摘要:

The aim of the present paper is to develop a time domain, input/output approach to the study of linear multivariable systems. This approach leads to the characteristic sequence method (CSM) which forms an extension of the characteristic locus method (CLM) to the time domain and it is envisaged that it should be used in a complementary manner to the CLM.

ISSN:0020-7179    

DOI:10.1080/00207178008961033

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

The classical problem of driving a time-invariant linear systemdx/dt = Ax + Bufrom the initial statex(t0)to the final statex(t1)is reconsidered. A method is developed to find a control vectoru(t)which drives the system fromx(t0)tox(t1)along the time-trajectoryx =exp(At )p+ exp(Ft)q, whereF, pandqare constant matrices. The method has the advantage that one can avoid computation of integrals invoking matrix functions ; if a solution exists,u(t)=B(1)(F — A)exp(Ft)q, whereB(1)is any {l}-inverse of B.

ISSN:0020-7179    

DOI:10.1080/00207178008961034

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

A new algorithm for solving the Lyapunov matrix equationX − A*XA = Qis proposed. The method proceeds by reducing to a special case for which an explicit formula is given. The technique is purely algebraic (i.e. involves no iteration), but does not involve the calculation of the characteristic polynomial ofAor reduction to a canonical form. IfQis symmetric and the matrices are of type n × n, the number of multiplications and divisions required is about 4n4. Two simple devices are given whereby the technique can be extended to a wider class of linear matrix equations.

ISSN:0020-7179    

DOI:10.1080/00207178008961035

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

The aim of this paper is to study the observability for systems described by first-order evolution equations and for those described by second-order evolution equations in the case of discrete-time observations. For the systems with a finite number of sensors we present necessary and sufficient conditions for observability. We show that these distributed parameter systems are never finite-step observable. We give the restricted sets of the initial-state spaces whose elements areN-step observable. We also investigate the relations between the systems with discrete-time observations and the systems with continuous-time observations from the viewpoint of observability Moreover, we see the essential difference between the parabolic case and the hyperbolic case.

ISSN:0020-7179    

DOI:10.1080/00207178008961036

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor

摘要:

The paper describes a two-stage method for the design of proportional-derivative output feedback for pole placement in multivariable systems. In the first stage, a number of poles are assigned by means of proportional output feedback. In the second stage, the assigned poles are preserved and a number of additional poles are positioned using proportional-derivative output feedback. The method is extended to the design of proportional-multiple-derivative output feedback and is illustrated by a numerical example.

ISSN:0020-7179    

DOI:10.1080/00207178008961037

出版商:Taylor & Francis Group    

年代:1980

数据来源: Taylor