General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example
DOI10.1007/11221_2018_3zbMath1479.34019OpenAlexW2885561859MaRDI QIDQ3296418
Stephen L. Campbell, Peter Kunkel
Publication date: 7 July 2020
Published in: Applications of Differential-Algebraic Equations: Examples and Benchmarks (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/11221_2018_3
Implicit ordinary differential equations, differential-algebraic equations (34A09) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for differential-algebraic equations (65L80) Control/observation systems governed by ordinary differential equations (93C15) Model predictive control (93B45)
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- Comments on direct transcription solution of DAE constrained optimal control problems with two discretization approaches
- Zero dynamics and funnel control of linear differential-algebraic systems
- Solving higher index DAE optimal control problems
- Efficient path tracking methods
- Solving optimal control problems with control delays using direct transcription
- Completions of implicitly defined linear time varying vector fields
- Direct transcription solution of higher-index optimal control problems and the virtual index
- Direct transcription solution of high index optimal control problems and regular Euler-Lagrange equations
- Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index
- The additional dynamics of least squares completions for linear differential algebraic equations
- Completions of nonlinear DAE flows based on index reduction techniques and their stabilization
- Asymptotic output tracking of nonlinear differential-algebraic control systems
- Uniqueness of completions for linear time varying differential algebraic equations
- Stabilization of DAEs and invariant manifolds
- Tracking in nonlinear differential-algebraic control systems with applications to constrained robot systems
- A nonlinear observer for estimating parameters in dynamic systems
- Simulation of multibody systems with servo constraints through optimal control
- Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach
- Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index
- On the numerical treatment of linear-quadratic optimal control problems for general linear time-varying differential-algebraic equations
- Stabilization of constraints and integrals of motion in dynamical systems
- Asymptotic output tracking of a class of nonlinear systems by means of an observer
- A Behavioral Approach to Time-Varying Linear Systems. Part 2: Descriptor Systems
- Consistent Initial Condition Calculation for Differential-Algebraic Systems
- Solvability of General Differential Algebraic Equations
- Nonlinear inversion-based output tracking
- Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
- GPOPS-II
- Chapter 2: Regularization of Linear and Nonlinear Descriptor Systems
- Chapter 7: Normal Forms, High-Gain, and Funnel Control for Linear Differential-Algebraic Systems
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