Adaptive state observer for Lipschitz nonlinear systems

Robust Course Keeping Control of a Fully Submerged Hydrofoil Vessel without Velocity Measurement: An Iterative Learning Approach

“…In many practical applications, only angle signals can be measured and utilized [24][25][26][27][28][29][30][31][32] since the sensor information of angle velocity usually contains irregular noises caused by the environment and properties of electric components, which are difficult to filter [5,33]. Therefore, it is necessary to design a state observer to make state estimation for the system.…”

“…Therefore, it is necessary to design a state observer to make state estimation for the system. State observer based control schemes have been developed for many species of nonlinear systems such as nonlinear time-delay systems [34,35], Lipschitz nonlinear systems [24,26,36], and other structured systems [15,27,28]. According to the design theory, state observers can be classified, for example, as Luenberger observer [29,36], highgain observer [30], and sliding mode observer [31,32].…”

Observer design for uncertain nonlinear systems with unmodeled dynamics

“…The observer schemes have been developed for all kinds of nonlinear systems, such as timedelay systems (Ghanes, De Leon, & Barbot, 2013;Ibrir, 2009;Wu, 2009), Lipschitz nonlinear systems (Ekramian, Sheikholeslam, Hosseinnia, & Yazdanpanahd, 2013) and other class of nonlinear systems (Boizot, Busvelle, & Gauthier, 2010;Churilov, Medvedev, & Shepeljavyi, 2012;Farza, M'Saad, Maatoug, & Kamoun, 2010;Grip, Saberi, & Johansen, 2012;Hammouri, Bornard, & Busawon, 2010;Marino, Santosuosso, & Tomei, 2001;Menard, Moulay, & Perruquetti, 2010;Stamnes, Aamo, & Kaasa, 2011). However, few observer results have been reported for nonlinear systems with the unmodeled dynamics.…”

Distributed adaptive state observer for distributed control systems with Lipschitz nonlinearities and time delays

“…This limitation can be removed by taking the knowledge of structure of nonlinearity into account by using the generalized Lipschitzcondition [16]. This condition is used to design adaptive state observer for isolated system [17]. However the work done in [17] is not applicable to DCSs and time delay systems.…”