A fluid injector system configured for use in administering at least one fluid to a patient, the fluid injector system comprising: a memory for storing therein a programmed flow rate (Fd) to be delivered during execution of a fluid delivery procedure using a fluid injector and a maximum allowable deviation (ΔFmax) in the programmed flow rate (Fd); at least one sensor (540, 550) configured for measuring a pressure of the at least one fluid, wherein the pressure is generated by at least one drive component of the fluid injector during execution of the fluid delivery procedure; and a control device operatively associated with the at least one drive component of the fluid injector, the control device including at least one processor programmed or configured to perform an operation comprising: (a) determining an actual flow rate (Fa) during a specified time interval of the fluid delivery procedure based on a change in pressure (ΔP) measured by the at least one sensor (540, 550) over the specified time interval; (b) determining a deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval; (c) comparing the maximum allowable deviation (ΔFmax) to the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval to determine a flow rate correction (F*); and (d) calculating a new programmed flow rate (Fn) for a subsequent time interval after the specified time interval based on the programmed flow rate (Fd) and the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval and a flow rate correction (F*). a memory for storing therein a programmed flow rate (Fd) to be delivered during execution of a fluid delivery procedure using a fluid injector and a maximum allowable deviation (ΔFmax) in the programmed flow rate (Fd); at least one sensor (540, 550) configured for measuring a pressure of the at least one fluid, wherein the pressure is generated by at least one drive component of the fluid injector during execution of the fluid delivery procedure; and a control device operatively associated with the at least one drive component of the fluid injector, the control device including at least one processor programmed or configured to perform an operation comprising: (a) determining an actual flow rate (Fa) during a specified time interval of the fluid delivery procedure based on a change in pressure (ΔP) measured by the at least one sensor (540, 550) over the specified time interval; (b) determining a deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval; (c) comparing the maximum allowable deviation (ΔFmax) to the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval to determine a flow rate correction (F*); and (d) calculating a new programmed flow rate (Fn) for a subsequent time interval after the specified time interval based on the programmed flow rate (Fd) and the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval and a flow rate correction (F*). (a) determining an actual flow rate (Fa) during a specified time interval of the fluid delivery procedure based on a change in pressure (ΔP) measured by the at least one sensor (540, 550) over the specified time interval; (b) determining a deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval; (c) comparing the maximum allowable deviation (ΔFmax) to the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval to determine a flow rate correction (F*); and (d) calculating a new programmed flow rate (Fn) for a subsequent time interval after the specified time interval based on the programmed flow rate (Fd) and the deviation (ΔFr) of the actual flow rate (Fa) from the programmed flow rate (Fd) over the specified time interval and a flow rate correction (F*).