Time-varying stabilization of nonholonomic Hamiltonian systems via canonical transformations

This paper is concerned with the stabilization of nonholonomic systems in port-controlled Hamiltonian formulae via generalized canonical transformations. A special class of timevarying generalized canonical transformations are introduced which preserves the passivity property. Utilizing this transformation timevarying asymptotically stabilizing controllers for the nonholonomic Hamiltonian systems are derived. The proposed method is a natural generalization of passivity based control since we only employ the feedback which preserves the Hamiltonian structure of the original system.