Replica of an advanced Takagi-Sugeno discrete observer without matrix inversion
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Universidade Federal de Minas Gerais
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This paper aims to present a systematic methodology for designing a Replica of an Advanced Takagi-Sugeno (RATS) discrete observer. Advance observers for nonlinear systems under Takagi-Sugeno representation have been designed for years using efficient structure such as non-PDC (Parallel Distributed Compensation), which it is powerful and, in some cases, it is the only observer able to estimate an unknown value. However, in spite of these advantages, this observer strategy presents an inconvenient: The use of matrix inversion. This paper will present the RATS observer which is equivalent an observer using the non-PDC structure without matrix inversion. By a stability analysis, not only the efficiency is proved but also its validity. Finally, some simulation results will emphasize the originality and the power of the proposed RATS observer.
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Cibernética, Engenharia de controle, Teoria do controle, Análise de sistemas
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Simulation Results - Stability Analysis - Nonlinear Systems - Complex Systems, Estimation Error - Discrete-time - Real Applications, Matrix Size - Observational Design - Membership Function, Internal Combustion Engine - Linear Matrix Inequalities, Equivalent Structure - Lyapunov Function Candidate, Nonlinear Matrix - Quadratic Lyapunov Function, Schur Complement
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https://ieeexplore.ieee.org/document/7737967