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This brief investigates optimal reset law design of reset control systems with fixed reset time instants. First, closed-loop reset control systems are changed to discrete-time linear control systems with reset values as control inputs. Then the optimal reset law design problems are transferred to linear quadratic regulation problems and the optimal reset laws are then obtained by solving algebraic Riccati equations. As an application, the proposed technique is applied to track-seeking control of a kind of hard disk drive systems. Simulations show that the transient response is improved significantly. Especially, the proposed long-span seeking reset control is almost bang-bang, but the design process is much simpler.
Date of Publication: Sept. 2011