LMI-based neurocontroller for guaranteed cost control of uncertain servo system

This paper considers the robust tracking control problem that is based on the guaranteed cost control approach with additive gain perturbation. Based on the linear matrix inequality (LMI) design approach, a class of a state feedback controller is established and some sufficient conditions for the existence of guaranteed cost controller are derived. A novel contribution is that the guaranteed cost control is applied to uncertain servo system for the first time. As a result, it is shown that the robust stability for uncertain servo system and the reduction of the cost performance are both attained