ISSN:
1573-2878
Keywords:
Minimum-time control
;
time-optimal control
;
distributed parameter systems
;
traveling waves
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, the minimum-time control problem for rest-to-rest translation of a one-dimensional second-order distributed parameter system by means of two bounded control inputs at the ends is solved. A traveling wave formulation allows the problem to be solved exactly, i.e., without modal truncation. It is found that the minimum-time control is not bang-bang, as it is for systems with a finite number of degrees of freedom. Rather, it is bang-off-bang, where a period of control inactivity in the middle of the control time interval is required for synchronization with waves propagated through the system.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940083
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