A Lie group PMP approach for optimal stabilization and tracking control of autonomous underwater vehicles
DOI10.1002/RNC.7645MaRDI QIDQ6664699
Santhakumar Mohan, Sneha Gajbhiye, B. Anil
Publication date: 16 January 2025
Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)
Optimality conditions for problems involving partial differential equations (49K20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Automated systems (robots, etc.) in control theory (93C85) Applications of Lie groups to the sciences; explicit representations (22E70) Optimality conditions for problems involving ordinary differential equations (49K15)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Geometric integrators for higher-order variational systems and their application to optimal control
- Optimal control on Riemannian manifolds by interpolation
- Optimal control on Lie groups with applications to attitude control
- Stability of a bottom-heavy underwater vehicle
- On the geometry of Riemannian cubic polynomials.
- A discrete-time Pontryagin maximum principle on matrix Lie groups
- Symmetries in the wheeled inverted pendulum mechanism
- Real-time reinforcement learning by sequential actor-critics and experience replay
- Adaptive cruise control via adaptive dynamic programming with experience replay
- Turning motion control design of a two-wheeled inverted pendulum using curvature tracking and optimal control theory
- Discrete mechanics and variational integrators
- Optimal control problems on parallelizable Riemannian manifolds: theory and applications
- Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry and Lagrangian Reduction
- Inverse optimal stabilization of a rigid spacecraft
- Null cubics and Lie quadratics
- Stabilization and optimality results for the attitude control problem
- DISCRETE SECOND-ORDER EULER–POINCARÉ EQUATIONS: APPLICATIONS TO OPTIMAL CONTROL
- Optimal Kinematic Control of an Autonomous Underwater Vehicle
- An Almost Global Tracking Control Scheme for Maneuverable Autonomous Vehicles and its Discretization
- Optimal Control on Lie Groups: The Projection Operator Approach
- Rigid-Body Attitude Control
- Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite Riemannian metric
- Optimal control - A review of theory and practice.
- Combining Pontryagin's Principle and Dynamic Programming for Linear and Nonlinear Systems
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