Abstract: A system and method for controlling a plant having a minimum phase transfer function P(s) and given an input signal u, the plant having an output y and a plant frequency range comprising a transfer function J(s) comprising the product of a high gain filter J1(s) having a gain k1 sufficient that ? J ? ( ? ) ? > [ 1 + 1 ? ] when |?|??1 and |1+J(?)|>1/M for all ? wherein ?1 is selected to obtain a desired time response, and a low pass filter J2(s) selected such that |1+J(?)|>1/M for all ? and J(s) is strictly proper, wherein ?<1 and M>1 and ? and M are selected to meet a desired sensitivity requirement. An error signal e is calculated comprising the difference between the system input signal u and the plant output signal y, and the error signal modified according to the transfer function C(s)=P?1(s)J1(s)J2(s) and inputting the error signal into the plant. The system and method can be extended to unstable invertible plants.

Abstract: A system and method for controlling a plant having a minimum phase transfer function P(s) and given an input signal u, the plant having an output y and a plant frequency range comprising a transfer function J(s) comprising the product of a high gain filter J1(s) having a gain k1 sufficient that ? J ? ( ? ) ? > [ 1 + 1 ? ] when |?|??1 and |1+J(?)|>1/M for all ? wherein ?1 is selected to obtain a desired time response, and a low pass filter J2(s) selected such that |1+J(?)|>1/M for all ? and J(s) is strictly proper, wherein ?<1 and M>1 and ? and M are selected to meet a desired sensitivity requirement. An error signal e is calculated comprising the difference between the system input signal u and the plant output signal y, and the error signal modified according to the transfer function C(s)=P?1(s)J1(s)J2(s) and inputting the error signal into the plant. The system and method can be extended to unstable invertible plants.

Abstract: A digital parallelized Infinite Impulse Response (IIR) integrator filter comprising a first channel having a first input and second channel having a second input, a first adder to add the two channel inputs, an integrator to integrate the added channel inputs to provide a first channel output is described herein. The second input channel is adjacent in time to the first channel input. The second channel further comprises a second adder which adds the first output with the second channel input in order to produce a second output, adjacent in time with the first output. This configuration can be generalized to n inputs and m outputs.

Abstract: A method and system for measuring the energy of a signal in which samples of the signal are generated, analytical signals are produced from said samples of the signal, a convolution of an instantaneous autocorrelation function is computed from said analytical signals, and from a CB kernel derived from a Gaussian kernel and having compact support properties, and a time-frequency distribution of the energy of the signal from is determined from said instantaneous autocorrelation function.