Observer-Based Iterative Learning Control For Linear Time-Varying Systems Using Lmi

This study presents the design of an observer-based iterative learning control law for linear systems using the stability theory and optimal function. The observer is introduced for states condition monitoring and output feedback. The D-type iterative learning control law is utilised to update the control inputs. Properties of stability, convergence, robustness, and optimality are investigated and demonstrated by stability theory and optimal theory. The convergence properties of the observer-based iterative learning control design are obtained by linear matrix inequalities. A simulation example is used to illustrate the validity and effectiveness of the proposed method.