The improved H ∞ controller design for nonlinear networked control systems with random communication delays

Summary The asynchronous control for the unified model of chaotic systems with Markovian jumping parameters is considered via the Takagi‐Sugeno (T‐S) fuzzy approach in this paper. According to jumping modes for chaotic systems and modes for the asynchronous controller, a double‐mode process is generated. By introducing the hidden Markov model (HMM), the asynchronization phenomenon is represented between the controller and chaotic systems. By linear matrix inequalities (LMIs), some conditions are received to guarantee the stochastic stability and the strict dissipativity for chaotic systems. Based on the stochastic stability theory and the dissipativity theory, the asynchronous controller is discussed. The proposed method can be applied to the mode‐independent controller and the synchronous controller. Finally, the effectiveness of the proposed controller is illustrated by two examples.

“…then system (12) is stochastic stability and strict dissipativity. Furthermore, the controller is achieved by…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Figurementioning

confidence: 99%

Section: Figurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Asynchronous control of T‐S fuzzy chaotic systems via a unified model using the hidden Markov model subject to strict dissipativity

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Chen

et al. 2019

Robust H_∞ output feedback design for networked control systems with partially known delay probabilities

Haghighi

Tavassoli

2020

SummaryThis article develops a predictive robust H∞ static output feedback control approach for networked control systems where random network‐induced delays in both forward and feedback communication channels are modeled as two mutually uncorrelated Markov chains. By making use of the system augmentation method, the closed‐loop system is formulated as a singular Markovian jump system with two modes, wherein the transition probability matrices of the underlying Markov chains are considered to be partially accessible. Necessary and sufficient conditions for the stochastic admissibility and robust H∞ performance of the closed‐loop system are given under the assumption of partially known transition probability matrices. A linear matrix inequality condition is proposed to determine the two‐mode‐dependent static output feedback controller gains to compensate for the random network‐induced delays efficiently and provide the desired control performance. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

Improved robustH_∞stability analysis and stabilization of uncertain systems with stochastic input time‐varying delays

Bourahala

Rouamel

Guelton

2021

This article focus on the robust H ∞ stability analysis and controller design for a class of uncertain and disturbed continuous-time systems with input time-varying delays characterized by stochastic Bernoulli distributions. First, robust H ∞ stability conditions for linear continuous systems with interval input time-varying delays is investigated. A delay-distribution-approach is considered to reduce the conservatism of the stability conditions from the convenient selection of a Lyapunov-Krasovskii functional (LKF), which considers both the lower and upper bounds of the stochastic time-varying delay to derive new delay-dependent H ∞ stability conditions in terms of linear matrix inequalities (LMIs). Then, derived from the proposed stability conditions, LMI-based conditions for the design of stabilizing robust H ∞ delayed state feedback controller are proposed. Finally, five numerical examples are considered to show the effectiveness of the proposed stability analysis and controller design conditions, in comparison to previous related results.