Reduced-order observer design for one-sided Lipschitz time-delay systems subject to unknown inputs
This study addresses the observer design problem for a class of one-sided Lipschitz time-delay systems in the presence of unknown inputs. The non-linearities are assumed to satisfy the one-sided Lipschitz and quadratically inner-bounded conditions; hence, a wider class of non-linear systems is inves...
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| Published in | IET control theory & applications Vol. 10; no. 10; pp. 1097 - 1105 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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The Institution of Engineering and Technology
27.06.2016
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| Abstract | This study addresses the observer design problem for a class of one-sided Lipschitz time-delay systems in the presence of unknown inputs. The non-linearities are assumed to satisfy the one-sided Lipschitz and quadratically inner-bounded conditions; hence, a wider class of non-linear systems is investigated in this work. A novel approach for the non-linear observer design problem subject to time delays and disturbances is proposed. Both H∞ observer design and asymptotic observer design with reduced-order are introduced. To deal with the time-delay issue, Wirtinger-based integral inequality, which encompasses the Jensen inequality, is employed to derive less conservative synthesis conditions in linear matrix inequalities form. Two numerical examples are given to illustrate the effectiveness and the edge of the authors' results over other relevant works in the literature. |
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| AbstractList | This study addresses the observer design problem for a class of one‐sided Lipschitz time‐delay systems in the presence of unknown inputs. The non‐linearities are assumed to satisfy the one‐sided Lipschitz and quadratically inner‐bounded conditions; hence, a wider class of non‐linear systems is investigated in this work. A novel approach for the non‐linear observer design problem subject to time delays and disturbances is proposed. Both H ∞ observer design and asymptotic observer design with reduced‐order are introduced. To deal with the time‐delay issue, Wirtinger‐based integral inequality, which encompasses the Jensen inequality, is employed to derive less conservative synthesis conditions in linear matrix inequalities form. Two numerical examples are given to illustrate the effectiveness and the edge of the authors' results over other relevant works in the literature. This study addresses the observer design problem for a class of one‐sided Lipschitz time‐delay systems in the presence of unknown inputs. The non‐linearities are assumed to satisfy the one‐sided Lipschitz and quadratically inner‐bounded conditions; hence, a wider class of non‐linear systems is investigated in this work. A novel approach for the non‐linear observer design problem subject to time delays and disturbances is proposed. Both H∞ observer design and asymptotic observer design with reduced‐order are introduced. To deal with the time‐delay issue, Wirtinger‐based integral inequality, which encompasses the Jensen inequality, is employed to derive less conservative synthesis conditions in linear matrix inequalities form. Two numerical examples are given to illustrate the effectiveness and the edge of the authors' results over other relevant works in the literature. This study addresses the observer design problem for a class of one-sided Lipschitz time-delay systems in the presence of unknown inputs. The non-linearities are assumed to satisfy the one-sided Lipschitz and quadratically inner-bounded conditions; hence, a wider class of non-linear systems is investigated in this work. A novel approach for the non-linear observer design problem subject to time delays and disturbances is proposed. Both H sub([infinity]) observer design and asymptotic observer design with reduced-order are introduced. To deal with the time-delay issue, Wirtinger-based integral inequality, which encompasses the Jensen inequality, is employed to derive less conservative synthesis conditions in linear matrix inequalities form. Two numerical examples are given to illustrate the effectiveness and the edge of the authors' results over other relevant works in the literature. |
| Author | Cuong Nguyen, Minh Trinh, Hieu |
| Author_xml | – sequence: 1 givenname: Minh orcidid: 0000-0002-2750-4212 surname: Cuong Nguyen fullname: Cuong Nguyen, Minh organization: School of Engineering, Deakin University, Geelong, VIC 3217, Australia – sequence: 2 givenname: Hieu surname: Trinh fullname: Trinh, Hieu email: hieu.trinh@deakin.edu.au organization: School of Engineering, Deakin University, Geelong, VIC 3217, Australia |
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| Keywords | control system synthesis quadratically inner-bounded condition Jensen inequality nonlinear observer design problem one-sided Lipschitz time-delay systems asymptotic observer design unknown inputs nonlinear systems H∞ observer design H∞ control linear matrix inequalities delays nonlinear control systems control nonlinearities Wirtinger-based integral inequality reduced order systems synthesis conditions system disturbances reduced-order observer design observers |
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| Snippet | This study addresses the observer design problem for a class of one-sided Lipschitz time-delay systems in the presence of unknown inputs. The non-linearities... This study addresses the observer design problem for a class of one‐sided Lipschitz time‐delay systems in the presence of unknown inputs. The non‐linearities... |
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| SubjectTerms | asymptotic observer design Asymptotic properties control nonlinearities control system synthesis delays Design engineering Disturbances Dynamical systems H∞ control H∞ observer design Inequalities Jensen inequality linear matrix inequalities nonlinear control systems nonlinear observer design problem nonlinear systems Nonlinearity observers one‐sided Lipschitz time‐delay systems quadratically inner‐bounded condition reduced order systems reduced‐order observer design Regular Papers Synthesis synthesis conditions system disturbances Time delay unknown inputs Wirtinger‐based integral inequality |
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| Title | Reduced-order observer design for one-sided Lipschitz time-delay systems subject to unknown inputs |
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