Minimal Discrete-time Simulation Control of the Revolutions in the Small-scaled Hydro State Transmission Used by the Control Algorithm with a Reachable Theorem in a Quantized Discrete Linear System with Rational Coefficients

Abstract

In quantized control systems, the control can take only given discrete (e, g. integer) values. Optimization of these systems has conventionally perrormed by mathematical programming (e. g. Dynamic Programming) methods. In this paper, the authors present a reachable theorem and the control algorithm for optimal solutions in a quantized discrete-time linear system with rational coefficients. Further, they formulate a quantized minimal discrete-time linear control problem of the small-scaled Hydro State Transmission (i. e. HST), and obtain simulated optimal solutions used by this algorithm.