Control Law Design With Dead-Beat Property in Continuous-Time Dynamical Systems

In this paper, an open-loop control scheme is developed to design of a dead-beat control effort in the high order continuous-time lti systems. the dead-beat control is really a finite-time control law. in this method, the input signal is manually selected such that the output signal becomes constant in a finite time. in the lti systems, having known the step response, a control signal could be exactly selected such a way that the control objective would be met in a finite time. for this goal, the dead-beat control problem is firstly investigated in a standard first order system. then a similar problem is studied in the second order systems. finally a general design framework would be developed to obtain a dead-beat control policy in the high order continuous-time systems. in the proposed method, the control design problem is deliberately converted into the solution of a linear matrix equation. therefore the control signal would be determined via the solution of an algebraic equation. the suggested procedure has been successfully applied in some continuous-time lti systems. the simulation results show the effectiveness of the proposed control method for designing of a finite-time control law in the continuous-time lti systems.