Dynamic Right Coprime Factorization and Observer Design for Nonlinear Systems
نویسندگان
چکیده
The output behavior of a nonlinear control system depends not only on its input but also on its initial conditions. These two factors have to be considered simultaneously in nonlinear systems design. This paper presents a new definition, called dynamic right factorization, for nonlinear dynamic control systems. This factorization takes the initial conditions as well as the system input into account. Coprimeness and fundamental properties of dynamic right coprime factorization are investigated. Its relations to the system observability and the observer design problem are discussed. An example is given to illustrate the procedure of obtaining the dynamic right factorization and designing an observer for a given nonlinear dynamic system.
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 کاملOutput Tracking of Nonlinear Feedback Systems with Perturbation Based on Robust Right Coprime Factorization
This paper considers a tracking problem of nonlinear feedback control systems with perturbations based on robust right coprime factorization. The proposed universal design scheme on the nonlinear control system can not only guarantee the robust stability of the perturbed systems but also realize the output tracking to the reference input. And the effectiveness of the proposed method is confirme...
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 کاملOperator Based Robust Nonlinear Control System Design of MIMO Nonlinear Feedback Control Systems
In this paper, operator based robust nonlinear control system design for multi-input multi-output nonlinear feedback control systems is proposed, that is, robust stability of the MIMO systems is studied by using operator based robust right coprime factorization approach. Some sufficient conditions for the MIMO nonlinear systems to be robust stable are derived. As a result, robust nonlinear cont...
متن کامل