Download PDF by Nikolai Michailovich Filatov, Heinz Unbehauen: Adaptive dual control: theory and applications

By Nikolai Michailovich Filatov, Heinz Unbehauen

ISBN-10: 3540213732

ISBN-13: 9783540213734

This monograph demonstrates how the functionality of varied recognized adaptive controllers will be greater considerably utilizing the twin influence. The adjustments to include twin keep watch over are learned individually and independently of the most adaptive controller with no complicating the algorithms. a brand new bicriterial procedure for twin regulate is constructed and utilized to numerous sorts of well known linear and nonlinear adaptive controllers. useful purposes of the designed controllers to a number of real-time difficulties are provided. This monograph is the 1st publication offering a whole exposition at the twin keep an eye on challenge from the inception within the early Sixties to the current state-of-the-art aiming at scholars and researchers in adaptive regulate in addition to layout engineers in undefined.

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Extra info for Adaptive dual control: theory and applications

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This simplified model is an integrator with an unknown additive parameter. 2. Dual Effect and Neutral Systems for control optimization, eq. 15), with the setpoint w(k). This optimal control problem has a simple solution. 5. 6. System with direct adaptation (with indirect identification) y 3. 7. 2. Dual Effect and Neutral Systems where the covariance of the estimation error is determined as { } P(k ) = E (c − cˆ(k )) 2 ℑk . 8) Utilizing the CE approach, one assumes that all stochastic variables in the system are equal to their expectations, that is, ξ(k)=0 and P(k ) =0 in the considered case.

A dual controller with uncommonly large excitation or too cautious behaviour might also perform poorer than the CE controller. 3. Simplifications of the Original Dual Control Problem The stochastic dynamic programming equations, eqs. 7), formally give a solution to the considered stochastic optimal control problem (Bar-Shalom and Tse, 1976; Bertsekas, 1976; Feldbaum, 1965). But it is well known that the analytical difficulties in finding simple recursive solutions and the numerical difficulties caused by the dimensionality of the underlying spaces make this problem practically unsolvable, even for simple cases (Bar-Shalom and Tse, 1976; Bayard and Eslami, 1985).

5), can be compensated when an integral feedback control law without any adaptation is used. Almost all adaptive systems have uncertain parameters or states that are multiplicatively connected to the control signal or state variables; therefore, they are not neutral. The dual effect can be used for improvement of the performance of such control systems. Exceptions are systems with additive uncertainty, like the system described by eq. 5). Therefore, the above discussion can be concluded with the following statement: The performance of almost all adaptive control systems can be improved through the application of dual control methods and the replacement of CE controllers (or other non-dual controllers) with dual controllers providing cautious behavior with optimal excitations.

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Adaptive dual control: theory and applications by Nikolai Michailovich Filatov, Heinz Unbehauen

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