Asian Journal of Control最新文献

This paper aims for precise tracking with disturbance rejection and low energy consumption. An event-triggered controller based on a sampled-data enhanced extended state observer (SD-EESO) is designed for a networked tracking system. In this method, the measured output and the given signal are sampled and transmitted to an observer, which is designed to periodically estimate the negative disturbance and tracking errors. Furthermore, a dynamic event-triggered state feedback–feedforward controller is developed. It is shown that as long as the sampling period satisfies the given condition, the estimation error and the tracking error are both globally bounded stable. The numerical simulation and the direct current (DC) brush motor position control example show the superiority of the designed control scheme.

This paper introduces a novel framework for finite-time stability (FTS) analysis of fractional-order systems using the Caputo fractional derivative (CFD) with respect to another function—a derivative operator that has not been comprehensively explored in control theory, particularly in the context of FTS. By extending the well-established Caputo–Hadamard fractional derivative, we address its application to nonlinear systems and establish rigorous theoretical conditions for FTS. Our approach leverages Lyapunov-based techniques and Mittag–Leffler function properties to derive sufficient stability criteria, expressed via linear matrix inequalities (LMIs), ensuring system trajectories remain bounded within specified thresholds over finite intervals. The effectiveness of the proposed framework is showcased through three numerical examples, providing valuable insights for progress in fractional-order control systems.

In this study, we propose a separation principle for Caputo–Hadamard fractional-order fuzzy systems. Practical Mittag-Leffler stability is introduced as a key stability concept, incorporating fractional-order derivatives and fuzzy logic controllers. By constructing appropriate Lyapunov functions and employing linear matrix inequalities (LMIs), we derive conditions ensuring the stability of the closed-loop system. Furthermore, an observer-based control approach is developed to handle system uncertainties and measurement noise. This work broadens the scope to encompass practical stability criteria and generalizes the system framework to the Caputo–Hadamard fractional-order system case. Numerical examples validate the theoretical results, illustrating the effectiveness of the proposed methods. These theoretical results may provide valuable insights and potential applications in real-world engineering and industrial contexts.

This research presents a control strategy for a Doubly Excited Synchronous Generator (DESG) in wind energy systems, focusing on sensorless control and resilience in nonlinear dynamics. It combines fractional-order control with an observer-based speed estimation technique, ensuring convergence under nonlinearities via the Lipschitz condition. A fractional-order proportional–integral (FOPI) controller enhances performance for maximum power point tracking (MPPT) and speed control. Numerical simulations demonstrate the technique's precision, robustness, stabilization, and energy efficiency, advancing sensorless control in DESG-based systems for renewable energy applications.

The observer-based event-triggered $��{�H�}_{�\infty �}�$ control for switched systems is studied. The system researched is affected by external disturbance, nonlinear perturbation and time delay, which helps expand the application range of switched system theory. First, to alleviate the high cost or difficulty of obtaining the system state, we construct an improved state observer, which echoes the structure of the considered system. Then, based on the observed state, we adopt a general event-triggered strategy (ETS) to save resources and give a proof of excluding the Zeno phenomenon. Next, using the mode-dependent average dwell time (MADT) and the Lyapunov–Krasovskii functional, the sufficient criteria for the system with $��{�H�}_{�\infty �}�$ performance are obtained. With the singular value decomposition (SVD) of column-full rank matrix, the observer gains, the controller gains, and the event-triggered parameter matrices are co-designed. Finally, a simulation example is implemented to demonstrate the value of this paper.

This paper addresses finite time stability for a class of Hadamard fractional Itô–Doob stochastic time-delayed systems. A novel stability result is derived based on Gronwall-type inequalities, thereby generalizing the classical integer order case to the fractional domain. In addition, our analysis uniquely integrates stochastic perturbations and time delays, providing a comprehensive framework for systems with both memory and randomness. An illustrative example of a three-dimensional stochastic system with time delays and fractional dynamics demonstrates the effectiveness of the proposed approach.

We study a nonlinear $��\psi �-�$ Hilfer fractional-order delay integro-differential equation ($��\psi �-�$ Hilfer FrODIDE) that incorporates $��N�-�$ multiple variable time delays. Utilizing the $��\psi �-�$ Hilfer fractional derivative ($��\psi �-�$ Hilfer-FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi-Ulam–Hyers–Rassias (semi-U–H–R) and Ulam–Hyers (U–H) stability of the considered $��\psi �-�$ Hilfer FrODIDE through the fixed-point method. Throughout this work, using Banach's fixed-point theorem and the Bielecki norm, we establish three new theorems related to these qualitative concepts. The theorems presented in this work are novel and contribute to the existing literature on the Ulam-type stability of $��\psi �-�$ Hilfer FrODIDEs.

The fractional-order Atangana–Baleanu in Caputo sense fractional derivative (ABC) approach to the smoking illness model, which covers the impacts of externally and internally affected smokers on smoking, is introduced in this work. The model's authenticity has been investigated further in terms of its benefits and drawbacks. Model solution systems constructed using fixed point theory and repeated techniques are present and distinctive. The suggested approach was used to do numerical simulations to show the consequences of partial layout modifications and to back up theoretical conclusions.

This paper investigates the problem of observer-based sliding mode control (SMC) of stochastic uncertain Markov jump systems using dual-driven event-triggered mechanism (ETM). The ETM is implemented not only in the system output to the observer channel but also in the feedback channel, forming a dual ETM, which can effectively reduce communication load. By designing a state observer, the error dynamics is derived, and subsequently, sliding mode dynamics (SMD) are formulated by proposing a specific type of integral sliding surface. Moreover, a SMC law is put forward to guarantee the attainment of the sliding surface by the system state within a finite time and to maintain the state within the domain of the sliding surface. Furthermore, sufficient conditions for the closed-loop system are established to ensure both the stochastic stability and a prescribed $��{�H�}_{�\infty �}�$ performance through linear matrix inequalities. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.

The main subject of this paper is to analyze the $��{�H�}_{�\infty �}�$ performance of observer-based hybrid-triggered mechanism network control systems that are affected by dual cyber attacks. Firstly, facing this problem of unobservable system state, an observer model is introduced, which also establishes a solid theoretical foundation for subsequent controller design. Secondly, during data transmission, the systems are vulnerable to dual cyber attacks: The controller may face the threat of false data injection when it receives information from the observer, while the controller faces the threat of denial-of-service attacks when sending commands to the actuator. Thirdly, Lyapunov functions and linear matrix inequalities are employed to ensure that the resulting closed-loop system is asymptotically mean-square stabilized under the prescribed $��{�H�}_{�\infty �}�$ performance. Finally, a simulation example is given to demonstrate the effectiveness of the method in this paper.