Time-optimal control of parabolic systems with boundary conditions involving time delays

1978 ◽  
Vol 25 (4) ◽  
pp. 563-574 ◽  
Author(s):  
G. Knowles
Keyword(s):  
Optimal Control ◽  
Boundary Conditions ◽  
Time Delays ◽  
Parabolic Systems ◽  
Time Optimal Control ◽  
Time Optimal

scholarly journals Jerk Limited Time Optimal Control of Flexible Structures

2001 ◽  
Author(s):  
Marco Muenchhof ◽  
Tarunraj Singh
Keyword(s):  
Optimal Control ◽  
Boundary Conditions ◽  
Control Algorithm ◽  
Flexible Structures ◽  
Numerical Results ◽  
Time Optimal Control ◽  
Limited Time ◽  
Benchmark Problem ◽  
Time Optimal ◽  
Geometric Boundary

Abstract This paper deals with the design of jerk-limited time-optimal control sequences for rest-to-rest maneuvers of flexible structures. The resulting jerk profiles will be either bang-bang or bang-off-bang. To ensure quiescent states at the end of the maneuver, a pole cancellation technique will be used. Further constraints account for the geometric boundary conditions. This paper will also investigate the development of the control profile upon variation of the maximum allowable amount of jerk. The last section presents numerical results. The proposed control algorithm is implemented for the Floating Oscillator benchmark problem.

Discrete-time optimal control of systems with unilateral time-delays

Automatica ◽  
1987 ◽  
Vol 23 (6) ◽  
pp. 763-765 ◽  
Author(s):  
Toru Fujinaka ◽  
Mituhiko Araki
Keyword(s):  
Optimal Control ◽  
Discrete Time ◽  
Time Delays ◽  
Time Optimal Control ◽  
Time Optimal

scholarly journals Time-optimal control of infinite order hyperbolic systems with time delays

2009 ◽  
Vol 19 (4) ◽  
pp. 597-608 ◽  
Author(s):  
Adam Kowalewski
Keyword(s):  
Optimal Control ◽  
Time Delays ◽  
Infinite Order ◽  
Hyperbolic Systems ◽  
Integral Form ◽  
Adjoint System ◽  
Time Optimal Control ◽  
Optimal Controls ◽  
State Equations ◽  
Time Optimal

Time-optimal control of infinite order hyperbolic systems with time delaysIn this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.

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