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Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subject’s key concepts and foundations. Features and Topics: * a comprehensive overview is provided for specialists and nonspecialists * authoritative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and the regularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, and professionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control.—Mathematical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculus of Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). —Automatica The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition.—Applications of Mathematics.

Automatic control --- Control theory --- Mathematical models --- Mathematics. --- System theory. --- Calculus of variations. --- Control engineering. --- Systems Theory, Control. --- Control. --- Calculus of Variations and Optimal Control; Optimization. --- Systems theory. --- Mathematical optimization. --- Control and Systems Theory. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Systems, Theory of --- Systems science --- Science --- Isoperimetrical problems --- Variations, Calculus of --- Control engineering --- Control equipment --- Engineering instruments --- Automation --- Programmable controllers --- Philosophy --- Automatic control - Mathematical models

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This book concerns the numerical simulation of dynamical systems whose trajectories may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, firstly because of the many applications in which nonsmooth models are useful, secondly because they give rise to new problems in various fields of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution variational inequalities, each of these classes being itself split into several subclasses. With detailed examples of multibody systems with contact, impact and friction and electrical circuits with piecewise linear and ideal components, the book is is mainly intended for researchers in Mechanics and Electrical Engineering, but it will be attractive to researchers from other scientific communities like Systems and Control, Robotics, Physics of Granular Media, Civil Engineering, Virtual Reality, Haptic Systems, Computer Graphics, etc.

Automatic control --- Dynamics. --- Commande automatique --- Dynamique --- Mathematical models. --- Modèles mathématiques --- Automatic control -- Mathematical models. --- Control theory. --- Electromechanical devices --Dynamics --Mathematical models. --- Stability. --- Mechanical Engineering - General --- Civil Engineering --- Mechanical Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Dynamical systems --- Kinetics --- Engineering. --- Computational intelligence. --- Mechanics. --- Mechanics, Applied. --- Vibration. --- Dynamical systems. --- Mechanical engineering. --- Mechanical Engineering. --- Theoretical and Applied Mechanics. --- Vibration, Dynamical Systems, Control. --- Computational Intelligence. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Cycles --- Sound --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Construction --- Industrial arts --- Technology --- Mechanics, applied.

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While conceptually elegant, the generic formulations of nonlinear model predictive control are not ready to use for the stabilization of fast systems. Dr. Alamir presents a successful approach to this problem based on a co-operation between structural considerations and on-line optimization. The balance between structural and optimization aspects of the method is dependent on the system being considered so the many examples aim to transmit a mode of thought rather than a ready-to-use recipe; they include: - double inverted pendulum; - non-holonomic systems in chained form; - snake board; - missile in intercept mission; - polymerization reactor; - walking robot; - under-actuated satellite in failure mode. In addition, the basic stability results under receding horizon control schemes are revisited using a sampled-time, low-dimensional control parameterization that is mandatory for fast computation and some novel formulations are proposed which offer promising directions for future research.

Nonlinear control theory --- Automatic control --- Commande non linéaire --- Commande automatique --- Mathematical models --- Modèles mathématiques --- Automatic control -- Mathematical models. --- Electronic books. -- local. --- Nonlinear control theory. --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Mathematical models. --- Engineering. --- Chemical engineering. --- System theory. --- Calculus of variations. --- Automotive engineering. --- Control engineering. --- Robotics. --- Mechatronics. --- Control. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Calculus of Variations and Optimal Control; Optimization. --- Automotive Engineering. --- Industrial Chemistry/Chemical Engineering. --- Control theory --- Nonlinear theories --- Systems theory. --- Mathematical optimization. --- Control and Systems Theory. --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- Construction --- Industrial arts --- Technology --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Isoperimetrical problems --- Variations, Calculus of --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Engineering instruments --- Programmable controllers