Transfer function

About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.

Adaptive stabilization of linear systems with unknown high-frequency gains

Abstract: This paper presents an algorithm for adaptively controlling a single-input, single-output process admitting an n-dimensional, minimum phase linear model of relative degree n*, with unknown parameters. Apriori knowledge of the sign of the model's high frequency gain is not required, and a sufficiently rich probing signal is not needed for stabilization.

High gain observers applied to problems in the stabilization of uncertain linear systems, disturbance attenuation and N∞ optimization

Abstract: In recent years, a number of approaches have been developed for solving the following problem in linear systems theory: design a state feedback control so that the norm of a specified transfer function is less than a given bound over all frequencies. This paper deals with the case in which not all systems states can be measured. It shows that if a certain minimum phase condition is satisfied, then the transfer function bound achievable using state feedback can be asymptotically recovered using a high gain observer. These results have application to the problems of disturbance attenuation, H∞ optimization and the stabilization of uncertain linear systems.

Controlled-object model generation method program thereof and control parameter adjustment method and program thereof

Abstract: Time series data on the operation amount given to a control object and the time series data on the control amount output from the control object according to it are acquired. Next, a predetermined transfer function is processed. When the time series data on the aforementioned operation amount is input to the transfer function, the time series data on the value output from the transfer function is acquired. One or more parameters of the transfer function are identified so as to generate a control object model so that an error between the time series data on the output value and the corresponding time series data on the control amount or a value calculated from the error is optimal.

Some properties and stability results for sector-bounded LTI systems

Abstract: This paper presents necessary and sufficient conditions for a linear, time-invariant (LTI) system to be inside sector [a, b] in terms of linear matrix inequalities in its state-space realization matrices, which represent a generalization of similar conditions for bounded /spl Hscr//sub /spl infin//-norm systems. Further, a weaker definition of LTI systems strictly inside sector [a,b] is proposed, and state-space characterization of such systems is presented. Sector conditions for stability of the negative feedback interconnection of two LTI systems and for stability of LTI systems with feedback nonlinearities are investigated using the Lyapunov function approach. It is shown that the proposed weaker conditions for an LTI system to be strictly inside a sector are sufficient to establish closed-loop stability of these systems. >