Gradient descent approach to optimal mode scheduling in hybrid dynamical systems

H Axelsson, Y Wardi, M Egerstedt… - Journal of Optimization …, 2008 - Springer
This paper concerns the problem of optimally scheduling the sequence of dynamic response
functions in nonlinear switched-mode hybrid dynamical systems. The control parameter has …

Direct methods with maximal lower bound for mixed-integer optimal control problems

S Sager, HG Bock, G Reinelt - Mathematical Programming, 2009 - Springer
Many practical optimal control problems include discrete decisions. These may be either
time-independent parameters or time-dependent control functions as gears or valves that …

Time‐optimal control of automobile test drives with gear shifts

C Kirches, S Sager, HG Bock… - … Control Applications and …, 2010 - Wiley Online Library
We present a numerical method and results for a recently published benchmark problem
(Optim. Contr. Appl. Met. 2005; 26: 1–18; Optim. Contr. Appl. Met. 2006; 27 (3): 169–182) in …

Consistent approximations for the optimal control of constrained switched systems---part 1: A conceptual algorithm

R Vasudevan, H Gonzalez, R Bajcsy, SS Sastry - SIAM Journal on Control …, 2013 - SIAM
Switched systems, or systems whose control parameters include a continuous-valued input
and a discrete-valued input which corresponds to the mode of the system that is active at a …

Switching mode generation and optimal estimation with application to skid-steering

TM Caldwell, TD Murphey - Automatica, 2011 - Elsevier
Skid-steered vehicles, by design, must skid in order to maneuver. The skidding causes the
vehicle to behave discontinuously during a maneuver as well as introduces complications to …

Second-order switching time optimization for nonlinear time-varying dynamic systems

ER Johnson, TD Murphey - IEEE Transactions on Automatic …, 2011 - ieeexplore.ieee.org
This technical note gives a method for calculating the first and second derivatives of a cost
function with respect to switching times for systems with piecewise second-differentiable …

Relaxations and approximations for mixed-integer optimal control

M Jung - 2014 - archiv.ub.uni-heidelberg.de
Zusammenfassung Diese Arbeit behandelt verschiedene Aspekte der Klasse gemischt-
ganzzahliger nichtlinearer Optimalsteuerungsprobleme (MIOCPs). Dies sind …

Optimal control of nonlinear switched system with mixed constraints and its parallel optimization algorithm

J Zhai, T Niu, J Ye, E Feng - Nonlinear Analysis: Hybrid Systems, 2017 - Elsevier
We consider an optimal control problem for a class of nonlinear switched systems with
mixed constraints, in which both the mode sequence of active subsystems and the number …

An efficient MPC algorithm for switched systems with minimum dwell time constraints

Y Chen, M Lazar - Automatica, 2022 - Elsevier
This paper presents an efficient suboptimal model predictive control (MPC) algorithm for
nonlinear switched systems subject to minimum dwell time constraints (MTC). While MTC …

Direct methods for optimal control

TJ Böhme, B Frank, TJ Böhme, B Frank - Hybrid systems, optimal control …, 2017 - Springer
In this chapter another type of methods to solve optimal control problems is discussed. Direct
methods transform the original problem via a discretization of the control and the state …