Control parametrization: a unified approach to optimal control problems with general constraints

DOI10.1016/0005-1098(88)90003-9zbMath0637.49017OpenAlexW1967416910MaRDI QIDQ1098400

C. J. Goh, Kok Lay Teo

Publication date: 1988

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(88)90003-9

zbMATH Keywords

algorithmcontrol parametrizationgeneral constraintsfixed terminal time optimal control problems

Mathematics Subject Classification ID

Related Items (77)

Computing eigenvalues of Sturm-Liouville problems via optimal control theory ⋮ Approximation of optimal control problems with state constraints ⋮ A procedure to solve optimal control problems numerically by parametrization via runge-kutta-methods ⋮ Nonlinearly constrained time-delayed optimal control problems ⋮ A control parameterization method to solve the fractional-order optimal control problem ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ A mixed-integer linear programming model to optimize the vertical alignment considering blocks and side-slopes in road construction ⋮ Computation of time-optimal controls applied to rigid manipulators with friction ⋮ A computational method for a class of optimal relaxed control problems ⋮ Optimal control of bioprocess systems using hybrid numerical optimization algorithms ⋮ Parametric optimal control of uncertain systems under an optimistic value criterion ⋮ On using cubic spline for the solution of problems in calculus of variations ⋮ A penalty function-based random search algorithm for optimal control of switched systems with stochastic constraints and its application in automobile test-driving with gear shifts ⋮ Adjoint estimation from a direct multiple shooting method ⋮ Optimal control of singular systems with a cost on changing control ⋮ Nonlinear optimal control problems with continuous state inequality constraints ⋮ A symplectic sequence iteration approach for nonlinear optimal control problems with state-control constraints ⋮ A modified hybrid genetic algorithm for solving nonlinear optimal control problems ⋮ Control variable parameterization and optimization method for stochastic linear quadratic models ⋮ Species preservation in an optimal harvest model with random prices ⋮ Generating locally optimal trajectories for an automatically driven car ⋮ Dynamic optimization with a non-smooth LPV system in aero-engine transition state acceleration process ⋮ The control parameterization method for nonlinear optimal control: a survey ⋮ Convergence analysis of a computational method for optimal control of non-linear differential-algebraic systems ⋮ A hybrid parametrization approach for a class of nonlinear optimal control problems ⋮ Empirical mode decomposition-based time grid refinement optimization approach for optimal control problems ⋮ Synthesis of optimal feedback controller by neural networks ⋮ The piecewise optimisation method for approximating uncertain optimal control problems under optimistic value criterion ⋮ Development of linear quadratic control laws via control parametrization ⋮ A numerical algorithm for constrained optimal control problems ⋮ Local optimization of dynamic programs with guaranteed satisfaction of path constraints ⋮ An adaptive parameter approach for an approximate solution of optimal control problems ⋮ Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique ⋮ Control parameterization approach to time-delay optimal control problems: a survey ⋮ Application of a parametrization method to problem of optimal control ⋮ Equations for the missing boundary values in the Hamiltonian formulation of optimal control problems ⋮ Optimal soft landing control for moon lander ⋮ Convergent computational method for relaxed optimal control problems ⋮ An exact penalty function algorithm for time-lag control problems with control and terminal equality constraints ⋮ Nonlinearly constrained discrete-time optimal-control problems ⋮ GPOPS-II ⋮ A high-precision single shooting method for solving hypersensitive optimal control problems ⋮ A MATHEMATICAL MODEL OF OPTIMAL DRUG ADMINISTRATION IN THE PRESENCE OF RANDOM NOISE ⋮ Survey of direct transcription for low-thrust space trajectory optimization with applications ⋮ Suboptimal control strategies for finite-time nonlinear processes with input constraints ⋮ Penalty function solutions to optimal control problems with general constraints via a dynamic optimisation method ⋮ An exact penalty function approach to all-time-step constrained discrete- time optimal control problems ⋮ A parametric optimization approach for uncertain linear quadratic models ⋮ Low-intensity combination chemotherapy maximizes host survival time for tumors containing drug-resistant cells ⋮ Time optimal control of a thermoelastic system ⋮ A computational procedure for suboptimal robust controls ⋮ On constrained stochastic optimal parameter selection problems ⋮ A numerical solution of problems in calculus of variation using direct method and nonclassical parameterization ⋮ Combination of non-classical pseudospectral and direct methods for the solution of brachistochrone problem ⋮ Apply a novel evolutionary algorithm to the solution of parameter selection problems ⋮ A mathematical model of cancer chemotherapy with an optimal selection of parameters ⋮ Optimal control of robotic manipulators in the presence of obstacles ⋮ Direct method for forming the optimal open loop control of aerial vehicles ⋮ Optimal Control of Switched Systems by a Modified Pseudo Spectral Method ⋮ Visual MISER: an efficient user-friendly visual program for solving optimal control problems ⋮ Optimal control on a graph with application to train scheduling problems ⋮ Solving Fixed Final Time Fractional Optimal Control Problems Using the Parametric Optimization Method ⋮ Global finite-time stabilization of switched high-order rational power nonlinear systems ⋮ A new analytical method for solving a class of nonlinear optimal control problems ⋮ Direct transcription solution of optimal control problems with higher-order state constraints: theory vs practice ⋮ Constrained optimal control of switched systems and its application ⋮ Determination of the optimal initial function and the parameters for nonlinear time-delay systems ⋮ Time-optimal control problem for a linear parameter varying system with nonlinear item ⋮ Hybrid functions direct approach and state feedback optimal solutions for a class of nonlinear polynomial time delay systems ⋮ Computation of optimal feedforward and feedback control by a modified reduced gradient method ⋮ A new gradient computational formula for optimal control problems with time-delay ⋮ Optimal control problems with a continuous inequality constraint on the state and the control ⋮ Nonlinear convex and concave relaxations for the solutions of parametric ODEs ⋮ A smoothing approach for the optimal parameter selection problem with continuous inequality constraint ⋮ Wavelets approach for optimal boundary control of cellular uptake in tissue engineering ⋮ Proof of convergence for a global optimization algorithm for problems with ordinary differential equations ⋮ Direct solution of nonlinear optimal control problems using quasilinearization and Chebyshev polynomials

