Simultaneous estimation of state and unknown input with L-infinity guarantee on error-bounds for fuzzy descriptor systems
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Universidade Federal de Minas Gerais
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This paper proposes a new L∞ observer design for fuzzy descriptor systems with unknown inputs. The descriptor form is treated using a singular redundancy system representation. To keep the consistency of the resulting fuzzy observer structure, we make use of a virtual variable playing the role of the one-step ahead state estimate. As a result, the observer gain can be constructed with free-structure decision variables to reduce the design conservatism. Using a membership-function dependent Lyapunov function, the observer design is reformulated as a convex optimization problem with a single line search parameter. In particular, the error bounds of both the state and the unknown input estimations can be minimized through the guaranteed L∞ performance level. The effectiveness of our result is demonstrated with a challenging real-world application on robot manipulators.
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Fuzzy models, Fuzzy descriptor systems, Fuzzy observers, Unknown inputs, Lyapunov method
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https://ieeexplore.ieee.org/document/8730411