Optimal Reset Law Design of Reset Control Systems with Application to HDD Systems

This paper investigates optimal reset law design of reset control systems with fixed reset time instants. Firstly, closed-loop reset control system is changed to discrete linear control system with reset values as control input. Then the optimal reset law design problems are transferred to standard linear quadratic regulation problems and the optimal reset laws are then obtained by solving some Riccati equations. As an application, the proposed optimal reset law design is applied to track-seeking control of a kind of hard disk drive systems. Simulations show that the proposed technique can improve the transient response significantly. Especially, the proposed long-span seeking reset controller is almost time optimal, but the design process is much simpler than optimal time control design.