A. Casavola, A POLYNOMIAL SOLUTION TO THE GENERALIZED H-INFINITY CONTROL PROBLEM WITH MEASUREMENT NOISE, International Journal of Control, 61(2), 1995, pp. 443-458
Citations number
17
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
The paper deals with the solution of the generalized H-infinity (GH(in
finity)) control problem in the presence of stochastic measurement noi
se and output disturbance. Because of the presence of the measurement
noise, it is found that the problem cannot be solved, as in the zero m
easurement case, in a 'one-shot', but the so-called gamma-iteration pr
ocedure is required to obtain the solution. The problem is approached
by means of polynomial methods and the solution is achieved by solving
standard polynomial diophantine equations and a single well-condition
ed eigenvalue-vector problem, for whose solutions numerically reliable
algorithms exist. An example of an application is given in order to s
how the effectiveness of the GH(infinity) strategy in the case of very
highly coloured measurement noise, with control and noise bandwidths
overlapped.