Control device, comprising a remote control housing (10; 10a; 10b; 10c; 10d) provided with a thumb wheel that is rotationally mobile about an axis and mobile in at least one other degree of mobility, the control device comprising a memory whose state changes at least on each transmission of a first press signal (S3; S3a; S3b; S3c, S3d; S4; S4a; S4b; S4c, S4d) provoked by a third action (A3; A3a; A3b; A3c, A3d; A4; A4a; A4b; A4c, A4d) of displacement of the thumb wheel in the at least one other degree of mobility, characterized in that the control device is a control device for an installation of a building, in that the control device comprises means for transmitting commands such that a first action of rotation of the thumb wheel in a first direction about the axis provokes a first control command, or a third control command (CMD1') according to the state of the memory and/or such that a second action of rotation of the thumb wheel in a second direction about the axis provokes a second control command, or a fourth control command (CMD2') according to the state of the memory and in that: • the first, second, third or fourth control command respectively relates to a modification of a setpoint quantity of a home automation equipment item (60, 70, 80): - progressively increasing, - progressively decreasing, - towards an upper limit value, - towards a lower limit value, or • the first control command and the second control command address a first command receiver connected to a first home automation equipment item, while the third control command and the fourth control command address a second command receiver connected to a second home automation equipment item, the first and third control commands each relating to a progressively increasing modification of a setpoint quantity and the second and fourth control commands each relating to a progressively decreasing modification of a setpoint quantity, or • the device produces control commands for a home automation equipment item of the type of actuator of a motorized solar protection screen comprising an awning apron with orientable slats and with adjustable deployment, the setpoint quantity being the opening of the screen, the first control command being a command for orientation of the slats in a first direction (1+), the second control command being a command for orientation of the slats in a second direction (1-), the third control command being a command for deployment of the awning apron (1++) and the fourth command being a command for folding back the awning apron (1--). • the first, second, third or fourth control command respectively relates to a modification of a setpoint quantity of a home automation equipment item (60, 70, 80): - progressively increasing, - progressively decreasing, - towards an upper limit value, - towards a lower limit value, or - progressively increasing, - progressively decreasing, - towards an upper limit value, - towards a lower limit value, • the first control command and the second control command address a first command receiver connected to a first home automation equipment item, while the third control command and the fourth control command address a second command receiver connected to a second home automation equipment item, the first and third control commands each relating to a progressively increasing modification of a setpoint quantity and the second and fourth control commands each relating to a progressively decreasing modification of a setpoint quantity, or • the device produces control commands for a home automation equipment item of the type of actuator of a motorized solar protection screen comprising an awning apron with orientable slats and with adjustable deployment, the setpoint quantity being the opening of the screen, the first control command being a command for orientation of the slats in a first direction (1+), the second control command being a command for orientation of the slats in a second direction (1-), the third control command being a command for deployment of the awning apron (1++) and the fourth command being a command for folding back the awning apron (1--).