This study tackles the reliable reachable set synthesis issue for a class of hidden semi-Markov jump systems (HSMJSs). Due to the inaccessibility of system states and the asynchronous phenomenon in the information transmission process, the study of HSMJSs faces significant challenges. To address these challenges, a state observer is designed, and a dynamic event-triggered mechanism based on the observed signal is introduced to effectively alleviate the communication load. In addition, the security of the network channel can be easily compromised by denial-of-service attacks. To mitigate these issues, a secure asynchronous controller (SAC) is constructed based on an observer and a hidden Markov model. Then, the reachable set boundaries are derived by combining the designed observer and the SAC. The gains of the controller and the observer are attained. Finally, a circuit model is provided to demonstrate the validity and practicability of the proposed approach.
Liang Zhang, Zhihao Shen, Ben Niu et al.· IEEE Transactions on Reliabi...· 1 citation
This article investigates the asynchronous mixed $H_{\infty } $ and passive control for discrete-time switched systems subject to denial-of-service (DoS) attacks and communication resource constraints. In order to alleviate the communication pressure, an event-triggered mechanism (ETM) is adopted. However, due to the introduction of ETM, the asynchronous phenomenon may occur between the subsystem and controller. In addition, DoS attacks can have adverse effects on system performance by interfering with communication channels. To address the above issues, a weighted mixed $H_{\infty } $ and passivity performance criterion is adopted to balance disturbance attenuation and energy dissipation. On this basis, the Lyapunov function method is used to design the average dwell time (ADT) switching signal, ensuring that the asynchronous switched system is globally uniformly asymptotically stable (GUAS). Meanwhile, the design strategy of the controller is presented in the form of linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed method is demonstrated through a practical example.
Liang Zhang, Jing Liang, N. Zhao et al.· IEEE Transactions on Cyberne...· 1 citation
This paper investigates the practical predefined-time adaptive tracking control problem for uncertain nonlinear systems with input saturation. First, a practical predefined-time stability lemma is established, providing a theoretical basis for the controller design. Second, to eliminate the adverse effect of input saturation, a desired trajectory modification module is constructed, making the tracking mission more feasible. This scheme prevents the internal instability that traditional control schemes may encounter in the presence of input saturation. By constructing the predefined performance function and performing the coordinate transformation, it can be guaranteed that the tracking error does not exceed the constraint boundary while improving the transient performance of nonlinear systems. In addition, by combining the core function with the smooth projection operator to design the adaptive law, the non-parametric uncertainty problem is solved. Based on the predefined-time stability lemma within the framework of adaptive backstepping control method, a predefined-time adaptive tracking controller is designed. Mathematically, it is rigorously proven that the closed-loop system is practical predefined-time stable, and tracking error always evolves within the prescribed performance boundary. Finally, simulations are performed using the Micro-Electro-Mechanical System to verify theoretical findings. Note to Practitioners—Uncertain nonlinear systems are prevalent in engineering applications, such as Micro-Electro-Mechanical Systems (MEMS), industrial robotic arms, and precision manufacturing equipment. For these systems, stable tracking control confronts three key practical challenges: non-parametric uncertainties that degrade control accuracy, input saturation that triggers system internal instability, and the requirement for tracking tasks to be completed within a predefined time while satisfying error constraints. To address these challenges, this paper proposes a practical predefined-time adaptive tracking control method. Specifically, this method employs: a desired trajectory modification module to mitigate input saturation, a predefined performance function to constrain tracking errors, and an adaptive law to address non-parametric uncertainties. As the method is rigorously proven to be stable, its effectiveness is further verified through MEMS-based simulations. For practitioners working on the control of uncertain nonlinear systems, this work provides a reliable, time-constrained solution that bridges the gap between theoretical control design and real-world engineering requirements.
Yudi Wang, Jieshuai Wu, Guangdeng Zong et al.· IEEE Transactions on Automat...· 0 citations
This work investigates sliding mode control (SMC) for stirred tank reactor (STR) under semi-Markov switching with bi-boundary sojourn time (ST). Compared with traditional discrete hybrid systems, both the upper and lower bounds of the ST are considered for each mode, providing a more accurate characterization of the system than the upper bound. Based on the statistical properties of the semi-Markov kernel (SMK), the SMK is assumed to be partly known. Owing to the limited research on SMC for discrete hybrid systems with semi-Markov switching and bi-boundary ST, the main contribution of this work is the development of the SMC law that guarantees the reachability of the quasi-sliding mode (QSM), together with a linear matrix inequality-based framework that accommodates partly known SMK information. The proposed SMC law drives the system states to a prespecified sliding region while effectively compensating for parameter uncertainties. Finally, numerical simulations are presented to demonstrate the effectiveness of the proposed control method.
Wenhai Qi, Feiyue Shen, Guangdeng Zong et al.· IEEE Transactions on Cyberne...· 0 citations
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