Reduced‐order sliding function design for a class of nonlinear systems
In this paper, the design of first order sliding mode control (SMC) and twisting control based on the reduced order sliding function is proposed for the robust stabilization of an class of uncertain nonlinear single‐input system. This method greatly simplifies the control design as the sliding funct...
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| Published in: | Asian journal of control Vol. 22; no. 4; pp. 1437 - 1446 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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| Abstract | In this paper, the design of first order sliding mode control (SMC) and twisting control based on the reduced order sliding function is proposed for the robust stabilization of an class of uncertain nonlinear single‐input system. This method greatly simplifies the control design as the sliding function is linear, which is based on reduced order state vector. The nonlinear system is represented as a cascade interconnection of two subsystems driving and driven subsystems. Sliding surface and SMC are designed for only the driving subsystem that guarantees the asymptotic stability of the entire system. To show the effectiveness of the proposed control schemes, the simulation results of translational oscillator with rotational actuator are illustrated. |
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| AbstractList | In this paper, the design of first order sliding mode control (SMC) and twisting control based on the reduced order sliding function is proposed for the robust stabilization of an class of uncertain nonlinear single‐input system. This method greatly simplifies the control design as the sliding function is linear, which is based on reduced order state vector. The nonlinear system is represented as a cascade interconnection of two subsystems driving and driven subsystems. Sliding surface and SMC are designed for only the driving subsystem that guarantees the asymptotic stability of the entire system. To show the effectiveness of the proposed control schemes, the simulation results of translational oscillator with rotational actuator are illustrated. |
| Author | Bandyopadhyay, Bijnan Patil, Machhindranath Behera, Abhisek K. Khimani, Deepti |
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| Cites_doi | 10.1109/5.4400 10.1177/095965180121500412 10.1016/j.automatica.2017.09.015 10.1109/87.317984 10.1109/9.28018 10.1049/iet-cta.2016.1219 10.1016/0020-7462(92)90015-Y 10.1080/00207179308923053 10.3182/20131218-3-IN-2045.00022 10.1007/978-0-8176-4893-0 10.1109/ICIT.2006.372588 10.1109/9.661074 10.1201/9781420065619 10.1177/0142331213495438 10.1002/(SICI)1099-1239(19980415/30)8:4/5<307::AID-RNC354>3.0.CO;2-7 10.1201/9781498701822 10.1109/41.184817 10.1109/TAC.1977.1101446 10.1016/S0005-1098(97)00209-4 10.1177/0954410017706992 10.1007/978-1-4471-0967-9 10.1109/TIE.2017.2652341 10.1137/S0363012903425593 |
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| Copyright | 2019 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd 2020 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd |
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| SubjectTerms | Actuators Nonlinear systems reduced order sliding function Robust stabilization Sliding mode control State vectors Subsystems translational oscillator with rotational actuator Twisting twisting control uncertain nonlinear system |
| Title | Reduced‐order sliding function design for a class of nonlinear systems |
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