Method for controlling a switched electronic circuit

A method for controlling a switched electronic circuit connecting a voltage source u to a load R and forming a system having an output y and a plurality of operating modes i, at least some of which can therefore be activated by following a switching law σ, characterized in that the method comprises the steps of:

• measuring state variables x of the system having equilibrium values xr;
• associating at least one error parameter p with at least one electrical operating unknown of the system so as to represent the system in the form
• {
• x
• .
• =
• A
• σ
• ⁢
• x
• +
• B
• σ
• ⁢
• u
• +
• G
• σ
• ⁢
• p
• p
• .
• =
• 0
• Aσ being the state matrix, Bσ the input matrix and Gσ the parameter matrix in at least one of the modes i controlled by the switching law σ;
• estimating the values of the parameter p on the basis of a state observer of type
• {
• z
• ^
• .
• =
• A
• _
• σ
• ⁢
• z
• ^
• +
• B
• _
• σ
• ⁢
• u
• +
• L
• σ
• ⁡
• (
• y
• -
• y
• ^
• )
• y
• ^
• =
• C
• _
• ⁢
• z
• ^
• where z is a state vector such that zT=[xT,pT], {tilde over (C)} is an observation matrix such that Ĉ=[I0], I is an identity matrix, and, and Lσ is a gain matrix calculated by solving a linear matrix inequality (LMI) such that the error e with time between the state vector z and estimate ž thereof tends asymptotically toward zero;
• deducing therefrom estimated equilibrium values {circumflex over (x)}r of the state variables x;
• the switching law taking the following form
• σ
• *
• ⁡
• (
• x
• ^
• ,
• x
• ^
• r
• ,
• p
• ^
• )
• =
• arg
• ⁡
• [
• min
• i
• ⁢
• [
• w
• T
• ⁢
• P
• ⁡
• (
• A
• i
• ⁢
• x
• ^
• +
• B
• i
• ⁢
• u
• +
• G
• i
• ⁢
• p
• ^
• )
• ]
• ]
• where w=({circumflex over (x)}−{circumflex over (x)}r) and P is the solution to the Lyapunov equation.