摘要:

This paper presents a new analytical describing-function based method which utilizes the phenomenon of attractors to predict the existence of stable, unstable and strange attractors in autonomous nonlinear systems. This method serves as a criterion for a route to chaos, which is an extension to the traditional criteria for limit cycle stability, thus bridging a gap between two apparently separate worlds in dissipative systems theory, namely traditional harmonic linearization techniques and the relatively new theory of strange attractors. An illustration of the procedure is presented by applying this method to documented examples of chaotic systems. Although the method is based on harmonic linearization, a comparison of analytical results with simulation results looks promising, especially in systems with a strong low-pass filter characteristic. The main advantage, however, remains the easy application compared to complicated and exact methods. The application of this tool in diverse areas of nonlinear control theory is discussed.

ISSN:0020-7179    

DOI:10.1080/00207179508921899

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

In this paper we consider a linear discrete-time system. We are concerned with the existence and design of a measurement feedback compensator such that in the closed loop system any initial state is forced to zero within a prescribed number of time steps. We follow the so-called two-sided approach and we first derive conditions for the existence of a compensator that achieves the required closed loop behaviour. With these conditions we give an expression for the minimal number of time steps in which any initial state can be forced to zero by means of a measurement feedback compensator. Finally, we present a method of computing such a compensator having a reduced order.

ISSN:0020-7179    

DOI:10.1080/00207179508921900

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

In this paper we consider the QFT control design problem for a square, linear time invariant, multi-input multi-output uncertain plant which has robust stability and robust performance specifications, A typical MIMO QFT procedure includes, first the design of a non-diagonal pre-controller,Gn(s), to meet certain criteria, followed by the well-known sequential design of a diagonal QFT controller,Gd(s) For the design of the non-diagonal controller, we present a new approach that emphasizes the bandwidth of the controllerGn(s)Gd(s)

ISSN:0020-7179    

DOI:10.1080/00207179508921901

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor

摘要:

A simple algorithm that decomposes the dynamics of a linear discrete-time system into stable modes, unstable modes and those on the unit circle, is considered here. The relationship between such a decomposition and the stable/unstable decomposition of continuous-time systems is also established.

ISSN:0020-7179    

DOI:10.1080/00207179508921902

出版商:Taylor & Francis Group    

年代:1995

数据来源: Taylor