Markov inequality rule for switching among time optimal controllers in a multiple vehicle intercept problem

Automatica ◽  
2018 ◽  
Vol 87 ◽  
pp. 274-280 ◽  
Author(s):  
Dejan Milutinović ◽  
David W. Casbeer ◽  
Meir Pachter
Keyword(s):  
Markov Inequality ◽  
Optimal Controllers ◽  
Time Optimal

scholarly journals Two-channel time-optimal control of nonstationary heat conductive process with account for response time of boundary control actions

2021 ◽  
Vol 29 (2) ◽  
pp. 47-60
Author(s):  
Natalya A. Il’ina
Keyword(s):  
Optimal Control ◽  
Control System ◽  
Parabolic Type ◽  
Time Optimal Control ◽  
Optimal Time ◽  
Time Control ◽  
Distributed Parameters ◽  
Control Actions ◽  
Optimal Controllers ◽  
Time Optimal

The task of organization a closed time-optimal control system of linear object with distributed parameters of parabolic type is considered. The object has two lumped internal controls for the power of heat sources excited in the electromagnetic field of an inductor. The proposed method for the synthesis of optimal controllers uses an alternance method for calculating the optimal program controls for each of the control actions. An example of the construction of a quasi-optimal time control system for the process of periodic induction heating of a metal workpiece with constant values of the feedback coefficients calculated for the most characteristic initial spatial distribution is given.

scholarly journals Minimal time sliding mode control for evolution equations in Hilbert spaces

2020 ◽  
Vol 26 ◽  
pp. 46
Author(s):  
Gabriela Marinoschi
Keyword(s):  
Hilbert Spaces ◽  
Evolution Equations ◽  
Sliding Mode ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
The Maximum Principle ◽  
Minimal Time ◽  
Diffusion Systems ◽  
Optimal Controllers ◽  
Time Optimal

This work is concerned with the time optimal control problem for evolution equations in Hilbert spaces. The attention is focused on the maximum principle for the time optimal controllers having the dimension smaller that of the state system, in particular for minimal time sliding mode controllers, which is one of the novelties of this paper. We provide the characterization of the controllers by the optimality conditions determined for some general cases. The proofs rely on a set of hypotheses meant to cover a large class of applications. Examples of control problems governed by parabolic equations with potential and drift terms, porous media equation or reaction-diffusion systems with linear and nonlinear perturbations, describing real world processes, are presented at the end.

Robust Time-Optimal Control of Flexible Structures With Parametric Uncertainty

1997 ◽  
Vol 119 (4) ◽  
pp. 743-748 ◽  
Author(s):  
Shin-Whar Liu ◽  
Tarunraj Singh
Keyword(s):  
Optimal Control ◽  
Equations Of Motion ◽  
Flexible Structures ◽  
Parametric Uncertainty ◽  
Time Optimal Control ◽  
Flexible Beam ◽  
Nonlinear Simulation ◽  
Switch Time ◽  
Optimal Controllers ◽  
Time Optimal

The design of robust time-optimal controllers using the sensitivity concept is presented in this paper. A parameter optimization problem is solved using the Switch Time Optimization algorithm to determine a bang-bang control profile that minimizes the maneuver time subject to the constraint that the sensitivity of the final states with respect to system parameters are zero. The proposed approach is illustrated on the benchmark floating oscillator problem and a slewing flexible beam whose equations of motion are nonlinear. Simulation results illustrate the reduction of residual vibrations of the system subject to the robust control profile, compared to the time-optimal control profile.

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