{"title":"Auxiliary model-based maximum likelihood multi-innovation recursive least squares identification for multiple-input multiple-output systems","authors":"Huihui Wang, Qian Zhang, Ximei Liu","doi":"10.1016/j.jfranklin.2024.107352","DOIUrl":"10.1016/j.jfranklin.2024.107352","url":null,"abstract":"<div><div>The aim of this paper is to propose novel identification methods for multiple-input multiple-output systems. Through decomposing a system into subsystems, the system identification model is derived. Based on the obtained sub-model, an auxiliary model-based maximum likelihood recursive least squares algorithm is derived for parameter estimation. For further enhancing the estimation accuracy, the auxiliary model-based maximum likelihood multi-innovation recursive least squares (AM-ML-MIRLS) algorithm is proposed based on the proposed algorithm. Simulation results test the proposed algorithms are all effective, and prove that the proposed AM-ML-MIRLS algorithm has the superior performances in capturing the dynamic properties of the system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107352"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Unknown input observer-based consensus control of uncertain multi-agent systems under intermittent communication","authors":"Miaohong Luo , Qing An , Housheng Su , Yin Chen","doi":"10.1016/j.jfranklin.2024.107351","DOIUrl":"10.1016/j.jfranklin.2024.107351","url":null,"abstract":"<div><div>This paper investigates the leader–follower consensus problem of uncertain multi-agent systems under directed graph, where the uncertainties arise from unknown disturbance inputs and initial states. The primary approach to addressing the consensus problem in this paper unfolds in two main steps. Firstly, an unknown input observer, composed of an unknown input reconstruction and a Luenberger-like state observer, is constructed to asymptotically estimate the state and the unknown disturbance input of each follower. Secondly, building on the proposed unknown input observer, a distributed control protocol under intermittent communication is introduced to enable each follower to track the leader’s trajectory. This control protocol incorporates unknown input reconstruction to mitigate the impact of disturbances. This paper further extends the approach to the case with multiple leaders. Ultimately, through two simulation examples, the validity of the results presented in this paper are verified.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107351"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Maneuvering control of nonlinear systems with practical finite-time asymmetric output constraints","authors":"Jing Yang, Yuqiang Wu","doi":"10.1016/j.jfranklin.2024.107359","DOIUrl":"10.1016/j.jfranklin.2024.107359","url":null,"abstract":"<div><div>This work studies the practical finite-time maneuvering tracking issue based on event-triggered control for a class of nonlinear systems constrained by asymmetric outputs and subject to external disturbances. An output dependent universal barrier function is constructed, which eliminates the constraint conditions of constrained boundaries, meanwhile deals with unconstrained cases. A command filter is proposed to effectively control vibration and remove differential explosions, and a compensatory signal is also employed to decrease the inaccuracy caused by the command filter. A gradient adaptive law is given through filtering to achieve dynamic tasks, specifically the speed index. Furthermore, all signals in a closed-loop system are bounded, completing both the geometric task and the velocity task, and the output does not violate the given constraints. Simulations are used to verify the suggested method’s efficacy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107359"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Relative-velocity-free output-feedback consensus control for multiple Euler–Lagrange systems based on high-order extended state observer","authors":"Xinchen Guo , Chuanming Song , Hongxiang Zhang , Zhenying Liang","doi":"10.1016/j.jfranklin.2024.107356","DOIUrl":"10.1016/j.jfranklin.2024.107356","url":null,"abstract":"<div><div>In this paper, an output-feedback controller is devised with the assistance of two types of observers to deal with the leader-following consensus control problem of multiple Euler–Lagrange (EL) systems, which are subject to model uncertain parameters, external disturbances, and unmeasured velocity. First, a local high-order extended state observer is put forward to estimate both the compound disturbance and unmeasured velocity for each EL system, and the boundedness of the estimation errors can be guaranteed under standard assumptions. Then, a novel distributed finite/fixed-time observer is proposed to observe the leader’s position and velocity without using the relative velocity information. Based on these two kinds of observers, a distributed output-feedback control algorithm, which does not depend on any global information, is constructed using the back-stepping method, while some sufficient conditions are derived to guarantee that tracking errors are semi-globally uniformly ultimately bounded. Finally, the effectiveness of the presented control scheme is further verified by a numerical simulation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107356"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic H2/H∞ off-policy reinforcement learning tracking control for linear discrete-time systems with multiplicative noises","authors":"Yubo Yin , Shixian Luo , Feiqi Deng","doi":"10.1016/j.jfranklin.2024.107349","DOIUrl":"10.1016/j.jfranklin.2024.107349","url":null,"abstract":"<div><div>This paper focuses on an infinite horizon mixed <span><math><mrow><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></mrow></math></span> model-free optimal tracking control problem for linear discrete-time stochastic systems with multiplicative noises. A model-based algorithm for mixed <span><math><mrow><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></mrow></math></span> control of the systems is first proposed to derive the optimal tracking control gain. Then, an off-policy reinforcement learning (RL) algorithm is proposed to solve the stochastic algebraic Riccati equation (SARE) online by collecting a set of sample-path measurement data along the system trajectory. It is further proven that the off-policy RL algorithm is equivalent to the model-based algorithm, and the off-policy RL algorithm not only dose not need to specify external disturbances but also ensures that the probing noise does not bias the algorithm’s convergence. The effectiveness of the proposed control scheme is verified by using a cart-inverted pendulum system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107349"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive predefined-time secure consensus tracking control for nonlinear multiagent systems against unknown false data injection attacks","authors":"Luyao Wen, Ben Niu, Yulong Ji, Baoyi Zhang","doi":"10.1016/j.jfranklin.2024.107341","DOIUrl":"10.1016/j.jfranklin.2024.107341","url":null,"abstract":"<div><div>This paper primarily investigates the adaptive predefined-time secure consensus tracking control problem for