Joint state and parameter estimation of non-linearly parameterized discrete-time nonlinear systems

Automatica ◽  
2018 ◽  
Vol 97 ◽  
pp. 226-233 ◽  
Author(s):  
Salim Ibrir
Keyword(s):  
Parameter Estimation ◽  
Nonlinear Systems ◽  
Discrete Time ◽  
Joint State

scholarly journals An adaptive observer design approach for a class of discrete-time nonlinear systems

2018 ◽  
Vol 28 (1) ◽  
pp. 55-67 ◽  
Author(s):  
Krishnan Srinivasarengan ◽  
José Ragot ◽  
Christophe Aubrun ◽  
Didier Maquin
Keyword(s):  
Parameter Estimation ◽  
Nonlinear Systems ◽  
Linear Systems ◽  
Discrete Time ◽  
Design Procedure ◽  
Observer Design ◽  
Joint Estimation ◽  
Adaptive Observer ◽  
Waste Water Treatment Plant ◽  
Joint State

AbstractWe consider the problem of joint estimation of states and some constant parameters for a class of nonlinear discrete-time systems. This class contains systems that could be transformed into a quasi-LPV (linear parameter varying) polytopic model in the Takagi-Sugeno (T-S) form. Such systems could have unmeasured premise variables, a case usually overlooked in the observer design literature. We assert that, for such systems in discrete-time, the current literature lacks design strategies for joint state and parameter estimation. To this end, we adapt the existing literature on continuous-time linear systems for joint state and time-varying parameter estimation. We first develop the discrete-time version of this result for linear systems. A Lyapunov approach is used to illustrate stability, and bounds for the estimation error are obtained via the bounded real lemma. We use this result to achieve our objective for a design procedure for a class of nonlinear systems with constant parameters. This results in less conservative conditions and a simplified design procedure. A basic waste water treatment plant simulation example is discussed to illustrate the design procedure.

scholarly journals Parameter Estimation for Discrete-Time Nonlinear Systems Using EM

2008 ◽  
Vol 41 (2) ◽  
pp. 4012-4017 ◽  
Author(s):  
Adrian Wills ◽  
Thomas B. Schön ◽  
Brett Ninness
Keyword(s):  
Parameter Estimation ◽  
Nonlinear Systems ◽  
Discrete Time

scholarly journals Joint State and Parameter Estimation for Discrete-Time Takagi-Sugeno Model

2017 ◽  
Vol 783 ◽  
pp. 012016
Author(s):  
Krishnan Srinivasarengan ◽  
José Ragot ◽  
Didier Maquin ◽  
Christophe Aubrun
Keyword(s):  
Parameter Estimation ◽  
Discrete Time ◽  
Sugeno Model ◽  
Takagi Sugeno ◽  
Joint State

scholarly journals A Nearer Optimal and Faster Trained Value Iteration ADP for Discrete-Time Nonlinear Systems

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 14933-14944
Author(s):  
Junping Hu ◽  
Gen Yang ◽  
Zhicheng Hou ◽  
Gong Zhang ◽  
Wenlin Yang ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Value Iteration
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