Nonlinear Observer Design for Dynamic Positioning
نویسندگان
چکیده
Recent developments in optimal observer design for dynamic positioning have led to application of contraction analysis. In this paper a theoretical method for nonlinear optimal observer design and a suboptimal observer using a state-dependent Riccati equation approach are presented. The observer will be compared to an existing observer and its properties and performance is discussed. Early observer design for dynamic positioning (DP) focussed on applying linear optimal observer theory to the linearized equations of motion. Because of the large number of free parameters and the lack of global stability, the research area shifted to nonlinear observer design. The drawback of this approach however is that optimality is not guaranteed. Based on recent developments in the field of contraction theory a theoretical optimal nonlinear observer is presented, yielding, together with a state-dependent Riccati equation approach, a suboptimal observer design. Performance and applicability of this new observer are compared to an existing observer.
منابع مشابه
Development of a Robust Observer for General Form Nonlinear System: Theory, Design and Implementation
The problem of observer design for nonlinear systems has got great attention in the recent literature. The nonlinear observer has been a topic of interest in control theory. In this research, a modified robust sliding-mode observer (SMO) is designed to accurately estimate the state variables of nonlinear systems in the presence of disturbances and model uncertainties. The observer has a simple ...
متن کاملDesign Servo System Type and Positioning of Pole Observer Full Rank a Piezoelectric Servo Valve without Integrator
In this paper, the method of modern control approach for the design of controller and observer is used. Other functions such as neural controllers - or fuzzy sliding mode control can be found in this work and the results are compared. First, a dynamic model of the servo valve is intended for the governing equations in state-space form expression are obtained. Due to the system integrator is exp...
متن کاملDesign of Direct Exponential Observers for Fault Detection of Nonlinear MEMS Tunable Capacitor
In this paper a novel method is proposed for construction of an exponential observer for nonlinear system. The presented method is based on direct solution of dynamic error without any linearzing of nonlinear terms. Necessary and sufficient conditions for construction of direct observer are presented. Stability of the observer is checked using Lyapunov theorem. Also the ability of this observer...
متن کاملDesign of Nonlinear Robust Controller and Observer for Control of a Flexible Spacecraft
Two robust nonlinear controllers along with a nonlinear observer have been developed in this study to control a 1D nonlinear flexible spacecraft. The first controller is based on dynamic inversion, while the second one is composed of dynamic inversion and µ-synthesis controllers. The extension of dynamic inversion approach to flexible spacecraft is impeded by the non-minimum phase characteristi...
متن کاملDesign of nonlinear parity approach to fault detection and identification based on Takagi-Sugeno fuzzy model and unknown input observer in nonlinear systems
In this study, a novel fault detection scheme is developed for a class of nonlinear system in the presence of sensor noise. A nonlinear Takagi-Sugeno fuzzy model is implemented to create multiple models. While the T-S fuzzy model is used for only the nonlinear distribution matrix of the fault and measurement signals, a larger category of nonlinear systems is considered. Next, a mapping to decou...
متن کامل