By Nikolai Michailovich Filatov, Heinz Unbehauen

This monograph demonstrates how the functionality of varied recognized adaptive controllers will be more desirable considerably utilizing the twin influence. The variations to include twin keep an eye on are learned individually and independently of the most adaptive controller with out complicating the algorithms. a brand new bicriterial method for twin keep an eye on is constructed and utilized to numerous varieties of renowned linear and nonlinear adaptive controllers. useful functions of the designed controllers to numerous real-time difficulties are awarded. This monograph is the 1st publication offering an entire exposition at the twin keep watch over challenge from the inception within the early Nineteen Sixties to the current cutting-edge aiming at scholars and researchers in adaptive keep watch over in addition to layout engineers in undefined.

**Read or Download Adaptive dual control: theory and applications PDF**

**Similar information theory books**

**Advanced Inequalities (Series on Concrete and Applicable Mathematics)**

This monograph provides univariate and multivariate classical analyses of complicated inequalities. This treatise is a fruits of the author's final 13 years of study paintings. The chapters are self-contained and several other complex classes may be taught out of this booklet. huge heritage and motivations are given in each one bankruptcy with a accomplished checklist of references given on the finish.

Mathematical good judgment offers a conceptual framework for plenty of diversified components of technology. it's been well-known lately that good judgment is additionally major for information bases. to target this impor tant subject, a gaggle of researchers met at a workshop in Toulouse, France on November 16-18, 1977. The workshop used to be held on the Centre d'Etudes et de Recherches de L'Ecole Nationale Superieure de L'Aeronautique et de L'Espace de Toulouse (C.

**Coding Theory and Design Theory: Part I Coding Theory**

This IMA quantity in arithmetic and its purposes Coding conception and layout conception half I: Coding conception is predicated at the lawsuits of a workshop which used to be an essential component of the 1987-88 IMA application on utilized COMBINATORICS. we're thankful to the clinical Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for making plans and enforcing an exhilarating and stimulating 12 months lengthy application.

**Additional info for Adaptive dual control: theory and applications**

**Sample text**

The wide-sense dual (WSD) and the utility-costs (UC) control policies (BarShalom and Tse, 1976; Bayard and Eslami, 1985) are based on other approximations. The WSD control policy uses a linearization of the system equations around the nominal trajectory of the system where the OLF control policy is used. The utility costs approach (Bayard and Eslami, 1985), where various control policies may be used as a nominal trajectory of the systems for further linearization or other approximations, can be considered as a generalization of the WSD policy.

Differentiation of the eq. 28) gives the condition for the minimum as ∂J kc = 2[bˆ12 (k ) + pb1 (k )]u (k ) − 2bˆ1 (k ) w(k + 1) ∂ u (k ) + 2( pˆ 0T (k )bˆ1 (k ) + pbT p (k ))m 0 (k ) 1 0 +2ru (k ) + 2ru (k − 1) = 0 . Thus the minimization of eq. 28) gives the cautious control action as uc (k ) = bˆ1 (k ) w(k + 1) − [bˆ1 (k ) pˆ 0T (k ) + pbT p (k )] m0 (k ) + ru (k − 1) 1 0 bˆ12 (k ) + pb1 (k ) + r . 30) Minimization of eq. 22), with constraints according to eq. 31) see also eqs. 21). After substituting of eq.

31) see also eqs. 21). After substituting of eq. 2) into eq. 20) and taking the expectation (compare Appendix D) using eqs. 32) 40 4. BICRITERIAL SYNTHESIS METHOD FOR DUAL CONTROLLERS J ka (u c (k ) − θ (k )) − J ka (uc (k ) + θ (k )) = − pb1 (k )[u c (k ) − θ (k )]2 − 2 pbT p (k )m 0 (k )(uc (k ) − θ (k )) 1 0 + pb1 (k )[uc (k ) + θ (k )] 2 + 2 pbT p 1 0 (k )m 0 (k )(u c (k ) + θ (k )) = 4 pb1 (k )θ (k )uc (k ) + 4 pbT p (k )m 0 (k )θ (k ) . 33) Substituting eq. 31) provides the adaptive dual control law u (k ) = uc (k ) + θ (k )sgn [ pb1 (k )uc (k ) + pbT p (k )m 0 (k )] .