Abstract
This paper introduces the adaptive versions of proposed self-switched estimators for a class of nonlinear hybrid systems. This proposed estimation scheme can eliminate the common disadvantage of conventional state estimators, that is the requirement of fairly accurate information about process noise covariances. To obtain a good compromise about computational complexity and estimation accuracy, a Q-adaptive (QA) state estimator based on derivative-free estimators like second-order CDKF and first-order CDKF has been proposed and employed in this work. The efficacy of the proposed estimators in comparison with QAEKF has been demonstrated through simulation studies on a benchmark problem, namely chemical stirred tank reactor (CSTR).
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References
C.G. Cassandras, J. Lygeros, Stochastic Hybrid Systems (CRC Press, Taylor & Francis Group, LLC, 2007)
M. Buss, M. Glocker, M. Hardt, O. von Stryk, R. Bulirsch, G. Schmidt, Nonlinear hybrid dynamical systems: modeling, optimal control, and applications, in Modelling, Analysis, and Design of Hybrid Systems, ed. by E.G. Frehse, E. Schnieder (Springer, 2010)
A. Almagbile, J. Wang, W. Ding, Evaluating the performances of adaptive Kalman filter methods in GPS/ INS integration. J. Glob. Positioning Syst. 9(1), 33–40 (2010)
A.H. Mohamed, K.P. Schwarz, Adaptive filtering for INS/GPS. J. Geodesy 73, 193–203 (1999)
H.E. Soken, C. Hajiyev, A Novel Adaptive Unscented Kalman Filter For Pico Satellite Attitude Estimation. PHYSCON 2011, León (2011, September, 5)
K. Ito, K. Xiong, Gaussian filters for nonlinear filtering problems. IEEE Trans. Autom. Control 45(5), 910–927 (2000)
T.S. Schei, A finite-difference method for linearization in nonlinear estimation. Automatica 33(11), 2053–2058 (1997)
S. Chatterjee, S. Sadhu, T.K. Ghoshal, Fault detection and of non-linear hybrid system using self-switched sigma point filter bank. IET Control Theor. Appl. 9(7), 1093–1102 (2015)
W. Wang, L. Li, D. Zhou, K. Liu, Robust state estimation and fault diagnosis for uncertain hybrid nonlinear systems. Nonlinear Anal. Hybrid Syst. 1(1), 2–15 (2007)
S. Chatterjee, Improved fault detection and for nonlinear hybrid systems using self-switched CDKF. Selected for Presentation IEEE Indicon 2015 (New Delhi, India, 17–20 2015)
S. Chatterjee, S. Sadhu, T.K. Ghoshal, Improved estimation and fault detection method for a class of nonlinear hybrid systems using self switched sigma point filter. In 2014 International Conference on Control, Instrumentation, Energy and Communication (CIEC) (IEEE, 31 Jan 2014), pp. 578–582
S. Tafazoli, Hybrid system state tracking and fault detection using particle filters. IEEE Trans. Autom. Control 14(6), 1078–1087 (2006)
A. Mirzaee, K. Salahshoor, Fault diagnosis and accommodation of nonlinear systems based on multiple-model adaptive unscented Kalman filter and switched MPC and H-infinity loop-shaping controller. J. Process Control 22(3), 626–634 (2012)
S. Chatterjee, S. Sadhu, T.K. Ghoshal, Improved estimation and fault detection scheme for a class of non-linear hybrid systems using time delayed adaptive CD state estimator. IET-Signal Process. 11(7), 771–779 (2017)
S. Chatterjee, S. Sadhu, T.K. Ghoshal, Self-switched R-adaptive extended kalman filter based state estimation and mode determination for nonlinear hybrid systems. Computer, Communication, Control and Information Technology (Kolkata, India, 2014), pp. 1–6
F. Cadini, E. Zio, G. Peloni, Particle filtering for the detection of fault onset time in hybrid dynamic systems with autonomous transitions. IEEE Trans. Reliab. 61(1), 130–139 (2012)
C. Andrieu, A. Doucet, E. Punskaya, Sequential Monte Carlo methods for optimal filtering, in Sequential Monte Carlo Methods in Practice (Springer, New York, 2001)
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Chatterjee, S. (2020). Estimation of Nonlinear Hybrid Systems Using Second-Order Q-Adaptive Self-switched Derivative-Free Estimators. In: Saini, H., Srinivas, T., Vinod Kumar, D., Chandragupta Mauryan, K. (eds) Innovations in Electrical and Electronics Engineering. Lecture Notes in Electrical Engineering, vol 626. Springer, Singapore. https://doi.org/10.1007/978-981-15-2256-7_63
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DOI: https://doi.org/10.1007/978-981-15-2256-7_63
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