This paper considers observer design problem of singularly perturbed systems (SPSs) with multirate sampled and delayed measurements. The outputs are classified into two sets which are measured at different sampling rates and subject to transmission delays. The error system is modeled as a continuous-time SPS with a slow-varying delay and a fast-varying delay. A new Lyapunov functional taking the delay properties into account is constructed. Based on the Lyapunov–Krasovskii functional, sufficient conditions for stability of the error system are proposed by which an observer design method is proposed. A realistic example is used to illustrate the obtained results.
Observer Design for Singularly Perturbed Systems With Multirate Sampled and Delayed Measurements
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 27, 2015; final manuscript received February 2, 2016; published online March 11, 2016. Assoc. Editor: M. Porfiri.
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Yang, C., Zhang, L., and Zhou, L. (March 11, 2016). "Observer Design for Singularly Perturbed Systems With Multirate Sampled and Delayed Measurements." ASME. J. Dyn. Sys., Meas., Control. May 2016; 138(5): 051007. https://doi.org/10.1115/1.4032747
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