TY - BOOK AU - Formalʹskiĭ,A.M. TI - Stabilisation and motion control of unstable objects T2 - De Gruyter studies in mathematical physics, SN - 3110392828 AV - TJ213 U1 - 531/.3 23 PY - 2016///] CY - Berlin, Boston PB - Walter de Gruyter GmbH KW - Control theory KW - Automatic control KW - Algorithms KW - Mechanical movements KW - Computer algorithms KW - Théorie de la commande KW - Commande automatique KW - Algorithmes KW - Mécanismes KW - algorithms KW - aat KW - SCIENCE / Mechanics / General KW - bisacsh KW - SCIENCE / Mechanics / Solids KW - fast KW - Electronic books N1 - Includes bibliographical references and index; A pendulum with stationary pivot -- A pendulum with wheel-based pivot -- A pendulum with a flywheel -- Wheel rolling control by means of a pendulum -- Optimal swinging and damping of a swing -- Pendulum control that minimizes energy consumption -- Local stabilization of an inverted pendulum by means of a single control torque -- Optimal control design for swinging and damping a double pendulum -- Global stabilization of an inverted pendulum controlled by torque in the inter-link jointinverted pendulum -- Global stabilization of an inverted pendulum controlled by torque in the pivot -- Multi-link pendulum on a moving base -- Stabilization of a ball on a straight beam -- Stabilization of a ball on a curvilinear beam -- Bicycle design -- Designing a control law to stabilize the bicycle tilt -- Bang-bang control and fluent control -- Trapezoidal control for a system with compliant elements N2 - "Systems with mechanical degrees of freedom containing unstable objects are analysed in this monograph and algorithms for their control are developed, discussed, and numerically tested. This is achieved by identifying unstable modes of motion and using all available resources to suppress them. By using this approach the region of states from which a stable regime can be reached is maximised. The systems discussed in this book are models for pendula and vehicles and find applications in mechatronics, robotics as well as in mechanical and automotive engineering"-- UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1157865 ER -