Stability analysis of switched Markov jump linear systems with hybrid switchingsYu, Qiang; Li, Junzhou
2025 Asian Journal of Control
doi: 10.1002/asjc.3584
This paper investigates the exponentially almost sure (EAS) stability of switched Markov jump linear systems (SMJLSs), which is subjected to deterministic switching and stochastic Markov jump switching. Using the ergodic law of large numbers, stability criteria for the SMJLS with all EAS stable or partially unstable sub‐Markov jump linear systems are established, where the deterministic switching is governed by a
Φ$$ \Phi $$‐dependent average dwell time approach. Some stability conditions under the average dwell time and mode‐dependent average dwell time (MDADT) deterministic switching are established as corollaries. Especially, the results of MDADT for SMJLS are given for the first time. Finally, three numerical examples are provided to illustrate the efficiency of the proposed results.
Adaptive fuzzy fault‐tolerant control via integral terminal sliding mode of robotic systems with prescribed performanceZhang, Jie; Jiang, Wanyue; Sam Ge, Shuzhi
2025 Asian Journal of Control
doi: 10.1002/asjc.3590
This paper addresses the robust fault‐tolerant tracking control problem of robotic systems with actuator faults and model uncertainties under prescribed performance constraint. Firstly, an adaptive technique and fuzzy logic system are used to approximate the system model uncertainties and possible actuator faults. Secondly, a new fast integral terminal sliding mode backstepping control method is proposed, which makes the high robustness for the robotic systems when the actuator faults occur under the premise of ensuring the prescribed performance. Furthermore, a nonlinear disturbance observer is developed to estimate the lumped disturbance composed of external disturbance and approximation error, which enhances anti‐disturbance performance, reduces sliding mode chattering, and ensures high robustness of the entire robotic systems. Ultimately, the global asymptotic stability of the robotic systems is achieved based on the Lyapunov criterion. The simulation results confirm the effectiveness of the proposed control scheme.
Optimal tracking performance of communication constrained systems with fading channel and quantization constraintJiang, Mengxi; Zhan, Xisheng; Wu, Jie; Yan, Huaicheng
2025 Asian Journal of Control
doi: 10.1002/asjc.3588
This paper studies the optimal tracking performance (OTP) of multiple‐input multiple‐output (MIMO) discrete communication constrained systems (CCSs) with fading channel and quantization constraints. An equivalent average channel is used to replace the fading channel with colored noise, and the gain of the output ports of the two channels is consistent in the first and second moments. Combined with spectral decomposition, co‐prime decomposition, partial fractional decomposition and other methods, the quantitative explicit expression of OTP is eventually derived. The result shows that the OTP is related to nonminimum phase (NMP) zeros and unstable poles and their directions of controlled plant, and is also affected by quantization error and colored noise. At last, a numerical example is utilized to verify the theory.
Distributed control for automated vehicle groups using control barrier and control Lyapunov functionsHayashi, Yuzuki; Cao, Wenjing; Mukai, Masakazu
2025 Asian Journal of Control
doi: 10.1002/asjc.3558
With the increasing demands for courier services, economic losses and environmental problems resulting from driver shortages, traffic accidents, and congestion continue to plague the logistics industry. Consequently, many studies of platooning exist to solve the above problems. This paper presents a procedure for the composition of automated vehicle groups required for platooning in real‐world vehicle control. In particular, adaptive cruise control is considered, and each automated vehicle is equipped with velocity, intervehicular distance, relative velocity, and slope monitoring sensors. Distributed control is performed using the controllers installed on each vehicle. The adopted control method uses quadratic programming with a control barrier function and a control Lyapunov function formulated as constraints. On solving the optimization problem, we discover that the driving forces can be optimized, and a group of vehicles maintaining a constant convergence intervehicular distance can be configured using mathematical equations and simulations.
Matrix expression of Myerson ValueWang, Fei; Feng, Jun‐e; Wang, Biao; Meng, Qingchun
2025 Asian Journal of Control
doi: 10.1002/asjc.3582
This paper explores the matrix expression of the Myerson value, a variant of the Shapley value within a class of cooperative games subject to graph constraints. A systematic and comprehensive matrix framework is proposed, encompassing the characteristic function of cooperative games, the worths of coalitions in graph‐restricted games, and the axioms governing the Myerson value. Utilizing this framework, the paper offers a rigorous reproof validating the satisfaction of the two axioms by the Myerson value and establishes its uniqueness within the context of matrix representation. Additionally, a novel formula is presented for computing the Shapley value through matrix construction, simplifying the computational process compared to the previous matrix formulations. Finally, the provided formula is applied to calculate the Myerson value of a supply chain.
