\(H_{-}/H_{\infty}\) fault detection observer design for a polytopic LPV system using the relative degree. (English) Zbl 1396.93054
Summary: This paper proposes an \(H_{-}/H_{\infty}\) fault detection observer method by using generalized output for a class of polytopic Linear Parameter-Varying (LPV) systems. As the main contribution, with the aid of the relative degree of output, a new output vector is generated by gathering the original output and its time derivative, and it is feasible to consider \(H_{-}\) actuator fault sensitivity in the entire frequency for the new system. In order to improve actuator and sensor fault sensitivity as well as guarantee robustness against disturbances, simultaneously, an \(H_{-}/H_{\infty}\) fault detection observer is designed for the new LPV polytopic system. Besides, the design conditions of the proposed observer are transformed into an optimization problem by solving a set of Linear Matrix Inequalities (LMIs). Numerical simulations are provided to illustrate the effectiveness of the proposed method.
MSC:
| 93B36 | \(H^\infty\)-control |
| 93B35 | Sensitivity (robustness) |
| 93C05 | Linear systems in control theory |
Keywords:
\(H_{-}/H_{\infty}\) fault detection observer; polytopic LPV system; relative degree of output; actuator fault detection; sensor fault detectionReferences:
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