QUASIVELOCITIES AND OPTIMAL CONTROL FOR UNDERACTUATED MECHANICAL SYSTEMS
Leonardo Colombo, David, Martín De Diego
Abstract
Leonardo Colombo, David, Martín De Diego
Abstract
This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original problem in a variational second-order lagrangian system subjected to constraints. The equations of motion are geometrically derived using an adaptation of the classical Skinner and Rusk formalism.
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This paper is concerned with the application of the theory of quasivelocities for optimal control for underactuated mechanical systems. Using this theory, we convert the original problem in a variational second-order lagrangian system subjected to constraints. The equations of motion are geometrically derived using an adaptation of the classical Skinner and Rusk formalism.
Key concepts: Underactuation, Formalism (music), Lagrangian, Mechanical system, Control theory (sociology), Optimal control, Equations of motion, Computer science