Evaluating deterioration in performance of control systems using closed loop operating data is addressed. A framework is proposed in which acceptable performance is expressed as constraints on the closed loop transfer function impulse response coefficients. Using likelihood methods, a hypothesis test is outlined to determine if control deterioration has occurred. The method is applied to a simu...

A discrete mixed H2/H1 optimal control problem is studied, where an upper bound on an H2 cost is minimized subject to an H1 norm bound on the closed-loop transfer function. New synthesis equations for the optimal controller are obtained, which are the discrete-time counterparts of continuoustime synthesis equations given in the literature. The synthesis equations are obtained by deriving a set ...

This paper tackles the disturbances in control operation in close-loop and its effect on the system by studding transfer function in presence and absence of disturbances. An example controlling a mechanical system is taken and the unexpected outside element effect consider here as disturbance, the close-loop feedback transfer function of the system. The model of the mechanical system is showing...

due to the changes which may occur in their parameters, systems are usually demonstrated by some subsystems for different conditions. this paper employs modified petri nets (mpn) to model theses subsystems and makes it simple to analyze them. in this method, first, the continuous transfer function is converted to a discrete transfer function and then, by mpn, system is modeled and analyzed. all...

Various optimal control strategies exist in the literature. Prominent approaches are Robust Control and Linear Quadratic Regulators, the first one being related to the H∞ norm of a system, the second one to the H norm. In 1994, F. De Bruyne et al [1] showed that assuming knowledge of the poles of a transfer function one can derive upper bounds on the H∞ norm as a constant multiple of its H norm...

In this paper, the synchronizability problem of dynamical networks is addressed, where better synchronizability means that the network synchronizes faster with lower-overshoot. The L2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability. For the equilibrium synchronization case, it is shown that there is a close relationship between the L2 norm of...