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| DOI：10.1007/s11768-010-0025-8 |
| Received:January 22, 2010Revised:January 22, 2010 |
| 基金项目:This work was partly supported by the Research Grants Council of the Hong Kong Special Administrative Region of China under the Project CityU/113708, partly by the National Natural Science Foundation of China (No.60825303, 60834003), partly by the 973 Project (No.2009CB320600), partly by the Postdoctoral Science Foundation of China (No.20100471059), and partly by the Overseas Talents Foundation of the Harbin Institute of Technology. |
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| Nonsynchronized state estimation of uncertain discrete-time piecewise affine systems |
| Jianbin QIU,Gang FENG,Huijun GAO |
| (Harbin Institute of Technology;City University of Hong Kong) |
| Abstract: |
| This paper investigates the problem of robust H-infinity state estimation for a class of uncertain discretetime
piecewise affine systems where state space instead of measurable output space partitions are assumed so that the filter
implementation may not be synchronized with plant state trajectory transitions. Based on a piecewise quadratic Lyapunov
function combined with S-procedure and some matrix inequality convexifying techniques, two different approaches are
developed to the robust filtering design for the underlying piecewise affine systems. It is shown that the filter gains can be
obtained by solving a set of linear matrix inequalities (LMIs). Finally, a simulation example is provided to illustrate the
effectiveness of the proposed approaches. |
| Key words: Piecewise affine systems State estimation Linear fractional uncertainties Linear matrix inequality |
