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By Nikolai Michailovich Filatov, Heinz Unbehauen

This monograph demonstrates how the functionality of varied famous adaptive controllers could be more desirable considerably utilizing the twin influence. The transformations to include twin keep an eye on are discovered individually and independently of the most adaptive controller with out complicating the algorithms. a brand new bicriterial procedure for twin keep watch over is built and utilized to varied forms of well known linear and nonlinear adaptive controllers. functional purposes of the designed controllers to numerous real-time difficulties are offered. This monograph is the 1st e-book offering an entire exposition at the twin keep an eye on challenge from the inception within the early Sixties to the current cutting-edge aiming at scholars and researchers in adaptive regulate in addition to layout engineers in undefined.

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4. Classification of adaptive controllers of type III (The bicriterial approach allows the design of dual versions of all type III controllers. 2. Dual Effect and Neutral Systems An example of a system where the dual effect cannot appear is considered below. 2), c is an unknown parameter with the initial estimate cˆ(0) and variance of the estimate P(0), and the disturbance ξ (k ) has the properties as in eq. 8). This simplified model is an integrator with an unknown additive parameter. 2. Dual Effect and Neutral Systems for control optimization, eq.

6. 7. 7 that the parameter estimates converge in both cases. The adaptive dual controller provides, however, a smooth startup of the process and better control performance. 084 in the considered example. 2. 1 but with a time delay of d=4, according to eq. 38). The adaptive dual GMV controller, according to eqs. 62), is applied as well as the standard adaptive GMV controller based on the CE assumption for comparison. 1052 z − 2 . The plant parameters are assumed to be unknown and constant. The following values have been chosen for the GMV algorithm: 4.

4, is the set where both cost functions cannot be minimized since the minimization of one leads to an increase in the second cost. 5): { } J kc = E [ w(k + 1) − y (k + 1)]2 + r[u (k ) + q1u (k − 1) + ... 19) 4. BICRITERIAL SYNTHESIS METHOD FOR DUAL CONTROLLERS 38 Cautious control that minimizes the first cost function according to eq. 19) Jk Dual control that minimizes the second cost function according to eq. 4. Sequential minimization of two cost functions in the bicriterial approach. 20) where in the special case of the STR qi are the coefficients of the polynomial Q ( z −1 ) = q0 + q1 z −1 + ...

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