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A \(P\)-type iterative learning controller for robust output tracking of nonlinear time-varying systems. (English) Zbl 0863.93040

The paper deals with the robust output tracking for a class of nonlinear systems of the form \(\dot x= f(x,u,t,d)\), \(y= h(x,t,d)\) where \(x,u,y\) and \(d\) are respectively the state, input, output and disturbance. The system is assumed to be strongly input-output decouplable and the purpose is to design a robust output tracking controller for the system. That is, given a desired output \(y_d\) (with corresponding input \(u_d)\), the authors propose an iterative controller of the form \(u_i= (1- \beta) u_{i-1} + K(y_d - y_i)\), \(i=1,2, \dots, K>0\), \(\beta \in (0,1)\). Under suitable assumptions, it is shown that the recursive controller defined in this way yields uniform boundedness of the system output towards the desired output. Simulation examples illustrate the proposed methodology.

MSC:

93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
93C99 Model systems in control theory
93B51 Design techniques (robust design, computer-aided design, etc.)
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