Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints

DOI10.1080/02331930108844537zbMath1005.49023OpenAlexW1982266463MaRDI QIDQ2747935

Helmut Maurer, Dirk Augustin

Publication date: 14 October 2001

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930108844537

zbMATH Keywords

first-order necessary conditionsstate constraintscomputational sensitivity analysisdifferentiability of solutionsparametric nonlinear optimal controlcontainer crane

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Applications of optimal control and differential games (49N90) Automated systems (robots, etc.) in control theory (93C85) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (5)

Minimizing control volatility for nonlinear systems with smooth piecewise-quadratic input signals ⋮ Sensitivity analysis of linearly-implicit differential--algebraic systems by one-step extrapolation. ⋮ No-gap second-order optimality conditions for optimal control problems with a single state constraint and control ⋮ Second-order sufficient conditions for state-constrained optimal control problems ⋮ Some results on optimal control with unilateral state constraints

Uses Software

• BNDSCO

Cites Work

• Nonlinear optimal control problems with continuous state inequality constraints
• Optimal control of container cranes
• Feasible direction algorithm for optimal control problems with state and control constraints: Implementation
• Sensitivity analysis for state constrained optimal control problems
• Optimality, stability, and convergence in nonlinear control
• Stability and sensitivity of solutions to nonlinear optimal control problems
• Second-order sufficient conditions for control problems with mixed control-state constraints
• Sensitivity analysis for parametric control problems with control-state constraints
• Sufficient Optimality Conditions for Optimal Control Subject to State Constraints
• Real-time computation of feedback controls for constrained optimal control problems. part 1: Neighbouring extremals
• Real-time computation of feedback controls for constrained optimal control problems. part 2: A correction method based on multiple shooting
• Lipschitzian Stability for State Constrained Nonlinear Optimal Control
• Lipschitzian Stability in Nonlinear Control and Optimization
• A Survey of the Maximum Principles for Optimal Control Problems with State Constraints

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