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

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

Blog Article

We 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) skull bride and groom 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 here 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.