a class of nonlinear multiagent systems (MASs) against unknown false data injection (FDI) attacks and Bouc–Wen hysteresis. Firstly, by using the Nussbaum functions in the controller design, the conservative limitation that the attack weight’s sign must be consistently positive can not only be relaxed, but also the unknown compound gains problem caused by FDI attacks and input hysteresis can be resolved. Furthermore, the adaptive laws are designed in the form of a new nonlinear differential equation such that the predefined-time stability can be realized. In addition, a feasible adaptive predefined-time secure consensus tracking control strategy is developed based on the backstepping framework and the fuzzy approximation technique. It is demonstrated that all the closed-loop signals are semiglobally uniformly predefined-time-bounded (SGUPTB) and the outputs of all followers eventually synchronously track the output of the leader within a predefined time. Conclusively, a simulation example for the MASs composed of multiple single-link manipulators is provided to testify the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107341"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Haihan Wang , Guangdeng Zong , Dong Yang , Ben Niu , Yang Yi
{"title":"Neural network observer-based predefined time tracking control for non-strict feedback nonlinear system: A fault-tolerant performance function approach","authors":"Haihan Wang , Guangdeng Zong , Dong Yang , Ben Niu , Yang Yi","doi":"10.1016/j.jfranklin.2024.107346","DOIUrl":"10.1016/j.jfranklin.2024.107346","url":null,"abstract":"<div><div>Predefined time performance control has been widely used in practical applications due to its ability in improving the system’s transient performance. However, imprecise feedback information from faulty sensors will make this control strategy ineffective and seriously compromise the system performance. This paper concentrates on addressing predefined time tracking control for non-strict feedback nonlinear systems while considering sensor faults. First, a fault-tolerant performance function combined with the settling time regulator is constructed to handle the output constraints in the presence of system faults. Second, in spite of the output feedback information being imprecise, the designed adaptive neural network observer can still obtain the real state information. Third, the designed control scheme can efficiently counteract the negative influences of unknown nonlinearities and faulty sensors, which makes the system achieve asymptotic tracking with predefined time performance. Finally, the acquired control algorithm’s applicability is demonstrated through numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107346"},"PeriodicalIF":3.7,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ying Shen , Yinzi Shui , Zhongyao Hu , Shuwang Du , Bo Chen
{"title":"Event-triggered nonlinear state estimation with quantized innovations","authors":"Ying Shen , Yinzi Shui , Zhongyao Hu , Shuwang Du , Bo Chen","doi":"10.1016/j.jfranklin.2024.107339","DOIUrl":"10.1016/j.jfranklin.2024.107339","url":null,"abstract":"<div><div>This paper proposes an event-triggered (ET) estimator with quantization mechanism to relieve the bandwidth and energy limitations of wireless sensors, where the ET strategy reduces the overall communication rate of the system, and the quantization mechanism mitigates the instantaneous bit rate constraint. Then, Gaussian approximation is applied to derive the analytical form of the minimum mean squared error (MMSE) estimator under the event-triggered strategy and quantization mechanism. Furthermore, the relationship between the event-triggered parameter and the communication rate is explicitly established. Finally, theoretical results are validated through some simulations on a target tracking system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107339"},"PeriodicalIF":3.7,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Non-fragile event-triggered control for switched positive linear systems using state-dependent switching method","authors":"Zhiye Bai, Baowei Wu, Yue-E Wang, Lili Liu","doi":"10.1016/j.jfranklin.2024.107340","DOIUrl":"10.1016/j.jfranklin.2024.107340","url":null,"abstract":"<div><div>This article is concerned with the issues of stability and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-gain characteristic for switched positive linear systems utilizing bumpless transfer (BT) technique and event-triggered (ET) strategy. Under the state-driven switching policy, a regulatory approach that couples BT and ET is introduced to attenuate the hybrid bumps stemming from switching and triggering moments. Compared with traditional state-driven switching, the proposed hysteresis switching can delay the occurrence of switching. Based on multiple copositive Lyapunov functions, a state feedback controller with an ET mechanism is constructed for positive systems, which reduces the update frequency of the actuator, and this control strategy is extended to the case of actuator faults. It is confirmed that the proposed control scheme can assure the positivity, stability, and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-gain performance of the system. Additionally, the Zeno phenomenon is addressed via establishing a positive lower bound for the ET interval. Ultimately, simulation examples containing a turbofan engine model are provided to demonstrate the effectiveness of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107340"},"PeriodicalIF":3.7,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Improved real-time H∞ control for aero-engines based on the equilibrium manifold expansion model","authors":"Fang-Zhou Liu, Yan Shi, Chong-Yi Sun, Xi-Ming Sun","doi":"10.1016/j.jfranklin.2024.107342","DOIUrl":"10.1016/j.jfranklin.2024.107342","url":null,"abstract":"<div><div>This paper investigates the transient performance and disturbance rejection control problem for aero-engines based on the equilibrium manifold expansion (EME) model. Considering the operating characteristics of the aero-engine vary greatly during different flight states, it is difficult to ensure the performance of the aero-engine in different states using a single controller designed offline. To solve this problem, this paper proposes an improved real-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> controller. Through driving the controller to match the changes in dynamic characteristics of the system, the stability and disturbance rejection performance of the system are guaranteed over a wide range effectively. In addition, a dynamic adjustment mechanism is designed for the disturbance rejection parameter in the proposed real-time <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> controller, which further improves the transient performance of the system. The sufficient conditions to ensure the stability of the system under the designed method are also given. Finally, the effectiveness and superiority of the proposed method are verified through an aero-engine numerical simulation program and a hardware-in-the-loop (HIL) experiment.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107342"},"PeriodicalIF":3.7,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}