摘要:

Existing pole-assignment methods are inadequate as a complete design technique for linear multivariable systems since other design factors such as zero positions, steady-state characteristics, integrity, etc., must also be taken into account. This paper extends an existing pole-assignment technique, employing unity-rank feedback, to account for such additional design features. For annth-order multivariable system withminputs andloutputs, it is shown that there are essentiallym− 1 independent variables available in the design process. When complete state feedback or output feedback withl=nis used, thesem− 1 degrees of freedom are available to meet specifications in addition to pole assignment. When incomplete state feedback or output feedback withlless thannis used, thesem− l degrees of freedom must be shared between pole-assignment and the other design features.

ISSN:0020-7179    

DOI:10.1080/00207177308932382

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

N.a.s.c. of complete controllability of a class of linear time-invariant delay-differential systems are presented, and the result is expressed in an algebraic form.

ISSN:0020-7179    

DOI:10.1080/00207177308932383

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

A two-stage method for estimating time-invariant and time-varying parameters in linear systems is developed. The linear system is decomposed into two subsystems which have time-invariant and time-varying parameters, respectively. The unknown time-varying parameters are considered as control inputs and a linear state regulator quadratic cost function dynamic optimization problem is formulated. The solution of the associated two-point boundary-value problem for the optimum control results in an estimate for the time-varying parameters. The time-invariant parameters are estimated by a minimum mean-square error solution of a set of linear equations obtained by discretization of augmented state equations. The method is computationally simple and its effectiveness is illustrated by numerous examples.

ISSN:0020-7179    

DOI:10.1080/00207177308932384

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The study of optimal control of distributed parameter systems encompasses the study of the optimal-open-loop control law. The canonical equations of the solution of the former have been derived in the literature via the calculus of variations. The authors of this paper derive the canonical equations from the equation of dynamic programming to give more insight into its solution and that of a related problem, the optimal-feedback control problem.

ISSN:0020-7179    

DOI:10.1080/00207177308932385

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The theory of pole assignment in linear time invariant systems with incomplete state measurements is generalized to include the case in which a controllable observable plant of ordernis augmented by a compensator of fixed dimensionalityp(0≤p<n). The maximum sot of eigenvalues that can be preassigned arbitrarily is specified. The results previously available are shown to be particular cases of the theory proposed in the present paper, and Davison's (1970) algorithm is extended so as to apply to fixed order compensators design.

ISSN:0020-7179    

DOI:10.1080/00207177308932386

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The decoupling problem is solved for anm-inputm-output linear time-invariant system with multiple delays in the state and/or the control. The conditions under which such a system can be decoupled are found and the class of the feedback decoupling operators is given. These operators are realized by means of digital filters. Then, the more general linear model in which the input effects directly the output is considered which, upon the introduction of both feedback and feedforward, is shown to be decoupled, Two illustrative examples are included to support the theoretical results.

ISSN:0020-7179    

DOI:10.1080/00207177308932387

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The primary purpose of this paper is to present a frequency domain compensation scheme which is completely analogous to the time domain (state-space) employment of a Luenberger state estimator for approximating a linear state variable feedback (l.s.v.f.) design. To accomplish this objective we (i) employ a ‘ factorization ’ of the rational transfer matrix,T(s), of a given system as the productR(s)P(s)−1, whereR(s) andR(s) are ‘ relatively right prime ’ polynomial matrices, (ii) present a frequency domain characterization of l.s.v.f. in terms of its effect onT(s) (actually onR(s) andP(s)), and (iii) extend the notion of the classical ‘ eliminant matrix ’ of two polynomials and its determinant, the ‘ resultant ’, to the matrix case. An example is employed to illustrate the various steps involved and some comparisons are then made to other related investigations.

ISSN:0020-7179    

DOI:10.1080/00207177308932388

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

The present paper describes an error correcting code. It is a linear systematic (7,4) code which is capable of detecting two errors and correcting a single error. The encoding and decoding circuits have also been described.

ISSN:0020-7179    

DOI:10.1080/00207177308932389

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

摘要:

In the recent literature a control problem in which both the initial state vector as well as a vector of constant plant parameters ore unknown ha3 been treated utilizing sensitivity techniques referred to as optimally sensitive control. In this paper the concepts of optimally sensitive control as developed by Kokotovic, Perkins, Cruz and others are extended to the problem in which the state dynamics contain a vector of stochastic inputs which can be represented as Martingale processes. The resulting optimally sensitive system is shown to be an effective and realistic adaptive controller for systems containing unknown time-varying parameters. A numerical example is presented to demonstrate the effectiveness of the resulting control system at identifying and adapting to the levels of the unknown time-varying inputs.

ISSN:0020-7179    

DOI:10.1080/00207177308932390

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177308932391

出版商:Taylor & Francis Group    

年代:1973

数据来源: Taylor