scholarly journals H∞Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Yantao Wang ◽  
Xingming Zhou ◽  
Xian Zhang
Keyword(s):  
Regulatory Networks ◽  
External Disturbance ◽  
Measurement Data ◽  
Genetic Regulatory Networks ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Random Delay ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Disturbance Attenuation Level

This paper is concerned with theH∞filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to designH∞filter to estimate the true concentrations of mRNAs and proteins based on available measurement data. By introducing an appropriate Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs) which makes the filtering error system stochastically stable with a prescribedH∞disturbance attenuation level. The filter gains are given by solving the LMIs. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach; that is, our approach is available for a smallerH∞disturbance attenuation level than one in (Liu et al., 2012).

scholarly journals H∞Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Yucai Ding ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang ◽  
Yong Zeng
Keyword(s):  
Nonlinear Systems ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Error System ◽  
Disturbance Attenuation Level ◽  
Filtering Problem

H∞filtering problem for a class of piecewise homogeneous Markovian jump nonlinear systems is investigated. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribedH∞disturbance attenuation level. By using a new mode-dependent Lyapunov-Krasovskii functional, mixed mode-dependent sufficient conditions on stochastic stability are formulated in terms of linear matrix inequalities (LMIs). Based on this, the mode-dependent filter is obtained. A numerical example is given to illustrate the effectiveness of the proposed main results.

H∞ Filtering for Markov Jump Systems with Mixed Modes

2013 ◽  
Vol 706-708 ◽  
pp. 585-588
Author(s):  
Shu Lv ◽  
Shou Ming Zhong ◽  
Yu Cai Ding
Keyword(s):  
Stochastic Stability ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Disturbance Attenuation Level ◽  
System Mode ◽  
Jump Systems

In this study, H_infinity filtering problem for a class of stochastic Markov jump systems is investigated. The system mode is assumed to be different from the delay mode. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribed disturbance attenuation level. By using a mode-dependent Lyapunov functional, mixed mode-dependent sufficient condition on stochastic stability is formulated in terms of linear matrix inequalities. Based on the stochastic stability criterion, an H_infinity filter is developed.

scholarly journals Control for Networked Control Systems with Time Delays and Packet Dropouts

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Yilin Wang ◽  
Hamid Reza Karimi ◽  
Zhengrong Xiang
Keyword(s):  
Control Systems ◽  
Networked Control Systems ◽  
Average Dwell Time ◽  
Networked Control ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Packet Dropouts ◽  
Attenuation Level ◽  
Mean Square Exponential Stability ◽  
Disturbance Attenuation Level

This paper is concerned with the control issue for a class of networked control systems (NCSs) with packet dropouts and time-varying delays. Firstly, the addressed NCS is modeled as a Markovian discrete-time switched system with two subsystems; by using the average dwell time method, a sufficient condition is obtained for the mean square exponential stability of the closed-loop NCS with a desired disturbance attenuation level. Then, the desired controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Robust stabilization and H∞ control for discrete-time stochastic genetic regulatory networks with time delays

2012 ◽  
Vol 90 (10) ◽  
pp. 939-953 ◽  
Author(s):  
K. Mathiyalagan ◽  
R. Sakthivel
Keyword(s):  
Discrete Time ◽  
Regulatory Networks ◽  
Robust Stabilization ◽  
Genetic Regulatory Networks ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Time Varying ◽  
Parameter Uncertainties ◽  
Time Varying Delay ◽  
Stochastic Genetic Regulatory Networks

This paper presents some novel results on robust stabilization and H∞ control design for a class of uncertain discrete-time stochastic genetic regulatory networks (GRNs) with time-varying delays. The GRNs under consideration are subject to stochastic noise, time-varying, and norm bounded parameter uncertainties. By constructing a new Lyapunov–Krasovskii functional that contains some novel triple summation terms, we propose a state feedback gene controller to guarantee that the considered GRN is mean-square asymptotically stable about its equilibrium point for all admissible uncertainties. The other issue is to design a H∞ feedback gene controller so that the GRN is robustly stable with a prescribed H∞ disturbance attenuation level for all admissible uncertainties and for all delays to satisfy both the lower bound and upper bound of the interval time-varying delay. The obtained conditions are derived in terms of linear matrix inequalities (LMIs), which can be easily verified via the LMI toolbox. Finally, the control scheme has been implemented in a gene network model to illustrate the applicability and usefulness of the obtained results.

scholarly journals RobustH∞Filtering for Networked Control Systems with Random Sensor Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Shenping Xiao ◽  
Liyan Wang ◽  
Hongbing Zeng ◽  
Lingshuang Kong ◽  
Bin Qin
Keyword(s):  
Networked Control Systems ◽  
Filter Design ◽  
Design Method ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Attenuation Level ◽  
Exponentially Stable ◽  
Disturbance Attenuation Level ◽  
Filter Design Method

The robustH∞filtering problem for a class of network-based systems with random sensor delay is investigated. The sensor delay is supposed to be a stochastic variable satisfying Bernoulli binary distribution. Using the Lyapunov function and Wirtinger’s inequality approach, the sufficient conditions are derived to ensure that the filtering error systems are exponentially stable with a prescribedH∞disturbance attenuation level and the filter design method is proposed in terms of linear matrix inequalities. The effectiveness of the proposed method is illustrated by a numerical example.

