A COMBINED ADAPTIVE CONTROL PARAMETRIZATION AND HOMOTOPY CONTINUATION TECHNIQUE FOR THE NUMERICAL SOLUTION OF BANG–BANG OPTIMAL CONTROL PROBLEMS

DOI10.1017/S1446181114000261zbMath1302.49044OpenAlexW2039752656MaRDI QIDQ2929386

M. A. Mehrpouya, Mostafa Shamsi, Mohsen Razzaghi

Publication date: 12 November 2014

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181114000261

zbMATH Keywords

control parametrization methodbang-bang optimal controlhomotopy continuation technique

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Adaptive control/observation systems (93C40) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (3)

A robust pseudospectral method for numerical solution of nonlinear optimal control problems ⋮ An efficient numerical solution for time switching optimal control problems ⋮ Gauss pseudospectral and continuation methods for solving two-point boundary value problems in optimal control theory

Cites Work

• The control parameterization method for nonlinear optimal control: a survey
• A survey of methods available for the numerical optimization of continuous dynamic systems
• Min-max optimal control of linear systems with uncertainty and terminal state constraints
• Minimum-time control of a crane with simultaneous traverse and hoisting motions
• Optimal control problems with a continuous inequality constraint on the state and the control
• A family of embedded Runge-Kutta formulae
• Abort landing in the presence of windshear as a minimax optimal control problem. II: Multiple shooting and homotopy
• Computational method for time-optimal switching control
• Numerical continuation methods: a perspective
• Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
• Optimal control and applications to aerospace: some results and challenges
• Time delayed optimal control problems with multiple characteristic time points: computation and industrial applications
• Optimal discrete-valued control computation
• Minimizing control variation in nonlinear optimal control
• Optimal control of the atmospheric reentry of a space shuttle by an homotopy method
• A modified pseudospectral scheme for accurate solution of Bang-Bang optimal control problems
• Continuation from a flat to a round Earth model in the coplanar orbit transfer problem
• OPTIMAL CONTROL OF MULTIPLE-TIME DELAYED SYSTEMS BASED ON THE CONTROL PARAMETERIZATION METHOD
• Homotopy method for minimum consumption orbit transfer problem
• Tracking control of linear switched systems
• Survey of Numerical Methods for Trajectory Optimization
• Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
• Computations and time-optimal controls
• OPTIMAL CONTROL OF SWITCHED IMPULSIVE SYSTEMS WITH TIME DELAY
• ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY
• New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation
• Computations for bang–bang constrained optimal control using a mathematical programming formulation
• The continuation method for functional equations
• High-speed switch-on of a semiconductor gas discharge image converter using optimal control methods.

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