TY - GEN
T1 - Simultaneous Input and State Interval Observers for Nonlinear Systems with Rank-Deficient Direct Feedthrough
AU - Khajenejad, Mohammad
AU - Yong, Sze Zheng
N1 - Funding Information:
This work is partially supported by National Science Foundation grants CNS-1932066 and CNS-1943545.
Publisher Copyright:
© 2021 EUCA.
PY - 2021
Y1 - 2021
N2 - We address the problem of designing simultaneous input and state interval observers for Lipschitz continuous nonlinear systems with rank-deficient feedthrough, unknown inputs and bounded noise signals. Benefiting from the existence of nonlinear decomposition functions and affine abstractions, our proposed observer recursively computes the maximal and minimal elements of the estimate intervals that are proven to contain the true states and unknown inputs. Moreover, we provide necessary and sufficient conditions for the existence and sufficient conditions for the stability (i.e., uniform boundedness of the sequence of estimate interval widths) of the designed observer, and show that the input interval estimates are tight, given the state intervals and decomposition functions.
AB - We address the problem of designing simultaneous input and state interval observers for Lipschitz continuous nonlinear systems with rank-deficient feedthrough, unknown inputs and bounded noise signals. Benefiting from the existence of nonlinear decomposition functions and affine abstractions, our proposed observer recursively computes the maximal and minimal elements of the estimate intervals that are proven to contain the true states and unknown inputs. Moreover, we provide necessary and sufficient conditions for the existence and sufficient conditions for the stability (i.e., uniform boundedness of the sequence of estimate interval widths) of the designed observer, and show that the input interval estimates are tight, given the state intervals and decomposition functions.
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U2 - 10.23919/ECC54610.2021.9655152
DO - 10.23919/ECC54610.2021.9655152
M3 - Conference contribution
AN - SCOPUS:85124905188
T3 - 2021 European Control Conference, ECC 2021
SP - 2311
EP - 2316
BT - 2021 European Control Conference, ECC 2021
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2021 European Control Conference, ECC 2021
Y2 - 29 June 2021 through 2 July 2021
ER -