Uses Software

• MINOS
• NLPQL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sequential gradient-restoration algorithm for optimal control problems with nondifferential constraints
• Optimal control computation for linear time-lag systems with linear terminal constraints
• A feasible directions algorithm for time-lag optimal control problems with control and terminal inequality constraints
• Optimal control computation for nonlinear time-lag systems
• Local convergence of an algorithm for solving optimal control problems
• Computational methods for optimizing distributed systems
• Optimal take-off trajectories in the presence of windshear
• Primal-dual properties of sequential gradient-restoration algorithms for optimal control problems. II: General problem
• Optimal control of container cranes
• Recent advances in gradient algorithms for optimal control problems
• A globally convergent method for nonlinear programming
• Sequential gradient-restoration algorithm for optimal control problems with general boundary conditions
• Sequential gradient-restoration algorithm for optimal control problems
• A generalized gradient method for optimal control problems with inequality constraints and singular arcs
• Dual Approximations in Optimal Control
• A control parametrization algorithm for optimal control problems involving linear systems and linear¹
• Estimation of variable coefficients in parabolic distributed systems
• An optimal control problem involving a class of linear time-lag systems
• Primal and dual formulations of sequential gradient-restoration algorithms for trajectory optimization problems
• Error Estimates for a Discrete Approximation to Constrained Control Problems
• On local convergence of an algorithm for optimal control
• On global convergence of an algorithm for optimal control
• An efficient algorithm for solving optimal control problems with linear terminal constraints
• A feasible directions algorithm for optimal control problems with control and terminal inequality constraints
• Superlinearly convergent variable metric algorithms for general nonlinear programming problems
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• An abstract framework for the theory of process optimization
• Finite-Dimensional Approximations of State-Constrained Continuous Optimal Control Problems
• Computation of optimal controls using a piecewise polynomial parameterization

This page was built for publication: Control parametrization: a unified approach to optimal control problems with general constraints