This paper proposes and investigates the passivation control problem for a class of nonlinear systems with disturbance, that is, to construct a feedback control law such that the corresponding closed loop system is internally stable and passive. A necessary and sufficient condition of paassivation is given with feedthrough term.
In this paper, H ∞ state feedback controller and H ∞ output feedback controller design for a class of large scale interconnected continuous systems with N×N unknown but constant delays in the interconnections are addressed. Sufficient conditions for the existence of memoryless H ∞ state feedback control law and H ∞ output feedback control law for large scale interconnected time delay systems are presented with LMI approach,which is numerically tractable.
By means of linear matrix inequalities, a sufficient condition is given such that a prescribed discrete singular system is admissible and strictly passive. Moreover, under certain conditions, a static state feedback control law is designed such that the resulting closed-loop system is both admissible and strictly passive.
Using the switching technique and the Lyapunov function method, a continuous state feedback controller is built to ensure that for all allowable uncertainties the relevant closed-loop system is asymptotically stable.
By introducing the notion of generalized quadratic H∞ performance, the relationship between the existence of a robust H∞ dynamic state feedback controller and that of a robust H∞ static state feedback controller is given.
The feedback controller improves system tracking performance and suppresses load and mechanical disturbance while the feedforward controller compensates phase hysteresis introduced by feedback control.
The H∞-theory of control is used for the synthesis of a scalar and a multidimensional feedback controller.
A van der Pol coupled-oscillator model is used to develop a multivariable feedback controller based on the combined principle of compensating for internal cross feedbacks within the object and introducing damping feedbacks in each control channel.