
{"publication_number": "US-7277047-B1", "abstract": "this invention relates to sate estimation after processing measurements with unknown biases that may vary arbitrarily in time within known physical bounds . these biased measurements are obtained from systems characterized by state variables and by multidimensional parameters , for which the latter are also known and may vary arbitrarily in time within known physical bounds . the measurements are processed by a filter using a mean square optimization criterion that accounts for random and biased measurement errors , as well as parameters excursions , to produce estimates of the true states of the system . the estimates are applied to one of making a decision , operating a control system , and controlling a process .", "application_number": "US-34797406-A", "description": "state estimation after processing measurements with unknown biases that may vary arbitrarily in time within known physical bounds is considered . these measurements are obtained from systems characterized by state variables and by multidimensional parameters , for which the latter are unknown and may vary arbitrarily in time within known physical bounds . the solution of the problem requires a completely different method from the prior art . the simplified logic flow chart or diagram 200 of fig2 illustrates a method according to an aspect of the invention . in fig2 , the logic flow of the invention begins in a block 210 with initialization of the state estimate { circumflex over ( x )