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.
Time-Optimal Output Transition for Minimum-Phase Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 3, 2012; final manuscript received July 10, 2013; published online August 23, 2013. Assoc. Editor: Won-jong Kim.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Haggerty, J., and Singh, T. (August 23, 2013). "Time-Optimal Output Transition for Minimum-Phase Systems." ASME. J. Dyn. Sys., Meas., Control. November 2013; 135(6): 061014. https://doi.org/10.1115/1.4025032
Download citation file:
- Ris (Zotero)
- Reference Manager