* Upcoming papers  
Subject Keyword Abstract Author
Coprime Factor Reduction of Parameter Varying Controller

Roberd Saragih and Widowati
International Journal of Control, Automation, and Systems, vol. 6, no. 6, pp.836-844, 2008

Abstract : This paper presents an approach to order reduction of linear parameter varying controller for polytopic model. Feasible solutions which satisfy relevant linear matrix inequalities for constructing full-order parameter varying controller evaluated at each polytopic vertices are first found. Next, sufficient conditions are derived for the existence of a right coprime factorization of parameter varying controller. Furthermore, a singular perturbation approximation for time invariant systems is generalized to reduce full-order parameter varying controller via parameter varying right coprime factorization. This generalization is based on solutions of the parameter varying Lyapunov inequalities. The closed loop performance caused by using the reduced order controller is developed. To examine the performance of the reduced-order parameter varying controller, the proposed method is applied to reduce vibration of flexible structures having the transverse-torsional coupled vibration modes.

Keyword : Parameter varying controller, polytopic systems, reduced-order controller, right coprime factorization, singular perturbation method.

Business License No.: 220-82-01782