Patent ID: 8121119

Claim:
A method for an electrical control system to manage resources in a point-to-multipoint (P2MP) network that includes at least one root station and at least one leaf station each configured to transmit and receive one or more network packets over the P2MP network, the method for the electrical control system comprising: controlling the at least one root station based, at least in part, on output of the electrical control system, wherein the electrical control system is configured to reduce an amount of time for the electrical control system to produce an output comprising a steady state and also configured to define a maximum boundary for the output, the electrical control system comprising a feedback control loop and a compensator, wherein the compensator is configured to adjust a control error toward a zero value and to adjust the output toward the steady state; transmitting the one or more network packets to the at least one leaf station, wherein the at least one root station is capable of transmitting and receiving the one or more network packets from the at least one root station, and wherein the at least one leaf station is capable of communication with the at least one root station; and repeating the controlling and transmitting for at least one of the one or more network packets; and wherein the compensator is based, at least in part, on the equation F i = [ K i 1 ] ⁡ [ A i - I B i C i 0 ] - 1 ⁡ [ 0 1 ] , where ⁢ [ A i - I B i C i 0 ] is a non-singular matrix, where A i is a state matrix, where B i is an input matrix, where C i is an output matrix, and where K i is a controller gain.