Stabilization of Hamiltonian systems with nonholonomic constraints based on time-varying generalized canonical transformations
From MaRDI portal
Publication:5958603
DOI10.1016/S0167-6911(01)00150-5zbMath0987.93064MaRDI QIDQ5958603
Kenji Fujimoto, Toshiharu Sugie
Publication date: 3 March 2002
Published in: Systems \& Control Letters (Search for Journal in Brave)
Stabilization of systems by feedback (93D15) Hamilton's equations (70H05) Control of mechanical systems (70Q05) Transformations (93B17) Nonholonomic systems related to the dynamics of a system of particles (70F25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)
Related Items
Simultaneous stabilization of a class of nonlinear descriptor systems via Hamiltonian function method ⋮ Adaptive \(L_{2}\) disturbance attenuation control of multi-machine power systems with SMES units ⋮ Approximate dissipative Hamiltonian realization and construction of local Lyapunov functions ⋮ A new family of interconnection and damping assignment passivity-based controllers ⋮ Feedback equivalence of input-output contact systems ⋮ Power-based control: Canonical coordinate transformations, integral and adaptive control ⋮ Theoretical analysis for a class of rheonomous affine constraints on configuration manifolds. I: Fundamental properties and integrability/nonintegrability conditions ⋮ Modeling and passivity analysis of nonholonomic Hamiltonian systems with rheonomous affine constraints ⋮ Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations. ⋮ Problems on time-varying port-controlled Hamiltonian systems: geometric structure and dissipative realization ⋮ Stabilization of Hamiltonian systems with nonholonomic constraints based on time-varying generalized canonical transformations ⋮ Trajectory tracking control of nonholonomic Hamiltonian systems via generalized canonical transformations ⋮ Interconnection and damping assignment passivity-based control: a survey
Cites Work
- Explicit design of time-varying stabilizing control laws for a class of controllable systems without drift
- Tracking control of mobile robots: A case study in backstepping
- Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems
- On the Hamiltonian formulation of nonholonomic mechanical systems
- L\(_2\) gain and passivity techniques in nonlinear control.
- A New Feedback Method for Dynamic Control of Manipulators
- Asymptotic stabilization of minimum phase nonlinear systems
- Stabilization of Hamiltonian systems
- An intrinsic Hamiltonian formulation of the dynamics of LC-circuits
- Canonical transformation and stabilization of generalized Hamiltonian systems
- Stabilization of Hamiltonian systems with nonholonomic constraints based on time-varying generalized canonical transformations
