sufficient conditions for robust observability of discrete linear time-varying systems
Authors: | Seo Jaewon, Seoul National University, Korea, Republic of Chung Dohyoung, Samsung Electronics Co., Korea, Republic of Park Chan Gook, Seoul National University, Korea, Republic of Lee Jang Gyu, Seoul National University, Korea, Republic of |
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Topic: | 2.5 Robust Control |
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Session: | Robustness Analysis I |
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Keywords: | robustness, observability, time-varying systems, discrete-time systems, uncertain linear systems |
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Abstract
The observability of discrete linear time-varying (LTV) systems with norm-bounded parameter uncertainties is analysed in this paper. Like in continuous case (Chung, et al., 1999), the sufficient conditions, which ensure the observability of the uncertain system, are proposed. In discrete cases, reconstructibility is no longer equivalent to observability, which results in the different form of equation in the observability conditions. The proposed conditions allow the evaluation of the observability for the discrete LTV systems with norm-bounded parameter uncertainty.