Semi-global Interval Observer-Based Robust Control of Linear Time-Invariant Systems Subject to Input Saturation
This article investigates the issue of robust control based on interval observers for continuous-time linear time-invariant (LTI) systems with input saturation and disturbances. Firstly, an interval observer is derived by resorting to the system’s output information and the interval bounds on the di...
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| Published in | Circuits, systems, and signal processing Vol. 43; no. 8; pp. 4928 - 4951 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Springer US
01.08.2024
Springer Nature B.V |
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| Abstract | This article investigates the issue of robust control based on interval observers for continuous-time linear time-invariant (LTI) systems with input saturation and disturbances. Firstly, an interval observer is derived by resorting to the system’s output information and the interval bounds on the disturbances. Then, a parametric Lyapunov equation (PLE)-based low-gain feedback control method is introduced to guarantee semi-global boundedness. In contrast to the current parametric algebraic Riccati equation (PARE)-based method that requires an iterative approach to solve the PARE online, all relevant parameters in the adopted low-gain design approach are offline determined a priori. Moreover, considering the characteristics of the interval observer, a new stability analysis architecture is given by using a Lyapunov function with a mixture of quadratic and copositive types. Finally, two numerical examples are employed as a means of substantiating the theoretical results. |
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| AbstractList | This article investigates the issue of robust control based on interval observers for continuous-time linear time-invariant (LTI) systems with input saturation and disturbances. Firstly, an interval observer is derived by resorting to the system’s output information and the interval bounds on the disturbances. Then, a parametric Lyapunov equation (PLE)-based low-gain feedback control method is introduced to guarantee semi-global boundedness. In contrast to the current parametric algebraic Riccati equation (PARE)-based method that requires an iterative approach to solve the PARE online, all relevant parameters in the adopted low-gain design approach are offline determined a priori. Moreover, considering the characteristics of the interval observer, a new stability analysis architecture is given by using a Lyapunov function with a mixture of quadratic and copositive types. Finally, two numerical examples are employed as a means of substantiating the theoretical results. |
| Author | Shen, Jun Zhang, Zhipeng Zhang, Jiyuan Qiu, Hongling |
| Author_xml | – sequence: 1 givenname: Zhipeng surname: Zhang fullname: Zhang, Zhipeng organization: College of Automation Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 2 givenname: Jun surname: Shen fullname: Shen, Jun organization: College of Automation Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 3 givenname: Jiyuan surname: Zhang fullname: Zhang, Jiyuan organization: College of Mathematics, Southeast University – sequence: 4 givenname: Hongling orcidid: 0000-0001-8698-8811 surname: Qiu fullname: Qiu, Hongling email: lingge945494@163.com organization: College of Automation Engineering, Nanjing University of Aeronautics and Astronautics |
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| Cites_doi | 10.1109/9.486638 10.1016/j.automatica.2023.111159 10.1016/j.automatica.2015.05.009 10.1109/TME.1964.4323124 10.1016/j.automatica.2021.109989 10.1007/s00034-019-01207-w 10.1016/j.sysconle.2008.07.001 10.1016/S0167-6911(96)00063-1 10.1007/s11071-016-2954-3 10.1002/mma.8989 10.1109/OJIES.2022.3233848 10.1002/rnc.3030 10.1016/j.automatica.2015.10.007 10.1016/j.ins.2022.01.012 10.1134/S0005117916020016 10.1002/9781118033029 10.1016/S0304-3800(00)00279-9 10.1109/TSMC.2018.2811390 10.1016/S0005-1098(01)00209-6 10.1016/j.automatica.2010.10.019 10.1080/0020717031000067457 10.1109/TAC.2008.921036 10.1007/BFb0109917 10.1109/TAC.2013.2263936 10.1109/TAC.2024.3359685 10.1007/978-3-540-73503-8_1 10.1007/s00034-023-02453-9 10.1109/CCDC.2009.5195156 10.23919/ECC.2013.6669108 |
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| SubjectTerms | Circuits and Systems Control methods Control systems Design parameters Design techniques Disturbances Eigenvalues Electrical Engineering Electronics and Microelectronics Engineering Feedback control Instrumentation Liapunov functions Riccati equation Robust control Signal processing Signal,Image and Speech Processing Stability analysis System theory Time invariant systems |
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| Title | Semi-global Interval Observer-Based Robust Control of Linear Time-Invariant Systems Subject to Input Saturation |
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