In this paper, we propose an on-line planning method for a desired signal making use of on-line information of a control system.
On-line planning has the advantage of off-line planning in the following points.
In the off-line planning, a servo system deals with the influence of initial state values, disturbance and parameter perturbation. In the on-line planning, however, both the planning of the desired signal and the servo system deal with the influence. That is, the influence is reduced by changing the desired signal within its permitted domain.
However, processing time for the on-line planning should be shorter than that for the off-line planning. Therefore, the planner should be simple without any trial and error. The whole system with the planner and the control system should be stable because the planner uses the state of the control system.
In this paper, we propose an on-line planning method as follows. The permitted domain of the desired signal is expressed as parameters of the desired signal. By means of this expression, the planning and the design of the control system are replaced by the design for the controlled object having limitation of the desired signal.
This method has the following merits.
(1) Many methods proposed for design of control systems can be applied because the planning is included in the design of the control system.
(2) Processing time for the planning is short because the control rule of servo system is generally simple without any trial and error.
(3) The whole system with the planner and the control system is stable.
(4) Path planning is an expanded trajectory planning problem because a permitted domain of the desired signal for the trajectory planning is expressed as the scalar parameter of the desired signal and the domain for the path planning is expressed as parameters.
Further, this method is applied to a mobile robot and its simulation results are shown.
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