Time Optimal Output Transition for Minimum Phase Systems

Abstract

The timeoptimal output transition control problem for stable or marginally stable systems with minimumphase zeros is discussed in this paper. A double integrator system with a real lefthalf plane zero is used to illustrate the development of the timeoptimal 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 timeoptimal control profile can be generated by a timedelay filter whose zeros and poles cancels the poles and zeros of the system to be controlled. The design of the timeoptimal output transition problem is generalized and illustrated on the benchmark floating oscillator problem.