Random Communication Packet Losses Research Articles

Data-Driven $H_{\infty }$ Control of Networked Nonlinear Systems With External Disturbances and Random Communication Packet Losses

Data-Driven $H_{\infty }$ Control of Networked Nonlinear Systems With External Disturbances and Random Communication Packet Losses

Observer‐based non‐fragile event‐triggered control of extra‐corporeal blood circulation process in finite‐time interval

AbstractAn observer‐based event‐triggered non‐fragile control problem for regulating the levels of oxygen and carbon dioxide (O and CO) in patients blood during the extra‐corporeal blood circulation (ECC) process with random communication packet losses is explored in this work. The main intention of this work is to design an observer‐based event‐triggered and non‐fragile controller for ensuring the finite‐time boundedness criterion for the resulting system with mixed and passivity performance index over a finite interval of time. In addition to the limited bandwidth of the channels, such random packet losses might occur simultaneously between the sensors and the controllers, and between the controllers and the actuators. Unlike most studies in the literature, we have found that, since the controller‐actuator link has packet dropouts, the observer's control input differs from that of the plant. The sufficient conditions derived are presented in a linear matrix inequalities frame work. Finally, simulation results are used to validate the efficacy of the proposed control method. The results show that the proposed observer‐based event‐triggered non‐fragile controller keeps the blood gases within physiological limits during a stable ECC process.

Finite-time event-triggered non-fragile control and fault detection for switched networked systems with random packet losses

This paper investigates the problem of event-triggered observer-based fault detection for a class of uncertain switched nonlinear network control systems (SNNCSs) with random communication packet losses and infinite distributed delay. The main objective of this work is to design an event-triggered state feedback non-fragile H∞ controller such that the resulting closed-loop form of the considered SNNCSs is robustly finite-time bounded and satisfies a prescribed H∞ performance constraint in the finite-time interval. By employing average dwell time approach, the problem of finite-time boundedness and residual H∞ performance analysis is discussed. Specifically, a new set of conditions in the form of LMIs are derived to ensure the finite-time boundedness with the prescribed residual H∞ performance for the relevant closed-loop system. Moreover, the desired observer-based state feedback controller gain matrices and residual weighting matrices can be expressed in an explicit form. Finally, the applicability and effectiveness of the developed results are examined via numerical examples with simulation results.

Observer-based H∞ fuzzy control for discrete-time Takagi–Sugeno fuzzy mixed delay systems with random packet losses and multiplicative noises

This paper investigates the observer-based H∞ fuzzy control problem for a class of discrete-time fuzzy mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise both discrete time-varying and distributed delays. The random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based fuzzy feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance. Then a linear matrix inequality approach for designing such an observer-based H∞ fuzzy controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.

Observer-based [formula omitted] control of discrete time-delay systems with random communication packet losses and multiplicative noises

This paper investigates the observer-based H∞ control problem for a class of discrete-time mixed delay systems with random communication packet losses and multiplicative noises, where the mixed delays comprise both discrete and distributed time-varying delays, the random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance. Then a linear matrix inequality (LMI) approach for designing such an observer-based H∞ controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results.

Observer‐based H ∞ control of discrete Markovian jump delay systems with random packet losses and multiplicative noises

SUMMARYThis paper investigates the observer‐based H ∞ control problem for a class of mixed‐delay Markovian jump systems with random communication packet losses and multiplicative noises. The mixed delays comprise both discrete time‐varying delays and distributed delays, the random packet losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the multiplicative disturbances are in the form of a scalar Gaussian white noise with unit variance. In the presence of mixed delays, random packet losses and multiplicative noises, sufficient conditions for the existence of an observer‐based feedback controller are derived such that the closed‐loop control system is asymptotically mean‐square stable and preserves a guaranteed H ∞ performance. Then, a linear matrix inequality approach for designing such an observer‐based H ∞ controller is presented. Finally, a numerical example is provided to illustrate the effectiveness of the developed theoretical results. Copyright © 2012 John Wiley & Sons, Ltd.

Observer-based H∞ control of a class of mixed delay systems with random data losses and stochastic nonlinearities

This paper investigates the observer-based H∞ control problem for a class of discrete-time mixed delay systems with random communication packet losses and stochastic nonlinearities. The mixed delays comprise both discrete time-varying and distributed delays, the random data losses are described by a Bernoulli distributed white sequence that obeys a conditional probability distribution, and the stochastic nonlinearities in the form of statistical means cover several well-studied nonlinear functions. In the presence of mixed delays, random packet losses and stochastic nonlinearities, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop control system is asymptotically mean-square stable and preserves a guaranteed H∞ performance.

Robust $H_{\infty}$ Control for Networked Systems With Random Packet Losses

In this paper, the robust H infinity control problem is considered for a class of networked systems with random communication packet losses. Because of the limited bandwidth of the channels, such random packet losses could occur, simultaneously, in the communication channels from the sensor to the controller and from the controller to the actuator. The random packet loss is assumed to obey the Bernoulli random binary distribution, and the parameter uncertainties are norm-bounded and enter into both the system and output matrices. In the presence of random packet losses, an observer-based feedback controller is designed to robustly exponentially stabilize the networked system in the sense of mean square and also achieve the prescribed H infinity disturbance-rejection-attenuation level. Both the stability-analysis and controller-synthesis problems are thoroughly investigated. It is shown that the controller-design problem under consideration is solvable if certain linear matrix inequalities (LMIs) are feasible. A simulation example is exploited to demonstrate the effectiveness of the proposed LMI approach.