摘要:

A single-input modal control theory is developed whereby the loop gains of a single-input time-invariant multi-variable system may be calculated using simple formulae for the cases when both the open-loop plant matrix and the closed-loop plant matrix have a number of sets of distinct and confluent eigenvalues. The results may be applied in a sequential manner for multi-input systems with repeated sets of confluent eigenvalues provided that the appropriate mode-controllability conditions are satisfied. A number of illustrative examples are included.

ISSN:0020-7179    

DOI:10.1080/00207177608932802

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A method is presented for determining the poles and zeros of the transfer function describing the attitude dynamics of a flexible spacecraft characterized by hybrid coordinate equations. It is shown that the problem reduces to that of finding the eigenvalues of matrices which are constructed by simple manipulations of the inertia and modal parameter matrices. Particular emphasis is put on the determination of the zeros, which depend also on the sensor and/or actuator location. The established procedure will be useful for numerical determination on the digital computer.

ISSN:0020-7179    

DOI:10.1080/00207177608932803

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A continued fraction (Pade) approximant is discussed, based on the ‘ amplitude-squared frequency response ’ of the original system. A study is also made of modifications to the Pade approximant, due to Maehly, based on Chebyshev rather than Maclaurin series. By introducing the concept of ‘ shifting ’ allied to the amplitude-squared technique, the reduced model can be made an approximant over a specified range of frequencies, including band-pass systems.

ISSN:0020-7179    

DOI:10.1080/00207177608932804

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

This survey is concerned with the definition and main properties of sets of specific values of complex frequency, called poles and zeros, which may be associated with a matrix-valued function of a complex frequency variable. The main emphasis is on the physical interpretation of invariant zeros in terms of the general zero-output behaviour of a linear dynamical system. A discussion is given of the relationship between this definition of a zero and the various other forms adopted in the current literature.

ISSN:0020-7179    

DOI:10.1080/00207177608932805

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Sensitivity to unknown varying parameters must be reduced as small as possible when control systems are designed. One approach to this problem is to make a zero-sensitive system. This paper considers the design of a zero-sensitive system by a state feedback and provides three conditions. The first is a condition under which the zero-sensitive system exists, the second is a condition of feedback coefficient, vector which makes the zero-sensitive system and the third is the stability condition.

ISSN:0020-7179    

DOI:10.1080/00207177608932806

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A representation for a general class of linear multivariable systems with feedback is introduced ; the structure of a multivariable system as an interconnection of scalar feedback systems is emphasized. The representation is used as a basis for obtaining new conditions which characterize the property of stability for multivariable systems. Since the resulting conditions determine rather explicit relationships between the variables defining the system they can be used in formulating design procedures.

ISSN:0020-7179    

DOI:10.1080/00207177608932807

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A representation for a general class of non-linear multivariable systems with feedback is introduced ; the structure of a multivariable system as an interconnection of scalar feedback systems is emphasized. The representation is used as a basis for obtaining new conditions which characterize the property of (zero input) stability for multi-variable systems. Since the resulting conditions determine rather explicit relationships between the variables defining the system they can be used in formulating design procedures.

ISSN:0020-7179    

DOI:10.1080/00207177608932808

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The concepts of matrix plane, step characteristic, zero coincidence point, etc., are defined and the main properties of the matrix plane are emphasized. A criterion permitting one to prove that no step characteristics exist in a given region of the matrix plane is stated. Thus, using some configuration changes of the step characteristics in the matrix plane, a lot of steady-state synthesis problems (substitution of the unstable limit cycle by a stable one, etc.) may be solved in a simple way. By expressing the matrix-plane components in terms of Chebyshev polynomials, a quasi-optimization procedure is suggested. The procedure permits one to determine the non-linearity vector (and consequently the non-linearity shape), which then enables a desired transient response to be obtained. It is shown that the restrictive conditions in the matrix plane, resulting from such a synthesis procedure, may be associated with a quadratic programming method which is used to compute optimized correction of non-linearities. Thus the matrix-plane concept leads to a general, computer-oriented approach which allows one to solve steady-state as well as transient behaviour problems for large classes of non-linear systems, including the noise perturbed ones.

ISSN:0020-7179    

DOI:10.1080/00207177608932809

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The degree of a polynomial system matrix is introduced and is shown to possess certain invariance properties. Its interpretation in terms of the initial conditions is given and its relationship with the previously defined complexity is noted.

ISSN:0020-7179    

DOI:10.1080/00207177608932810

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Two design techniques that ensure the stability of linear multivariable systems for high feedback gains are introduced. The first one copes with non-square systems and presents a squaring-down method which guarantees that all the root-loci of the system will stay at the left half-plane for high values of the feedback gain. The second technique achieves the same objective for the square case by means of linear state feedback or by its equivalent dynamic feedback scheme.

ISSN:0020-7179    

DOI:10.1080/00207177608932811

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor