Abstract
Smooth Non Linear High Gain Observers for a Class of Dynamical Systems
Highlights
The observation and estimation of unmeasured system states and unknown parameters of a dynamical system is an important problem in process control
In this work we propose a graphical representation of the dynamical system that includes its states and functions, and we use two types of operators to create solution paths in the graph
In this work we have proposed an approach to develop nonlinear observers for a class of nonlinear dynamical systems
Summary
The observation and estimation of unmeasured system states and unknown parameters of a dynamical system is an important problem in process control. Continuous functions (such us the set valued sign function used in classical sliding mode control), and discretization (which can introduce chattering in the steady-state response if the gains are large enough, even if all the functions are continuous, as long as the system dynamics includes high frequency components with respect to the sampling time τ ) Another issue that might impact the upper bounds for high gain observers is the presence of noise in output signals, to which the observer may be highly sensitive [26], specially to output measurement noise for higher dimensional systems having nonlinearities with large Lipschitz constant. The observability of system (1) depends on the expressions of its functions, that is, on the properties of the maps between model variables defined by fi and gi
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