A dead time estimation device capable of accurately estimating a dead time in a control system is provided. A dead time estimation device 6 includes a dead time calculation section 64 configured to obtain a dead time L{circumflex over ( )}′1 with which an evaluation function J in Equation (1) is at minimum
[Equation 7]
J=∫|Ĝ/e.sup.−{circumflex over (L)}′.sup.1.sup.s−Ĝ′|df  (1)
where G{circumflex over ( )}/e.sup.−L∧′1s is a frequency characteristic of an element from which a dead time element is removed from a transfer function of a control target P and G{circumflex over ( )}′ is a transfer function not including the dead time element in the control target P.

A building management system includes building equipment configured to operate in accordance with an input to alter a variable state or condition of a building, a feedback controller configured to generate the input as a function of a measured state of the building equipment, and an analytics circuit. The analytics circuit is configured to obtain and store a dataset comprising the measured state and the input for a plurality of time steps, determine, based on at least a portion of the dataset, a self-optimizing control function that defines a self-optimizing control variable as a function of the measured state, calculate a value of the self-optimizing control variable using the self-optimizing control function and the measured state, monitor the value of the self-optimizing control variable over time, and generate an indication of performance of the building equipment relative to optimal performance based on the value of the self-optimizing control variable.

A building temperature may be allowed to deviate from a comfort temperature set point to an energy saving temperature when a user is outside the geo-fence. Crossing information indicating when a user crosses into the geo-fence may be received. The crossing information may be stored over time to develop a history of when the user crosses into the geo-fence. A probability function that operates on at least part of the stored crossing information may be used to predict a time range of when the user is expected to next arrive at the building, the time range having a starting time and an ending time. The HVAC system may be instructed to drive the building temperature to an intermediate temperature at the starting time of the time range, wherein the intermediate temperature is between the energy saving temperature and the comfort temperature set point.

A dead time estimation device capable of accurately estimating a dead time in a control system is provided. A dead time estimation device 6 includes a dead time calculation section 64 configured to obtain a dead time L{circumflex over ()}1 with which an evaluation function J in Equation (1) is at minimum

[Equation 7]

J=|/e.sup.{circumflex over (L)}.sup.1.sup.s|df (1)

where G{circumflex over ()}/e.sup.L{circumflex over ()}1s is a frequency characteristic of an element from which a dead time element is removed from a transfer function of a control target P and G{circumflex over ()} is a transfer function not including the dead time element in the control target P.