Transformation the Nonlinear System into the Observer Form: Simplification and Extension
نویسندگان
چکیده
The paper addresses the problem of transforming the discrete-time single-input single-output nonlinear control system into the observer form using the state and output transformations. The necessary and sufficient solvability conditions are formulated in terms of differential one-forms, associated with the input-output equation of the control system. These conditions simplify the existing conditions [10] and extend them for the systems with inputs. The procedures to find the state and output transformations are given.
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 کاملAn Algorithm for System Immersion into Nonlinear Observer Form: Forced System
The class of nonlinear system that can be put into nonlinear observer form (linear system with output injection) can be broadened if we employ the system immersion. We provide an algorithm with which one can check whether a forced system with relative degree r can be transformed into nonlinear observer form or not. The proposed algorithm is an extension of the previous result and does not requi...
متن کاملSensor Fault Detection for a class of Uncertain Nonlinear Systems Using Sliding Mode Observers
This paper deals with the issues of sensor fault detection for a class of Lipschitz uncertain nonlinear system. By definition coordinate transformation matrix for system states and output system, at first the original system divided into two subsystems. the first subsystem includes uncertainties but without any sensor faults and the second subsystem has sensor faults but is free of uncertaintie...
متن کاملA Variable Structure Observer Based Control Design for a Class of Large scale MIMO Nonlinear Systems
This paper fully discusses how to design an observer based decentralized fuzzy adaptive controller for a class of large scale multivariable non-canonical nonlinear systems with unknown functions of subsystems’ states. On-line tuning mechanisms to adjust both the parameters of the direct adaptive controller and observer that guarantee the ultimately boundedness of both the tracking error and tha...
متن کاملSimplification of Nonlinear DAE Systems with Index Tracking
The behavior of nonlinear analog circuits can be described by a set of differential algebraic equations (DAE). Since this equation system is getting very large, even for small circuits, symbolic analysis without approximation techniques is not practicable. Thus, an algorithm for automated simplification of nonlinear DAE systems has been developed and extended in the past years. In this paper we...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Eur. J. Control
دوره 15 شماره
صفحات -
تاریخ انتشار 2009