms of a linear matrix inequality (LMI), and the measure of nonfragility in controller is presented.

Observer-based tracking controller design for a class of Lipschitz nonlinear systems

2017 ◽  
Vol 24 (11) ◽  
pp. 2112-2119 ◽  
Author(s):  
Meysam Yadegar ◽  
Ahmad Afshar ◽  
Mohammadreza Davoodi
Keyword(s):  
Nonlinear Systems ◽  
State Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
State Variables ◽  
Separation Principle ◽  
Flexible Link ◽  
Lipschitz Nonlinear Systems ◽  
Reference Input

In this paper, the observer-based controller design problem for tracking a constant reference input in Lipschitz nonlinear systems is addressed. To this end, at first, a state feedback controller is proposed and sufficient conditions for solvability of the problem are obtained in terms of linear matrix inequality feasibility conditions. Then, it is shown that for the considered Lipschitz nonlinear system, the separation principle holds and the estimation state variables can be used instead of the state variables. Subsequently, an observer for estimating the states of the system and also an observer-based controller is designed. Simulation results on a flexible link are given to verify the effectiveness of the proposed controller.

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