Reliable H Control of Linear Systems With Adaptive Mechanism
This technical note studies the problem of designing reliable H ∞ controllers with adaptive mechanism for linear systems. A new method for designing indirect adaptive reliable controller via state feedback is presented for actuator fault compensations. Based on the on-line estimation of eventual fau...
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| Published in | IEEE transactions on automatic control Vol. 55; no. 1; pp. 242 - 247 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.01.2010
Institute of Electrical and Electronics Engineers |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0018-9286 1558-2523 |
| DOI | 10.1109/TAC.2009.2036293 |
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| Abstract | This technical note studies the problem of designing reliable H ∞ controllers with adaptive mechanism for linear systems. A new method for designing indirect adaptive reliable controller via state feedback is presented for actuator fault compensations. Based on the on-line estimation of eventual faults, the proposed reliable controller parameters are updated automatically to compensate the fault effects on systems. A notion of adaptive H ∞ performance index is proposed to describe the disturbance attenuation performances of closed-loop systems. The design conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). The resultant designs can guarantee the asymptotic stability and adaptive H ∞ performances of closed-loop systems even in the cases of actuator failures. The effectiveness of the proposed design method is illustrated via a numerical example. |
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| AbstractList | This technical note studies the problem of designing reliable H ∞ controllers with adaptive mechanism for linear systems. A new method for designing indirect adaptive reliable controller via state feedback is presented for actuator fault compensations. Based on the on-line estimation of eventual faults, the proposed reliable controller parameters are updated automatically to compensate the fault effects on systems. A notion of adaptive H ∞ performance index is proposed to describe the disturbance attenuation performances of closed-loop systems. The design conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). The resultant designs can guarantee the asymptotic stability and adaptive H ∞ performances of closed-loop systems even in the cases of actuator failures. The effectiveness of the proposed design method is illustrated via a numerical example. This technical note studies the problem of designing reliable H infinity controllers with adaptive mechanism for linear systems. A new method for designing indirect adaptive reliable controller via state feedback is presented for actuator fault compensations. Based on the on-line estimation of eventual faults, the proposed reliable controller parameters are updated automatically to compensate the fault effects on systems. A notion of adaptive H infinity performance index is proposed to describe the disturbance attenuation performances of closed-loop systems. The design conditions are given in terms of solutions to a set of linear matrix inequalities (LMIs). The resultant designs can guarantee the asymptotic stability and adaptive H infinity performances of closed-loop systems even in the cases of actuator failures. The effectiveness of the proposed design method is illustrated via a numerical example. |
| Author | Dan Ye Guang-Hong Yang |
| Author_xml | – sequence: 1 givenname: Guang-Hong surname: Yang fullname: Yang, Guang-Hong – sequence: 2 givenname: Dan surname: Ye fullname: Ye, Dan |
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| Keywords | State feedback Adaptive system H infinite control Feedback regulation Control synthesis H control linear systems Adaptive control Linear control Adaptive method reliable control Closed feedback Asymptotic stability Indirect method Linear matrix inequality Apparatus failure linear matrix inequalities (LMIs) Actuator |
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| Snippet | This technical note studies the problem of designing reliable H ∞ controllers with adaptive mechanism for linear systems. A new method for designing indirect... This technical note studies the problem of designing reliable H infinity controllers with adaptive mechanism for linear systems. A new method for designing... |
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| SubjectTerms | Actuators Adaptative systems Adaptive control Adaptive control systems Adaptive systems Applied sciences Asymptotic properties Attenuation Automatic control Computer science; control theory; systems Control system analysis Control system synthesis Control systems Control theory. Systems Controllers Design engineering Design methodology Exact sciences and technology Faults H_{\infty} control linear matrix inequalities (LMIs) Linear systems Mathematical models Performance analysis Programmable control reliable control State feedback |
| Title | Reliable H Control of Linear Systems With Adaptive Mechanism |
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