Finite-time L1-gain output tracking control for positive linear systems

The problem of L-1 output tracking control of positive linear systems in finite time is addressed in this paper. By constructing a linear copositive Lyapunov-Krasovskii functional, some sufficient conditions are achieved to ensure that the states are finite-time bounded and the measurement outputs have L-1-gain performance for given systems, respectively. Next, a state feedback controller is designed to ensure that the output signals of the tracking system can effectively trace the specified signals of reference model with finite-time boundedness and L-1-gain performance. Finally, an example is given to illustrate the efficiency of the proposed method.