Title |
Output Feedback Passivation of Non-square Linear Systems Using an Input-Dimensional Compensator |
Keywords |
(Feedback) Passivity ; Non-square System ; Parallel Feedforward Compensation ; Static Output Feedback ; Derivative Feedback |
Abstract |
We present a state-space approach to make non-square linear systems strictly passive by using an input-dimensional parallel feedforward compensator. A necessary and sufficient condition for the existence of the parallel feedforward compensator is given by the static output feedback formulation, which enables to utilize linear matrix inequality. By modifying the structure of the compensator the additional technical assumption in the previous result [1] is removed. The effectiveness of the proposed method is illustrated by some numerical examples which can be stabilized by the proportional-derivative (PD) and proportional-derivative-integral (PID) control laws. The proposed control scheme can successfully replace the measurements of derivative terms in the control laws. |