摘要：AbstractWe aim at the synthesis of an approximateminimax controlfor a system dynamic given in the formx(t)= f(x(t), u (t),d(t))wherexrepresents the state,uthe control (or input) andda disturbance (or perturbation). The disturbanced(t)is prescribed to a compact domain D on which it can take any value(bounded uncertainty).Our method makes use ofsymbolic computationto enclose the solutions corresponding to all possible disturbanced (-) ϵ D,together with a simple algorithm ofrandom samplingto select the minimum control u⁎(•). We illustrate the interest of this approximate minimax control on an example of a biochemical reactor.
