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| Global practical stabilization of the double integrator system with an imperfect sensor and subject to a bounded disturbance |
| ZhiyuanZhu1,YuanlongLi1,ZongliLin2 |
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| (1 Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing of Ministry of Education, Shanghai 200240, China;2 Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, P.O. Box 400743, Charlottesville, VA 22904-4743, USA) |
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| 摘要: |
| This paper is concerned with global practical stabilization of the double integrator system with an imperfect sensor and
subject to an additive bounded output disturbance. The imperfect sensor nonlinearity possesses the nonlinear characteristics
of saturation and dead zone. Because of the presence of output dead zone and the additive disturbance, the states cannot be
expected to driven into an arbitrarily small neighborhood of the origin. To solve the global practical stabilization problem, we
proposes a low gain-based linear dynamic output feedback law, under which the first state enters and remains in a bounded
set whose size is depended on the bound of disturbance and the range of dead zone and the second state enters and remains in
a pre-specified arbitrarily small set, both in finite time. Simulation results illustrate the effectiveness of our proposed control
method. |
| 关键词: Output saturation · Disturbance rejection · Output dead zone · Low gain feedback · Linear output feedback · Practical stabilization |
| DOI：https://doi.org/10.1007/s11768-024-00218-6 |
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| 基金项目:This work of Zhiyuan Zhu and Yuanlong Li was supported by the National Natural Science Foundation of China (Nos. 62022055, 62373249). |
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| Global practical stabilization of the double integrator system with an imperfect sensor and subject to a bounded disturbance |
| Zhiyuan Zhu1,Yuanlong Li1,Zongli Lin2 |
| (1 Department of Automation, Shanghai Jiao Tong University, and Key Laboratory of System Control and Information Processing of Ministry of Education, Shanghai 200240, China;2 Charles L. Brown Department of Electrical and Computer Engineering, University of Virginia, P.O. Box 400743, Charlottesville, VA 22904-4743, USA) |
| Abstract: |
| This paper is concerned with global practical stabilization of the double integrator system with an imperfect sensor and
subject to an additive bounded output disturbance. The imperfect sensor nonlinearity possesses the nonlinear characteristics
of saturation and dead zone. Because of the presence of output dead zone and the additive disturbance, the states cannot be
expected to driven into an arbitrarily small neighborhood of the origin. To solve the global practical stabilization problem, we
proposes a low gain-based linear dynamic output feedback law, under which the first state enters and remains in a bounded
set whose size is depended on the bound of disturbance and the range of dead zone and the second state enters and remains in
a pre-specified arbitrarily small set, both in finite time. Simulation results illustrate the effectiveness of our proposed control
method. |
| Key words: Output saturation · Disturbance rejection · Output dead zone · Low gain feedback · Linear output feedback · Practical stabilization |
