A method of minimal-time control to a quantized linear discrete system with rational coefficients

In quantized control systems, the control can take only discrete (e.g. inte ger) values. Optimization of such systems has been conventionally performed by the mathematical programming method such as dynamic programming or inte ger programming. In a quantized, linear, time-invariant, discrete system wi th rational coefficients, a minimal-time control problem is formulated by u sing the transition between two points in the state space. Considering the properties of the system expressed by the state equation employed in the pr esent investigation and the relationship between a discrete-time control pr oblem and a mathematical programming problem, a solving method of this opti mal quantized linear discrete control problem is demonstrated with two nume rical examples.