The control parameterization method for nonlinear optimal control: a survey
Qun Lin,Ryan Loxton,Kok Lay Teo +2 more
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The control parameterization method is a popular numerical technique for solving optimal control problems as mentioned in this paper, which discretizes the control space by approximating the control function by a linear combination of basis functions.Abstract:
The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research.read more
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TL;DR: In this paper, the authors give an overview of the principal techniques belonging to the direct transcription and collocation technique, which can be classified into two categories: direct and indirect methods.
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Fuel-optimal control for soft landing on an irregular asteroid
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TL;DR: The difficult bang-bang control problem caused by the indirect method is solved through an improved fast homotopic approach and Monte Carlo simulations show that the desired soft landing can be achieved by tracking the fuel-optimal trajectory.
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Robust multi-objective optimal switching control arising in 1,3-propanediol microbial fed-batch process
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Parameter estimation for nonlinear time-delay systems with noisy output measurements
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References
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Numerical Optimization
Jorge Nocedal,Stephen J. Wright +1 more
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A unified computational approach to optimal control problems
Kok Lay Teo,C. J. Goh,K. Wong +2 more
Journal ArticleDOI
Control parametrization: a unified approach to optimal control problems with general constraints
C. J. Goh,Kok Lay Teo +1 more
TL;DR: The aim is to provide a unified approach to the numerical solution of this general class of optimal control problems by using the control parametrization technique, where different types of constraints are shown to be equivalent to essentially the same functional form as the cost functional.