Time-optimal output transitions for minimum phase systems: A frequency domain approach to post-actuation

2012 ◽  
Author(s):  
J. Haggerty ◽  
T. Singh
Keyword(s):  
Frequency Domain ◽  
Minimum Phase ◽  
Optimal Output ◽  
Time Optimal ◽  
Phase Systems ◽  
Frequency Domain Approach

Time-Optimal Output Transition for Minimum-Phase Systems

2013 ◽  
Vol 135 (6) ◽  
Author(s):  
Jennifer Haggerty ◽  
Tarunraj Singh
Keyword(s):  
Optimal Control ◽  
Time Delay ◽  
Control Problem ◽  
Minimum Phase ◽  
Transition Control ◽  
Optimal Output ◽  
Time Optimal ◽  
Phase Systems ◽  
Poles And Zeros ◽  
Double Integrator

The time-optimal output transition control problem for stable or marginally stable systems with minimum-phase zeros is discussed in this paper. A double integrator system with a real left-half plane zero is used to illustrate the development of the time-optimal output transition controller. It is shown that an exponentially decaying postactuation control profile is necessary to maintain the output at the desired final location. It is shown that the resulting solution to the output transition time-optimal control profile can be generated by a time-delay filter whose zeros and poles cancels the poles and zeros of the system to be controlled. The design of the time-optimal output transition problem is generalized and illustrated on the benchmark floating oscillator problem.

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