Practical Methods for Optimal Control and Estimation Using Nonlinear Programming

By John T. Betts. 2009

1,717 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

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Citations in the corpus

Deep Imitation Learning for Complex Manipulation Tasks from Virtual Reality Teleoperation (2017, background): “Demonstrations could instead be collected from running trajectory optimization [12], [13], [14], [15] or reinforcement learning [16], [17], [18], [19], [20], [21], [22], but these meth-ods require well-shaped, carefully designed reward functions, access to dynamics model, and substantial robot…”
Deep predictive policy training using reinforcement learning (2017, methodology): “The methods in optimal control theory most resembling our approach are trajectory optimization [22] and model predictive control (MPC) [23].”
Q-compensated least-squares reverse time migration using low-rank one-step wave extrapolation (2016, background): “This strategy is usually refered to as discretize then optimize (Betts, 2010).”
Survey of convex optimization for aerospace applications (2017, methodology): “Though the direct method has been widely used in the literature [1], general NLP problems are nondeterministic polynomial-time hard (NP-hard), which means that the amount of computation required to solve the problem will not be limited by a bound determinable a priori.”
A Splitting Method for Optimal Control (2013, neutral): “…(x̃0, ũ0) and (z0, y0), for k = 0, 1, . . . (xk+1, uk+1) : = argmin (x,u) ( ID(x, u)+ φ(x, u)+ (ρ/2) ‖(x, u)− (x̃ k, ũk)− (zk, yk)‖22 ) (3) (x̃ k+1, ũk+1) : = argmin (x̃,ũ) ( ψ(x̃, ũ)+ (ρ/2) ‖(x̃, ũ)− (xk+1, uk+1)+ (zk, yk)‖22 ) (4) (zk+1, yk+1) := (zk, yk)+(x̃ k+1, ũk+1)−(xk+1, uk+1).”
Optimism-driven exploration for nonlinear systems (2015, methodology): “We control the dynamical system using model-predictive control (MPC) [14], [15], [16], [17].”
Learning Human Objectives by Evaluating Hypothetical Behavior (2019, methodology): “(7)Our approach to query synthesis draws inspiration from direct collocation methods in the trajectory optimization literature (Betts, 2010), feature visualization methods in the neural network interpretability literature (Olah et al.”
Aircraft Robust Trajectory Optimization Using Nonintrusive Polynomial Chaos (2014, methodology): “As pointed out byBetts [4], statistical analysis of experimental test data are often not accounted for in trajectory optimization problems.”
Multiphase Mixed-Integer Optimal Control Approach to Aircraft Trajectory Optimization (2013, background): “Practical issues for solving optimal control problems are discussed in ([4] Chap.”
An Optimal Control Approach to Sequential Machine Teaching (2018, background): “For contemporary surveys of direct and indirect numerical approaches, see Rao (2009); Betts (2010).”
A General-Purpose Software Framework for Dynamic Optimization (Een algemene softwareomgeving voor dynamische optimalisatie) (2013, background): “A comprehensive introduction to direct collocation can be found in the recent books by Biegler [43] and Betts [39].”