Method of regulating and controlling a technical process such as spot-welding of metal sheets

Method of regulating and controlling a technical process which is executed in time either in a continuous manner or in a discontinuous manner by applying at each time t desired values {C1(t), . . . , Cn(t)} leading to a result R(t) which is measurable but not observable and generating a plurality of observable quantities separate from the result R(t) of which at least two are independent {G1(t), . . . , Gm(t)}, characterized in that:

• at least two independent observable quantities G1(t), . . . , Gp(t) from the plurality of the observable quantities {G1(t), . . . , Gm(t)}, are measured,
• with the aid of a predictive model M, or a set of models, of which the variables include the at least two independent observable quantities, an estimate Res(t)=M(G1(t), . . . , Gp(t)) of the result R(t) is calculated,
• with the aid of a control law L of which the input variable is the estimated result Res(t), new desired values {C1(t+1), . . . , Cn(t+1)}=L(Res(t)) are calculated which are applicable for the time t+1,
• the desired values {C1(t), . . . , Cn(t)} are replaced by the desired values {C1(t+1), Cn(t+1)}, and
• the predictive model M is a statistical adjustment model depending upon parameters {θ1, . . . , θp} which constitute a parameters vector θ adjusted on a learning base Bap consisting of all of the desired values, the measurements of the observable quantities and the measurement of the result for a plurality of successive executions of the technical process.