Mixed-Integer Representations in Control Design: - download pdf or read online

By Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu

ISBN-10: 3319269933

ISBN-13: 9783319269931

ISBN-10: 331926995X

ISBN-13: 9783319269955

In this booklet, the authors suggest effective characterizations of the non-convex areas that seem in lots of keep an eye on difficulties, resembling these related to collision/obstacle avoidance and, in a broader experience, within the description of possible units for optimization-based keep an eye on layout regarding contradictory pursuits.

The textual content offers with a wide type of platforms that require the answer of acceptable optimization difficulties over a possible quarter, that's neither convex nor compact. The proposed technique makes use of the combinatorial proposal of hyperplane association, partitioning the gap via a finite choice of hyperplanes, to explain non-convex areas successfully. Mixed-integer programming strategies are then utilized to suggest appropriate formulations of the general challenge. a number of buildings may possibly come up from a similar preliminary challenge, and their complexity below numerous parameters - house size, variety of binary variables, and so forth. - is usually discussed.

This e-book is an invaluable device for educational researchers and graduate scholars attracted to non-convex structures operating on top of things engineering zone, cellular robotics and/or optimum making plans and decision-making.

Show description

Read Online or Download Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications PDF

Best nonfiction_13 books

Get Unconscious Wisdom: A Superego Function in Dreams, PDF

Contra either Freud and Jung, argues that the subconscious isn't completely irrational.

Download e-book for iPad: Public Sector Deficits in OECD Countries: Causes, by Henry Cavanna

Those papers kingdom the explanations and effects of the deficits in OECD nations, and indicate treatments. After an summary of the location in OECD international locations, each one contributor writes approximately his personal nation: the united states, the united kingdom, Germany, Italy and France.

Download e-book for kindle: Designing Boundary Objects for Virtual Collaboration by Marc Marheineke

Marc Marheineke explores the phenomenon of boundary items within the strategy of digital collaboration. digital collaboration is an interactive act that connects together and voluntarily taking part contributors which are electronically associated and he examines those groups from diverse views.

Extra resources for Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications

Sample text

Springer (1995) 5. : Abstract linear dependence and lattices. Am. J. Math. 800–804 (1935) 6. : Facing up to arrangements: face-count formulas for partitions of space by hyperplanes. Am. Math. Soc. (1975) 7. : Partition of space. Am. Math. Monthly 541–544 (1943) 8. : Polylib: a library for manipulating parameterized polyhedra (1999) 9. : The double description method. Contrib. Theory Games 2, 51 (1959) 10. : Fourier-Motzkin elimination and its dual. Technical Report DTIC Document (1972) 11. : CDD/CDD+ Reference Manual.

7 delineates the merged cell A (∗ − ∗ ∗ ∗ ∗ ∗−) = R2− ∩ − R8 and the hyperplane arrangement which spanned them. 10). These differences become more significant with a larger number of hyperplanes and of obstacles. 1, can be applied to the problem. In the truth-table depicted in Fig. 8 we assign ‘0’ whenever the cell corresponds to an obstacle and ‘1’ otherwise. 26) is put into the canonical sum-of-products form: f (σ ) = σ (1)σ (8) + σ (2)σ (8) + σ (4)σ (8) + σ (2)σ (4) + σ (7) + σ (6) + σ (5) + σ (3), are the merged cells A (− ∗ ∗ ∗ ∗ ∗ ∗∗), A (∗ − ∗ + ∗ ∗ ∗∗), A (∗ ∗ ∗ ∗ ∗ ∗ ∗−), A (∗ ∗ − + ∗ ∗ ∗∗), A (∗ ∗ ∗ ∗ ∗ ∗ −∗), A (∗ ∗ ∗ ∗ ∗ − ∗∗), A (∗ ∗ ∗ ∗ − ∗ ∗∗) and A (− − + ∗ ∗ ∗ ∗∗).

By grid-ing the space and assigning to the resulting cells admissible/forbidden values? Each approach has its merits as on one hand we may have more precise bounds but difficult formulation and on the other hand we have over-approximations but under reduced/fixed complexity. Illustrative example of non-convex regions For the purpose of illustration let us consider a simple example as depicted in Fig. 5. A union of two obstacles, S = S1 ∪ S2 in R2 is considered. 4 for the numerical data). Furthermore, these partition the space into 37 cells from which 3 describe the obstacles and the rest characterize the feasible space S = R2 \ S.

Download PDF sample

Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications by Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu

by Michael

Rated 4.36 of 5 – based on 42 votes