Abstract
This chapter presents the minimum sensitivity adaptive systems. It discusses the problem of reducing system sensitivity caused by small variations of process parameters. In the case of small parameter variations, it is possible to design adaptive systems in which the appropriate adjustment of controller parameters is achieved by online solution of linear algebraic equations. The number of equations to be solved in the online parameter computer is equal to the number of adjustable controller parameters. One of the major advantages of such a system is that coefficients of the equations may be calculated off-line. This type of adaptation avoids the widely applied principle of cancellation of the process and controller transfer functions and, thus, ceases to be restricted to linear systems only. Besides the requirement imposed on system linearity, adaptive systems based on transfer functions cancellation suffer from the additional deficiency that the number of adjustable controller parameters must equal the number of variable process parameters.
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