{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T16:26:17Z","timestamp":1778948777353,"version":"3.51.4"},"reference-count":21,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,9,25]],"date-time":"2022-09-25T00:00:00Z","timestamp":1664064000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52105019"],"award-info":[{"award-number":["52105019"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61703376"],"award-info":[{"award-number":["61703376"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2022NB0AB03"],"award-info":[{"award-number":["2022NB0AB03"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["B17040"],"award-info":[{"award-number":["B17040"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"pen Research Project of Zhejiang Lab","award":["52105019"],"award-info":[{"award-number":["52105019"]}]},{"name":"pen Research Project of Zhejiang Lab","award":["61703376"],"award-info":[{"award-number":["61703376"]}]},{"name":"pen Research Project of Zhejiang Lab","award":["2022NB0AB03"],"award-info":[{"award-number":["2022NB0AB03"]}]},{"name":"pen Research Project of Zhejiang Lab","award":["B17040"],"award-info":[{"award-number":["B17040"]}]},{"name":"111 project","award":["52105019"],"award-info":[{"award-number":["52105019"]}]},{"name":"111 project","award":["61703376"],"award-info":[{"award-number":["61703376"]}]},{"name":"111 project","award":["2022NB0AB03"],"award-info":[{"award-number":["2022NB0AB03"]}]},{"name":"111 project","award":["B17040"],"award-info":[{"award-number":["B17040"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper concentrates on the study of logic-based switching adaptive control. Two different cases will be considered. In the first case, the finite time stabilization problem for a class of nonlinear system is studied. Based on the recently developed adding a barrier power integrator technique, a new logic-based switching adaptive control method is proposed. In contrast with the existing results, finite time stability can be achieved when the considered systems contain both fully unknown nonlinearties and unknown control direction. Moreover, the proposed controller has a very simple structure and no approximation methods, e.g., neural networks\/fuzzy logic, are needed. In the second case, the sampled-data control for a class of nonlinear system is investigated. New sampled-data logic-based switching mechanism is proposed. Compared with previous works, the considered nonlinear system has an uncertain linear growth rate. The control parameters and the sampling time can be adjusted adaptively to render the exponential stability of the closed loop system. Applications in robot manipulators are conducted to verify the proposed results.<\/jats:p>","DOI":"10.3390\/e24101360","type":"journal-article","created":{"date-parts":[[2022,9,25]],"date-time":"2022-09-25T23:13:27Z","timestamp":1664147607000},"page":"1360","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Switching Adaptive Control with Applications on Robot Manipulators"],"prefix":"10.3390","volume":"24","author":[{"given":"Shihao","family":"Wang","sequence":"first","affiliation":[{"name":"School of Automation, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shiqi","family":"Zheng","sequence":"additional","affiliation":[{"name":"School of Automation, China University of Geosciences, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yushu","family":"Deng","sequence":"additional","affiliation":[{"name":"Shaoyang Institute of Advanced Manufacturing Technology, Shaoyang 422000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhouxiang","family":"Jiang","sequence":"additional","affiliation":[{"name":"Institute of Electromechanical Engineering, Beijing Information Science & Technology University, 12 Xiaoying East Road, Qinghe, Haidian District, Beijing 100192, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bao","family":"Song","sequence":"additional","affiliation":[{"name":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaoqi","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3261","DOI":"10.1109\/TAC.2018.2798704","article-title":"Adaptive Certainty-Equivalence Control with Regulation-Triggered Finite-Time Least-Squares Identification","volume":"63","author":"Karafyllis","year":"2018","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2737","DOI":"10.1016\/j.automatica.2014.10.015","article-title":"Multivariable adaptive control: A survery","volume":"50","author":"Tao","year":"2014","journal-title":"Automatica"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/j.isatra.2016.06.008","article-title":"Adaptive two-degree-of-freedom PI for speed control of permanent magnet synchronous motor based on fractional order GPC","volume":"64","author":"Qiao","year":"2016","journal-title":"ISA Trans."