Abstract
In this paper, we treat the problem of output feedback stabilization of nonlinear uncertain systems. We propose an output feedback controller that guarantees global uniform practical stability of the closed loop system.
Highlights
The problem of stabilization for uncertain systems has been widely investigated for many years [1,2,3,4,5,6,7,8,9,10,11]
In [1], a class of state feedback controls is proposed in order to guarantee uniform ultimate boundedness of every system response within an arbitrarily small neighborhood of the zero state. [5], [9] and [6] presented controllers that guarantee exponential stability of a ball containing the origin of the state space and the radius of this ball can be made arbitrary small
In [13], the concept of input to state practical stability is extended to stochastic case and an output feedback controller is proposed for a class of stochastic nonlinear systems with uncertain nonlinear functions
Summary
The problem of stabilization for uncertain systems has been widely investigated for many years [1,2,3,4,5,6,7,8,9,10,11]. In [13], the concept of input to state practical stability is extended to stochastic case and an output feedback controller is proposed for a class of stochastic nonlinear systems with uncertain nonlinear functions. Most of the recent nonlinear controllers are designed for an uncertain system that has a nominal linear part and the controller is designed based on the knowledge of the upper bound, possibly time varying and state dependent, of the uncertainties vector norm. Another class of uncertain systems which has received considerable attention, namely systems with nominal part which is affine in the control.
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