scholarly journals H∞ Robust T-S Fuzzy Design for Uncertain Nonlinear Systems with State Delays Based on Sliding Mode Control

2010 ◽  
Vol 5 (4) ◽  
pp. 592 ◽  
Author(s):  
Xizheng Zhang ◽  
Yaonan Wang ◽  
Xiaofang Yuan
Keyword(s):  
Nonlinear Systems ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Mode Control ◽  
Disturbance Attenuation Level ◽  
Takagi Sugeno

This paper presents the fuzzy design of sliding mode control (SMC) for nonlinear systems with state delay, which can be represented by a Takagi-Sugeno (TS) model with uncertainties. There exist the parameter uncertainties in both the state and input matrices, as well as the unmatched external disturbance. The key feature of this work is the integration of SMC method with H∞ technique such that the robust asymptotically stability with a prescribed disturbance attenuation level γ can be achieved. A sufficient condition for the existence of the desired SMC is obtained by solving a set of linear matrix inequalities (LMIs). The reachability of the specified switching surface is proven. Simulation results show the validity of the proposed method.

scholarly journals H∞Stochastic Control of a Class of Networked Control Systems with Time Delays and Packet Dropouts

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Jufeng Wang ◽  
Chunfeng Liu ◽  
Kai Li
Keyword(s):  
Control Systems ◽  
Stochastic Control ◽  
Time Delays ◽  
Networked Control Systems ◽  
Networked Control ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Packet Dropouts ◽  
Attenuation Level ◽  
Disturbance Attenuation Level

This paper studies theH-infinity stochastic control problem for a class of networked control systems (NCSs) with time delays and packet dropouts. The state feedback closed-loop NCS is modeled as a Markovian jump linear system. Through using a Lyapunov function, a sufficient condition is obtained, under which the system is stochastically exponential stability with a desiredH-infinity disturbance attenuation level. The designedH-infinity controller is obtained by solving a set of linear matrix inequalities with some inversion constraints. An numerical example is presented to demonstrate the effectiveness of the proposed method.

scholarly journals Finite frequency H∞ control for wind turbine systems in T-S form

2020 ◽  
Vol 11 (3) ◽  
pp. 1313
Author(s):  
Salma Aboulem ◽  
Abderrahim EL-Amrani ◽  
Ismail Boumhidi
Keyword(s):  
Wind Turbine ◽  
Fuzzy Systems ◽  
State Feedback ◽  
Fuzzy Model ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Finite Frequency ◽  
Attenuation Level ◽  
Disturbance Attenuation Level ◽  
Finsler’S Lemma

In this work, we study H<sub>∞</sub> control wind turbine fuzzy model for finite frequency(FF) interval. Less conservative results are obtained by using Finsler’s lemma technique, generalized Kalman Yakubovich Popov (gKYP), linear matrix inequality (LMI) approach and added several separate parameters, these conditions are given in terms of LMI which can be efficiently solved numerically for the problem that such fuzzy systems are admissible with H∞ disturbance attenuation level. The FF H∞ performance approach allows the state feedback command in a specific interval, the simulation example is given to validate our results.

scholarly journals Filtering-Based Fault Detection for Stochastic Markovian Jump System with Distributed Time-Varying Delays and Mixed Modes

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
Yucai Ding ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang ◽  
Jianwei Xia
Keyword(s):  
Fault Detection ◽  
Detection System ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jump ◽  
Stochastic Disturbance ◽  
Markovian Jump System ◽  
Stochastically Stable ◽  
Disturbance Attenuation Level

The problem of fault detection for stochastic Markovian jump system is considered. The system under consideration involves discrete and distributed time-varying delays, Itô-type stochastic disturbance, and different system and delay modes. The aim of this paper is to design a fault detection filter such that the fault detection system is stochastically stable and satisfies a prescribedH∞disturbance attenuation level. By using a novel Lyapunov functional, a mix-mode-dependent sufficient condition is formulated in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed main results.

scholarly journals On fault tolerant control structures incorporating fault estimation

2016 ◽  
Vol 26 (4) ◽  
pp. 453-469
Author(s):  
Dušan Krokavec ◽  
Anna Filasová ◽  
Pavol Liščinský
Keyword(s):  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Disturbance Attenuation ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Convex Constraints ◽  
Control Structures ◽  
Joint Design ◽  
Attenuation Level ◽  
Disturbance Attenuation Level

AbstractThe paper provides the minimal necessary modifications of linear matrix inequality conditions for the mixed H2/H∞control design as well as for the augmented observer-based fault estimation to be mutually compatible in joint design of integrated fault estimation and fault tolerant control. To be possible, within this integration, to design the controller which guarantees a pre-specified H∞norm disturbance attenuation level, the design conditions has to be regularized using the H2performance index and, moreover, augmented fault observer must be of enforced dynamics. Analyzing the ambit of performances given on the mixed H2/H∞design, the joint design conditions are formulated as a minimization problem subject to convex constraints expressed by a system of LMIs. The feasibility of the conditions is demonstrated by a numerical example.

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