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001454647 019__ $$a1369598196$$a1369599439$$a1369645304
001454647 020__ $$a9783031234286$$q(electronic bk.)
001454647 020__ $$a3031234286$$q(electronic bk.)
001454647 020__ $$z9783031234279
001454647 020__ $$z3031234278
001454647 0247_ $$a10.1007/978-3-031-23428-6$$2doi
001454647 035__ $$aSP(OCoLC)1370330457
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001454647 08204 $$a629.8/36$$223/eng/20230217
001454647 1001_ $$aFu, Jun,$$eauthor.
001454647 24510 $$aDynamic optimization of path-constrained switched systems /$$cJun Fu, Chi Zhang.
001454647 264_1 $$aCham :$$bSpringer,$$c2023.
001454647 300__ $$a1 online resource (106 pages) :$$billustrations (black and white, and colour).
001454647 336__ $$atext$$btxt$$2rdacontent
001454647 337__ $$acomputer$$bc$$2rdamedia
001454647 338__ $$aonline resource$$bcr$$2rdacarrier
001454647 4901_ $$aStudies in systems, decision and control ;$$vvolume 459
001454647 504__ $$aIncludes bibliographical references.
001454647 5050_ $$aIntroduction -- Bi-level dynamic optimization of path-constrained switched systems -- Single-level dynamic optimization of path-constrained switched systems -- Dynamic optimization of switched systems with free switching sequences -- Multi-objective dynamic optimization of path-constrained switched systems -- Conclusions and future work.
001454647 506__ $$aAccess limited to authorized users.
001454647 520__ $$aThis book provides a series of systematic theoretical results and numerical solution algorithms for dynamic optimization problems of switched systems within infinite-dimensional inequality path constraints. Dynamic optimization of path-constrained switched systems is a challenging task due to the complexity from seeking the best combinatorial optimization among the system input, switch times and switching sequences. Meanwhile, to ensure safety and guarantee product quality, path constraints are required to be rigorously satisfied (i.e., at an infinite number of time points) within a finite number of iterations. Several novel methodologies are presented by using dynamic optimization and semi-infinite programming techniques. The core advantages of our new approaches lie in two folds: i) The system input, switch times and the switching sequence can be optimized simultaneously. ii) The proposed algorithms terminate within finite iterations while coming with a certification of feasibility for the path constraints. In this book, first, we provide brief surveys on dynamic optimization of path-constrained systems and switched systems. For switched systems with a fixed switching sequence, we propose a bi-level algorithm, in which the input is optimized at the inner level, and the switch times are updated at the outer level by using the gradient information of the optimal value function calculated at the optimal input. We then propose an efficient single-level algorithm by optimizing the input and switch times simultaneously, which greatly reduces the number of nonlinear programs and the computational burden. For switched systems with free switching sequences, we propose a solution framework for dynamic optimization of path-constrained switched systems by employing the variant 2 of generalized Benders decomposition technique. In this framework, we adopt two different system formulations in the primal and master problem construction and explicitly characterize the switching sequences by introducing a binary variable. Finally, we propose a multi-objective dynamic optimization algorithm for locating approximated local Pareto solutions and quantitatively analyze the approximation optimality of the obtained solutions. This book provides a unified framework of dynamic optimization of path-constrained switched systems. It can therefore serve as a useful book for researchers and graduate students who are interested in knowing the state of the art of dynamic optimization of switched systems, as well as recent advances in path-constrained optimization problems. It is a useful source of up-to-date optimization methods and algorithms for researchers who study switched systems and graduate students of control theory and control engineering. In addition, it is also a useful source for engineers who work in the control and optimization fields such as robotics, chemical engineering and industrial processes.
001454647 588__ $$aDescription based on print version record.
001454647 650_0 $$aNonlinear systems.
001454647 650_0 $$aMathematical optimization.
001454647 655_0 $$aElectronic books.
001454647 7001_ $$aZhang, Chi,$$eauthor.
001454647 77608 $$iPrint version:$$aFu, Jun.$$tDynamic optimization of path-constrained switched systems.$$dCham : Springer Nature Switzerland, 2023$$z9783031234279$$w(OCoLC)1363817290
001454647 830_0 $$aStudies in systems, decision and control ;$$vv. 459.
001454647 852__ $$bebk
001454647 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-23428-6$$zOnline Access$$91397441.1
001454647 909CO $$ooai:library.usi.edu:1454647$$pGLOBAL_SET
001454647 980__ $$aBIB
001454647 980__ $$aEBOOK
001454647 982__ $$aEbook
001454647 983__ $$aOnline
001454647 994__ $$a92$$bISE