Abstract
This paper considers the issue of functional interval estimation in asynchronously discrete-time switched systems. Based on the H∞ formalism, a functional observer is first proposed and a weighted attenuation performance is achieved. Then, reachability analysis is used to estimate its boundaries. Moreover, by comparing with the zonotope-based method, it is found that the proposed method can effectively reduce the conservatism caused by the reduction-order operation in zonotope-based method. Both methods are applied to a circuit system for the comparison purpose and to highlight the effectiveness of our results.
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