{"title":"Dynamic Event-Triggered Fixed-Time Neural Adaptive Containment Control for Nonlinear Multiagent Systems With Input Saturation","authors":"Zhucheng Liu, Feisheng Yang","doi":"10.1002/rnc.8047","DOIUrl":"https://doi.org/10.1002/rnc.8047","url":null,"abstract":"<div>\u0000 \u0000 <p>This study concerns the topic of event-based practical fixed-time containment control for uncertain nonstrict feedback nonlinear multiagent systems with input saturation under the directed graph. The algebraic ring problem in recursive design process can be effectively resolved using Gaussian function's property. An auxiliary signal has been introduced that is practical fixed-time stable and capable of overcoming symmetrical or asymmetrical input saturation. Then, an event-triggered neural adaptive fixed-time cooperative tracking control scheme is developed via dynamic surface control and dynamic event-triggered mechanism. The raised fixed-time control strategy can not only remove the singularity issue but also circumvent the complex explosion problem of backstepping technique. Moreover, all variables in the closed-loop system are proved to be fixed-time bounded by integrating the designed auxiliary signal into the entire Lyapunov function. Finally, simulation results validate the effectiveness of the presented control method.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 14","pages":"6190-6202"},"PeriodicalIF":3.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145102208","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":"Robust Fault-Tolerant Tracking Control for Nonlinear Systems Using a Takagi-Sugeno Fuzzy Model Based on a State and Fault Fuzzy Observer","authors":"Bao Trung Dong, Thi Van Anh Nguyen","doi":"10.1002/rnc.8049","DOIUrl":"https://doi.org/10.1002/rnc.8049","url":null,"abstract":"<div>\u0000 \u0000 <p>This article presents a robust fault-tolerant tracking control (RFTTC) scheme based on the <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> criterion to mitigate the effects of disturbances. The scheme integrates a state and fault fuzzy observer to enhance system performance by estimating faults while simultaneously reducing the number of states that need to be measured. The proposed controller is capable of controlling a nonlinear system to track a reference model when faults occur by estimating the faults and integrating this information with the fault-tolerant tracking control (FTTC) mechanism and the reference model control signal. The Takagi-Sugeno (T-S) fuzzy model is used to describe general nonlinearity within a certain sector, decomposing it into local linear subsystems. The fault-tolerant tracking control/fault estimation (FTTC/FE) scheme enhances performance using <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_{infty } $$</annotation>\u0000 </semantics></math> criteria, which is expressed not only in the FTTC mechanism but also indirectly through the controller of the reference model to achieve RFTTC, especially when the system faces uncertainties or external disturbances. By using an RFTTC mechanism based on a state and fault fuzzy observer, the information related to unknown states and faults is derived. Furthermore, by exploiting the separation principle, the design procedure can be considerably simplified. The controller design conditions are formulated using linear matrix inequalities (LMI) based on the Lyapunov theorem. Finally, to demonstrate the efficiency of the proposed method, numerical simulations for a Rotary Inverted Pendulum with actuator faults and external disturbances are implemented.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 15","pages":"6207-6229"},"PeriodicalIF":3.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145102206","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":"Finite-Time Incremental Passivity of Switched Nonlinear Systems and Its Application","authors":"Hongbo Pang, Chenyu Xu","doi":"10.1002/rnc.8053","DOIUrl":"https://doi.org/10.1002/rnc.8053","url":null,"abstract":"<div>\u0000 \u0000 <p>This article focuses on the finite-time incremental passivity of switched nonlinear systems and its application to the output tracking control. First, a new definition of finite-time incremental passivity definition is given for switched nonlinear systems. Compared with the existing definition, the growth of energy may happen at switching times and during active time interval, while at least an active subsystem is finite-time incrementally passive on its active time interval. Second, a sufficient condition of finite-time incremental passivity is provided. Based on this condition, a design method of a switching law dependent on state information is proposed. It is generalization of ‘min’İ switching law. Third, it is verified that the output can track the reference signal in finite time by output feedback, even if only an active subsystem is finite-time incrementally passive. Finally, the validity of the developed theoretical results is verified by two examples.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 15","pages":"6230-6241"},"PeriodicalIF":3.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145102205","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":"Fixed-Time Fault-Tolerant Control of a High-Order Fully Actuated System Under Actuator Faults and Uncertain Parameters","authors":"Cheng He, Ruiyun Qi, Bin Jiang","doi":"10.1002/rnc.8046","DOIUrl":"https://doi.org/10.1002/rnc.8046","url":null,"abstract":"<div>\u0000 \u0000 <p>This study proposes a fixed-time fault-tolerant control strategy for high-order fully actuated (HOFA) systems with actuator faults and parameter uncertainties. An online parameter adaptive law is designed to address system parameter uncertainties, whereas Nussbaum functions and projection operators are used to adaptively handle uncertainties from controller coefficient variations and actuator faults, respectively. A fixed-time fault-tolerant controller is developed to ensure stable operation under bias faults and partial-loss-of-effectiveness faults. By integrating the fault-tolerant controller with the adaptive laws, the HOFA system achieves stable control despite faults and uncertainties. A numerical simulation and a hypersonic vehicle validate the robustness and reliability of the proposed strategy.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 14","pages":"6175-6189"},"PeriodicalIF":3.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101952","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":"Hybrid \u0000 \u0000 \u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 2\u0000 \u0000 \u0000 /\u0000 \u0000 \u0000 H\u0000 \u0000 \u0000 ∞\u0000 \u0000 \u0000 \u0000 $$ {H}_2/{H}_{infty } $$\u0000 Interval Observer Design for a Class of MIMO Nonlinear Systems With Interference Noise","authors":"Zeren Yi, Ronghu Wei, Fannie Kong, Wei Xie","doi":"10.1002/rnc.8055","DOIUrl":"https://doi.org/10.1002/rnc.8055","url":null,"abstract":"<div>\u0000 \u0000 <p>An interval observer based on hybrid <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 <mo>/</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_2/{H}_{infty } $$</annotation>\u0000 </semantics></math> performance index is proposed for a class of multi-input multi-output (MIMO) nonlinear systems subject to external interference noise in this article. In this article, considering the effect of external interference noise on the nonlinear systems, the interval observer is constructed to obtain the system interval state for the MIMO nonlinear systems. Then, the interval observer gain is calculated by combining the hybrid <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 <mo>/</mo>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_2/{H}_{infty } $$</annotation>\u0000 </semantics></math> performance index. The introduced method makes the interval width narrower and reduces the effect of external interference noise. The optimization problem is transformed into linear matrix inequalities. Eventually, the proposed method's theoretical viability has been demonstrated through Lyapunov stability theory. The efficacy of the proposed approach is substantiated through the robotic arm system. The approach making the interval observer obtained interval estimates with smaller interval widths.</p>\u0000 </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 15","pages":"6242-6250"},"PeriodicalIF":3.2,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145102209","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}