Duality Theorems of Nonlinear Time Lag Systems with State Saturation Nonlinearities and Multiple Time Delays

In this paper, the problem of the asymptotic state estimator design for a class of time lag systems with state saturation nonlinearities is explored. A simple criterion is established to guarantee the asymptotic convergence of the observation error between the observer state estimate and the true state. Such a criterion can be view as the dual to static output feedback controller for a class of time lag systems with multiple time varying delays. At last, an upper bound of arbitrary time varying delays is also derived to assure the observation error can converge asymptotically to zero. Yeong-Jeu Sun "Duality Theorems of Nonlinear Time-Lag Systems with State Saturation Nonlinearities and Multiple Time Delays" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-1 , December 2021, URL: https://www.ijtsrd.com/papers/ijtsrd49107.pdf Paper URL: https://www.ijtsrd.com/engineering/electrical-engineering/49107/duality-theorems-of-nonlinear-timelag-systems-with-state-saturation-nonlinearities-and-multiple-time-delays/yeongjeu-sun