Download Adaptive control tutorial by Petros Ioannou, Barýp Fidan PDF

By Petros Ioannou, Barýp Fidan

Designed to fulfill the desires of a large viewers with out sacrificing mathematical intensity and rigor, Adaptive regulate educational offers the layout, research, and alertness of a large choice of algorithms that may be used to regulate dynamical platforms with unknown parameters. Its tutorial-style presentation of the elemental thoughts and algorithms in adaptive keep an eye on make it appropriate as a textbook.

Adaptive regulate educational is designed to serve the wishes of 3 unique teams of readers: engineers and scholars drawn to studying easy methods to layout, simulate, and enforce parameter estimators and adaptive regulate schemes with no need to totally comprehend the analytical and technical proofs; graduate scholars who, as well as achieving the aforementioned ambitions, additionally are looking to comprehend the research of easy schemes and get an concept of the stairs occupied with extra complicated proofs; and complicated scholars and researchers who are looking to learn and comprehend the main points of lengthy and technical proofs with a watch towards pursuing examine in adaptive regulate or comparable themes.

The authors in attaining those a number of ambitions by way of enriching the ebook with examples demonstrating the layout systems and simple research steps and through detailing their proofs in either an appendix and electronically to be had supplementary fabric; on-line examples also are on hand. an answer handbook for teachers could be got by way of contacting SIAM or the authors.

This ebook might be important to masters- and Ph.D.-level scholars in addition to electric, mechanical, and aerospace engineers and utilized mathematicians.

Preface; Acknowledgements; record of Acronyms; bankruptcy 1: creation; bankruptcy 2: Parametric versions; bankruptcy three: Parameter id: non-stop Time; bankruptcy four: Parameter id: Discrete Time; bankruptcy five: Continuous-Time version Reference Adaptive keep watch over; bankruptcy 6: Continuous-Time Adaptive Pole Placement regulate; bankruptcy 7: Adaptive keep watch over for Discrete-Time structures;

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Example text

The difference between the outputs of the estimation and parametric models, referred to as the estimation error, reflects the distance of the estimated parameters 0(t) from the unknown parameters 0* weighted by some signal vector. The estimation error is used to drive the adaptive law that generates 6(t) online. The adaptive law is a differential equation of the form where e is the estimation error that reflects the difference between 6(t) and 9* and H ( t ) is a time-varying gain vector that depends on measured signals.

Where a), ^ a)j for i /: j. Then is PE if and only ifu is sufficiently rich of order n. Proof. 3 can be found in [56, 87]. 3, where and In this case n — 2 and We can show that the matrix [H(jco\), H(ja)2)] is nonsingular, which implies that H(j(o\), H(ja>2) are linearly independent for any u>\, u>2 different than zero and co\ ^ a>2. Let us choose for some COQ ^ 0 which is sufficiently rich of order 2. 3. 4. Persistence of Excitation and Sufficiently Rich Inputs 33 Now and where Choosing TQ — — it follows that and which is a positive definite matrix.

11) that 9(t) = 9(t) is bounded due to ^^ being bounded. 6), We should note that V — —£2m2 < 0 implies that V is a negative semidefinite function in the space of 9. V in this case is not negative definite in the space of 9 because it can be equal to zero when 9 is not zero. ). These results are not as useful, as our objective is asymptotic stability, which implies that the parameter error converges to zero. 11) as follows. , lim^oo V(t) = V^. 14). 2. 15) that 2 l i, we we have nave efc ^. v is square integrable or ems e £2- Since w 2v ^ > 1, < f*elm 00 implies e jL-2£2.

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