Asynchronous passive control under event‐triggered scheme for discrete‐time Markov jump systems with complex probabilitiesLi, Hongchao; Liu, Yang; Liu, Jiao; Xu, Wenli
2025 Asian Journal of Control
doi: 10.1002/asjc.3577
This paper deals with the asynchronous passive control based on event‐triggered scheme for Markov jump systems with complex probabilities. A hidden Markov model with uncertain and unknown conditional probabilities is presented to describe the asynchronization. The complex probabilities consider that both transition probability matrix and conditional probability matrix in hidden Markov model contain uncertain and unknown elements simultaneously, with the former governing the jump of system mode and the latter representing the asynchronous relation between the system mode and the controller mode. Asynchronous control strategies based on hidden Markov model with complex probabilities are proposed under event‐triggered scheme. Furthermore, sufficient conditions are established to guarantee the stochastic passivity, under which the mode‐dependent controller gains and weighting matrices in the event‐triggered scheme are co‐designed. Theoretical results are finally verified via an example.
Disturbance compensation‐based feedback linearization control for air rudder electromechanical servo systemsXiong, Si; Cheng, Xuming; Ouyang, Quan; Lv, Chen; Xu, Wenbo; Wang, Zhisheng
2025 Asian Journal of Control
doi: 10.1002/asjc.3568
The air rudder electromechanical servo system plays a crucial role in ensuring the safe and efficient operation of the aircraft. However, the immeasurable command output and the mismatched channel between input and unknown disturbance bring great challenges to its controller design. To tackle this issue, this study proposes a disturbance compensation‐based feedback linearization servo control strategy. This approach uses a radial basis function neural network‐based nonlinear observer to estimate the immeasurable command output and disturbance. Subsequently, a feedback linearization control algorithm is employed using these estimations to achieve disturbance compensation for the air rudder electromechanical system. Following the Lyapunov stability theorem, it is proved that the stability of the electromechanical servo system under the designed control algorithm can be guaranteed. At last, extensive simulation results are provided to demonstrate the effectiveness of the proposed control approach.
Asymptotic stability of fractional order switching nonlinear system based on short memory principleMu, Qianqian; Long, Fei; Wang, Qixiang
2025 Asian Journal of Control
doi: 10.1002/asjc.3564
Fractional order derivatives have memory effects and are widely used in real world applications. However, they require large storage space and lead to low computational efficiency. Therefore, fractional order systems based on the short memory principle have gradually attracted the scholars' attention. In this paper, the asymptotic stability of Caputo fractional order switching nonlinear systems is investigated based on the Markov process and short memory principle. Firstly, a model of Caputo fractional order Markovian switching nonlinear systems (CFMNSs) based on the short memory principle is constructed so that the lower bound initial time and the corresponding initial state values are updated synchronously with switching. Secondly, the stability of the system is investigated based on the probabilistic analysis method and stochastic multi‐Lyapunov functions and the sufficient conditions for the asymptotic stability of the system are given. Using a similar method, we also study the asymptotic stability of CFMNs with variable fractional order. Finally, the simulation results show that the proposed stability scheme is effective and reasonable.
Dynamic connectivity maintenance problems in networks of multi‐agent systems via nearest neighbor‐based methodsZhu, Hua‐Yu; Mao, Weijie
2025 Asian Journal of Control
doi: 10.1002/asjc.3585
Connectivity maintenance is crucial for the real‐world deployment of multi‐agent systems, as it ultimately allows the agents to communicate, coordinate, and perform tasks in a collaborative way. In this paper, a new problem called the dynamic connectivity maintenance problem is considered, which aims to model the scenario where part agents have already broken away from the original communication range but still could be communicated by the other agents. To this end, nearest neighbor‐based methods are proposed in this paper to ensure that the graphs of multi‐agent systems have a spanning tree at all times. Considering that it takes time during the dynamic connectivity maintenance process, this paper also considers the impact of non‐uniform time‐varying time delays on communication and obtains a solution to the gain under the maximum time delay through the Lyapunov method when achieving a consensus. A new approach based on a chain‐type transformation to investigate the consensus problem is proposed. Some sufficient conditions are established. Finally, the developed approaches are validated through a simulation of unmanned surface vessels and a task of autonomous driving truck fleet.