摘要:

The decoupling of linear, time-invariant, multivariable systems into single-input, multiple-output subsystems is considered and a theorem by Falb and Wolovich completely solving a special case of this problem is extended to provide a strong necessary condition for decoupling. Unlike other results establishing necessary and sufficient conditions for this problem, the test developed herein is easily applied and does not require extensive constructions. Finally it is shown that this result extends easily to the more general case of decoupling a linear system into multi-variable subsystems.

ISSN:0020-7179    

DOI:10.1080/00207177508921979

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

The usually overlooked possibility of mixed strategy solutions is approached by applying the method of dual cones to fixed-duration linear quadratic multistage games with bounded controls. It is shown that the value of such games is piecewise quadratic when open-loop strategies are used, and is at best piecewise quadratic when closed-loop strategies are allowed. It is argued that computation of such value functions is generally excessively burdensome, hence supporting the viewpoint that new, approximate, or hybrid methods will be needed to obtain game solutions.

ISSN:0020-7179    

DOI:10.1080/00207177508921980

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

This paper deals with the problem of reducing the complexity of linear, time-invariant and dynamic systems which are described by input-output data corrupted by noise. The goal of the modelling procedure is to choose a model of low order such that the ‘ worst-case ’ error with respect to the unknown system is minimized when the input runs over a given set. An algorithm is given for the computation of the optimal model and of the error bounds according to the disturbance characteristics.

ISSN:0020-7179    

DOI:10.1080/00207177508921981

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

Annth-order closed-loop discrete-time system is said to exhibit a deadbeat response if any arbitrary initial state is taken to the origin innsteps. This paper studies the problem of obtaining a deadbeat response for a discrete-time system by means of constant output feedback and establishes the condition for the existence of a dead-beat controller. This condition is obtained directly from the restrictions on attainable poles when constant output feedback is employed. When the condition is satisfied, the required output feedback matrix exists and is calculated from a relationship given in the paper. The problem is first solved for single-input systems and the result is then extended to multivariable systems, where the output feedback matrices used are restricted to having unity rank. Deadbeat control of multivariable systems by means of unrestricted output feedback matrices is also discussed. A number of illustrative numerical examples are given.

ISSN:0020-7179    

DOI:10.1080/00207177508921982

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

A procedure is presented for the synthesis of multi-input multi-output linear time-invariant control systems using output feedback and if necessary a dynamic device. This additional dynamic part has the structure of a reduced order observer, but its order and parameters are determined rather to achieve a resultant closed-loop transfer matrix than to produce an estimate for unaccessible state variables or for linear functions of state variables. The given method allows in a simple manner for incorporation of additional design specifications relating to control effort and sensitivity properties.

ISSN:0020-7179    

DOI:10.1080/00207177508921983

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

The problem of identifiability of processes using measurements obtained under closed loop operation is treated. Single input-single output systems are considered. It is assumed that the feedback is time invariant, linear and noise free. It is also assumed that no external input signal is injected. Conditions, which are simultaneously necessary and sufficient for identifiability are derived. The results are illustrated by a few numerical examples.

ISSN:0020-7179    

DOI:10.1080/00207177508921984

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

A new method of reduction in order of linear time-invariant systems is introduced. It combines the desirable features of the time-moments and the modal methods of reduction. The methods is based on the concept of Pade approximation about more than one point. The reduced model derived by this method, retains the dominant modes (or any desirable modes) and fits the initial time-moments of the system

ISSN:0020-7179    

DOI:10.1080/00207177508921985

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

An algorithm is presented for obtaining a minimal-order realization of a linear time-invariant multivariable system from a given rational transfer function matrix. The procedure yields the dynamical equations directly in a canonical form, while still requiring less amount of computation than the existing methods.

ISSN:0020-7179    

DOI:10.1080/00207177508921986

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

One proposes a method for studying the input-output stability of some distributed parameter systems with space-dependent coefficients by investigating the stability of an ‘ associate system ’ with constant coefficients. This way provides an input-output stability condition, the application of which is very simple.

ISSN:0020-7179    

DOI:10.1080/00207177508921987

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor

摘要:

An iterative algorithm based on linear programming for solving the minimum-time minimum-effort discrete control problem for linear time-invariant systems is presented. The algorithm is based on transforming the minimum-effort problem to an equivalent linear programming one. Some interesting properties of the iterative linear programming algorithm are shown which result in reducing the computational time and storage memory required. Numerical examples are provided to indicate the efficiency of the proposed method.

ISSN:0020-7179    

DOI:10.1080/00207177508921988

出版商:Taylor & Francis Group    

年代:1975

数据来源: Taylor