Finite-Time Control for Discrete-Time Positive Systems Subject to Event-Triggered Scheme and Markov Jump Parameters

Article Engineering, Electrical & Electronic

Finite-Time Stabilization of Markov Switching Singularly Perturbed Models

Wenhai Qi et al.

Summary: This brief discusses the issue of finite-time stabilization of discrete-time stochastic singularly perturbed models, where the stochastic process is regulated by a Markov chain with partially unknown transition probabilities. The paper considers the slow-state and fast-state variables and obtains a Markov switching model with a singularly perturbed parameter in a unified framework. It develops a finite-time stability criterion to prevent ill-conditioned problems caused by a small perturbation parameter and derives feasible conditions for the desired finite-time state feedback controller using matrix inequalities that are independent of the perturbation parameter. The effectiveness of the control strategy is illustrated using a gear-driven DC motor model.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2022)

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Article Automation & Control Systems

Leader-Following Consensus for a Class of Nonlinear Multiagent Systems Under Event-Triggered and Edge-Event Triggered Mechanisms

Huaguang Zhang et al.

Summary: This article studies the leader-following consensus problem for a class of nonlinear multiagent systems (MASs) with limited network bandwidth. It proposes novel event-triggered and asynchronous edge-event triggered mechanisms to reduce unnecessary information transmission and introduces static and dynamic consensus protocols to address the problem. The systems will not exhibit Zeno behavior under these control schemes.

IEEE TRANSACTIONS ON CYBERNETICS (2022)

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Article Automation & Control Systems

Positiveness and Finite-Time Control of Dual-Switching Poisson Jump Networked Control Systems With Time-Varying Delays and Packet Drops

Chengcheng Ren et al.

Summary: This article studies the stochastically finite-time L-2 control problem for the time-varying delay positive dual-switching Poisson jump networked control systems (TVD-PDSPJ-NCSs) with packet drops. A proper finite-time state feedback controller is designed and the optimal solution of the switching law is obtained to achieve system's positivity, boundedness and L-2 disturbance attenuation performance.

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS (2022)

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Article Engineering, Electrical & Electronic

Asynchronous Event-Triggered Sliding Mode Control for Semi-Markov Jump Systems Within a Finite-Time Interval

Jing Wang et al.

Summary: This paper investigates the finite-time sliding mode control issue for a series of semi-Markov jump systems and proposes an asynchronous event-triggered sliding mode control law. By introducing an event-triggered protocol and mode-dependent Lyapunov functions, the sufficient conditions are derived to ensure that the closed-loop system is mean-square finite-time bounded in both reaching and sliding motion phases.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS (2021)

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Article Engineering, Electrical & Electronic

A Unified Finite-/Fixed-Time Synchronization Approach to Multi-Layer Networks

Yuhua Xu et al.

Summary: This brief investigates synchronization of multi-layer networks by a new unified finite-/fixed-time (FTT/FXT) control approach. The study proposes a new unified FTT/FXT stability theorem of dynamical system and gains novel sufficient criteria for FTT/FXT synchronization of multi-layer networks using continuous or discontinuous controllers. A unified framework for FTT/FXT synchronization of multi-layer networks is given, and the relationship between the minimum FTT/FXT and the number of network layers is established, with numerical simulations provided to verify the method's effectiveness.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2021)

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Article Automation & Control Systems

Fuzzy Control and Filtering for Nonlinear Singularly Perturbed Markov Jump Systems

Yueying Wang et al.

Summary: This article addresses the H-infinity control and filtering problems for Markov jump singularly perturbed systems approximated by Takagi-Sugeno fuzzy models. The mode- and variation-dependent fuzzy static output feedback controller and filter are designed, respectively, to fulfill the control and filtering purposes.

IEEE TRANSACTIONS ON CYBERNETICS (2021)

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Article Automation & Control Systems

Finite-Time L-2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach

Chengcheng Ren et al.

Summary: This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems using the Takagi-Sugeno fuzzy model method. The focus is on deriving a suitable controller depending on the observation mode to ensure system boundedness, positivity, and given performance index within a finite time. The feasibility and validity of the main results are demonstrated using a Lotka-Volterra population model.

IEEE TRANSACTIONS ON CYBERNETICS (2021)

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Article Engineering, Electrical & Electronic

New Results on Stability Analysis and Estimator Design for Switched Positive Linear Systems: A Reverse-Timer-Dependent Linear Co-Positive Lyapunov Function Approach

Yang Li et al.

Summary: This paper addresses stability and estimator design issues for switched positive linear systems with average dwell time (ADT). A reverse-timer-dependent linear co-positive Lyapunov function (RLCLF) is proposed, leading to a new stability criteria and a sufficient condition for the existence of state estimator. The results obtained by RLCLF approach are shown to be less conservative compared with those in the literature, and the advantages of the approach are illustrated through two examples.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2021)

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Article Engineering, Electrical & Electronic

Stability Analysis of Discrete-Time Switched Positive Nonlinear Systems With Unstable Subsystems Under Different Switching Strategies

Niankun Zhang et al.

Summary: This study investigates the stability problem of discrete-time switched positive nonlinear systems (SPNSs) with unstable subsystems under different switching signals. A stability criterion is proposed using multiple Lyapunov functions (MLFs) and extended to switched positive linear systems (SPLSs). A special Lyapunov function is constructed based on the properties of system functions, and the results are validated through simulations.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS (2021)

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Article Computer Science, Artificial Intelligence

Fixed-Time Synchronization of Coupled Neural Networks With Discontinuous Activation and Mismatched Parameters

Na Li et al.

Summary: This article introduces a new lemma for fixed-time stability, which is less conservative than existing results. By utilizing simple controllers, a discontinuous neural network with mismatched parameters can synchronize to the target state within a theoretically estimated settling time, independent of initial values. The estimated settling time is closer to the real synchronization time compared to existing literature, as demonstrated through numerical simulations.

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2021)

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Article Engineering, Electrical & Electronic