Dynamic feedback linearization of control systems with symmetry
DOI10.3842/SIGMA.2024.058MaRDI QIDQ6588222
Peter J. Vassiliou, Jeanne N. Clelland, Taylor J. Klotz
Publication date: 15 August 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
principal bundlecontact structuresflat outputsstatic feedback linearizationLie symmetry reductionexplicit integrability
Nonlinear systems in control theory (93C10) Geometric methods (93B27) Control of mechanical systems (70Q05) Dynamical systems in control (37N35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Control/observation systems governed by ordinary differential equations (93C15)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Cascade linearization of invariant control systems
- Linearization and input-output decoupling for general nonlinear systems
- Absolute equivalence and dynamic feedback linearization
- Analysis and control of nonlinear systems. A flatness-based approach
- On the largest feedback linearizable subsystem
- Nonlinear control design for slightly non-minimum phase systems: Application to V/STOL aircraft
- An algorithm for feedback linearization
- Flatness of dynamically linearizable systems
- A different look at output tracking: Control of a VTOL aircraft
- A flat triangular form for nonlinear systems with two inputs: necessary and sufficient conditions
- Efficient construction of contact coordinates for partial prolongations
- Exterior differential systems with symmetry
- A constructive generalised Goursat normal form
- Linearization by prolongations: new bounds on the number of integrators
- Some remarks on static-feedback linearization for time-varying systems
- Multi-input control-affine systems static feedback equivalent to a triangular form and their flatness
- Symmetry Reduction, Contact Geometry, and Partial Feedback Linearization
- A Geometric Approach to Dynamic Feedback Linearization
- Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
- The structure of nonlinear control systems possessing symmetries
- Geometric properties of linearizable control systems
- Sufficient Conditions for Dynamic State Feedback Linearization
- The GS algorithm for exact linearization to Brunovsky normal form
- Differential Flatness and Absolute Equivalence of Nonlinear Control Systems
- A condition for dynamic feedback linearization of control-affine nonlinear systems
- On dynamic feedback linearization of four-dimensional affine control systems with two inputs
- A Lie-Backlund approach to equivalence and flatness of nonlinear systems
- A linear algebraic framework for dynamic feedback linearization
- Flatness and defect of non-linear systems: introductory theory and examples
- Flatness of Multi-Input Control-Affine Systems Linearizable via One-Fold Prolongation
- A global formulation of the Lie theory of transformation groups
- A structurally flat triangular form based on the extended chained form
- Geometric approach to Goursat flags
- An Algorithm for Local Transverse Feedback Linearization
- Necessary and sufficient conditions for the linearisability of two-input systems by a two-dimensional endogenous dynamic feedback
- On absolute equivalence and linearization I
- Geometry of cascade feedback linearizable control systems
Related Items (1)
This page was built for publication: Dynamic feedback linearization of control systems with symmetry
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6588222)
