Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 67, Issue 5, Pages 2497-2504Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3079193
Keywords
Functional interval observers (FIOs); reachability analysis; switched descriptor systems (SDSs); zonotopes
Funding
- National Natural Science Foundation of China [61403267]
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This article investigates functional interval observer based estimation methods for discrete-time switched descriptor systems with disturbances. A functional observer is presented using the H-infinity formalism, and then a zonotope-based approach is applied to estimate its boundaries with a reduction of observer design constraints. The reachability analysis is combined with the H-infinity technique to design a switched functional interval observer with improved performance.
This article investigates functional interval observer based estimation methods for discrete-time switched descriptor systems with disturbances. A functional observer is presented using the H-infinity formalism, and then a zonotope-based approach is applied to estimate its boundaries with a reduction of observer design constraints. To avoid the wrapping effect brought by the order reduction operations in the zonotope approach, reachability analysis is combined with the H-infinity technique to design a switched functional interval observer with a better performance. Moreover, the relationship between the existing method, zonotope approach, and reachability analysis method is discussed in detail. The aforementioned methods are applied to an example for comparisons and to show their performance.
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