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2085","DOI":"10.1109\/TCST.2018.2849072","article-title":"Adaptive Neural Boundary Control Design for Nonlinear Flexible Distributed Parameter Systems","volume":"27","author":"Wang","year":"2018","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Smyshlyaev, A., and Krstic, M. (2010). Adaptive Control of Parabolic PDEs, Princeton University Press.","DOI":"10.1515\/9781400835362"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.automatica.2017.12.020","article-title":"Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems","volume":"89","author":"Li","year":"2018","journal-title":"Automatica"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.automatica.2018.03.033","article-title":"Finite-time command filtered backstepping control for a class of nonlinear systems","volume":"92","author":"Yu","year":"2018","journal-title":"Automatica"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2693","DOI":"10.1109\/TCYB.2018.2833864","article-title":"Fuzzy Finite Time Control for Switched Systems via Adding a Barrier Power Integrator","volume":"49","author":"Zheng","year":"2018","journal-title":"IEEE Trans. Cybern."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2738","DOI":"10.1109\/TAC.2018.2791346","article-title":"Global Exponential\/Finite-Time Stability of Nonlinear Adaptive Switching Systems with Applications in Controlling Systems with Unknown Control Direction","volume":"63","author":"Chen","year":"2018","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/S0167-6911(02)00342-0","article-title":"Overcoming the limitations of adaptive control by means of logic-based switching","volume":"49","author":"Hespanha","year":"2003","journal-title":"Syst. Control Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1075","DOI":"10.1109\/TAC.2017.2731946","article-title":"How to Systematically Distribute Candidate Models and Robust Controllers in Multiple-Model Adaptive Control: A Coverage Control Approach","volume":"63","author":"Kersting","year":"2017","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1016\/j.automatica.2016.03.005","article-title":"Global finite-time adaptive stabilization for nonlinear systems with multiple unknown control directions","volume":"69","author":"Wu","year":"2016","journal-title":"Automatica"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2934","DOI":"10.1109\/TAC.2012.2193707","article-title":"Global output feedback stabilization of a class of nonlinear systems via linear sampled-data control","volume":"57","author":"Qian","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1016\/j.automatica.2016.06.023","article-title":"Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers","volume":"73","author":"Huang","year":"2016","journal-title":"Automatica"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Li, L., and Wang, D. (2022). On Finite\/Fixed-Time Stability Theorems of Discontinuous Differential Equations. Mathematics, 10.","DOI":"10.3390\/math10132221"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Yue, Y., Geng, Y., and Wang, W. (2022). Continuous Nonsingular Fast Terminal Sliding Mode Control for Speed Tracking of PMSM Based on Finite Time Disturbance Observer. Processes, 10.","DOI":"10.3390\/pr10071407"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"4873","DOI":"10.1109\/TCYB.2020.2998837","article-title":"Fuzzy Approximation-Based Finite-Time Control for a Robot with Actuator Saturation under Time-Varying Constraints of Work Space","volume":"51","author":"Kong","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"5184","DOI":"10.1109\/TCYB.2020.3028171","article-title":"Consensus in High-Power Multiagent Systems with Mixed Unknown Control Directions via Hybrid Nussbaum-Based Control","volume":"52","author":"Lv","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1109\/TFUZZ.2020.3031694","article-title":"Adaptive Fuzzy Control for Fractional-Order Interconnected Systems with Unknown Control Directions","volume":"30","author":"Liang","year":"2020","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Zhang, J., and Dai, X. (2022). Adaptive Fuzzy Control for Flexible Robotic Manipulator with a Fixed Sampled Period. Electronics, 11.","DOI":"10.3390\/electronics11142270"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"2135","DOI":"10.1109\/TAC.2018.2864259","article-title":"Semi-global asymptotic stabilization of lower triangular systems by digital output feedback","volume":"64","author":"Lin","year":"2018","journal-title":"IEEE Trans. Autom. 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