Abstract
The problem of adaptation of control systems (in the wide sense) reduces to finding the extremum of a functional that specifies the performance of the system to be adapted. We shall assume that the problem is parametrized, i.e., it reduces to finding parameters x1,…, xn,. of the adapting plant that extremize the functional Q = Q(X, A, B) (1.1) under given constraints X∈G. where X = (x1,…, xn) is the vector of the parameters to be optimized, G is the set of admissible values of this vector, A = (a1,…,am) is the vector of input signals, and B = (b1,…,bk) is the vector of the system's response to the disturbances A and to E = (E1,…,Ep,), which is the vector of uncontrolled parameters of the system (noise, drift, etc.). The function B = F(A, X, E) is not known.
Published Version
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