摘要:

Procedures are worked out in this paper for non-interactive compensation of linear multivariable systems employing the matrix block diagram technique. The three forms of representation, namely, the structural matrix method, the plant transfer matrix (P-form) method and the modifiedV-form method, are considered. The need for a unique procedural sequence for the first two forms of representation in determining the various non-interactive compensators is emphasized. The results are compared with the non-interaction compensators obtained by other procedures developed earlier.

ISSN:0020-7179    

DOI:10.1080/00207177208932206

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The ‘switching-type’ double-valued non-linearities are defined and general relations concerning their modified characteristics and their dual-input describing functions (DIDF) for two sinusoidal inputs with unrelated frequencies are derived. An illustrative example is also presented.

ISSN:0020-7179    

DOI:10.1080/00207177208932207

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A method is presented for reducing the sensitivity of time-varying and non-linear control systems. The procedure is an extension of a method proposed recently for controllable linear time-invariant systems.

ISSN:0020-7179    

DOI:10.1080/00207177208932208

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Recent work on complex number plane mapping as an aid to muitivariable control system design is adapted to deal with discrete systems in particular those of the second order. It is shown how all the known results from continuous theory are immediately available for the discrete case.

ISSN:0020-7179    

DOI:10.1080/00207177208932209

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A dynamical system is modelled by the non-linear equation:

ISSN:0020-7179    

DOI:10.1080/00207177208932210

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

This paper presents a state-space approach to the multivariable ‘type one’ servo-mechanism problem. Necessary and sufficient conditions for the controllability of such systems are derived and applied to the observability of the (dual) state reconstructor problem for a system with an unknown constant input. The paper also presents a simple systematic design algorithm which provides type one servomechanism performance to command inputs, together with pre-specified closed-loop pole locations. Examples are given to illustrate the utility of the design procedure.

ISSN:0020-7179    

DOI:10.1080/00207177208932211

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

Liapunov functions to determine the stability of non-linear autonomous difference equations can be developed through the use of auxiliary exact difference equations. For this purpose definitions are introduced for the gradient of an implicit function of a discrete variable, a principal sum, a definite sum and an exact difference equation, nnd a theorem for exactness of a difference form is proved. Examples illustrate the procedure.

ISSN:0020-7179    

DOI:10.1080/00207177208932212

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

A simplified method of solving the matrix Riccati equation is discussed and illustrated in the context of optimal control theory. The method utilizes a preliminary solution with no requirement on boundary condition or sign definiteness. Utilizing this preliminary solution the desired solution is obtained by solving a linear problem of the same dimension as the state vector. One advantage of the method is that the boundary conditions for the terminal control problem which force some state variables to zero at the terminal time are easily implemented.

ISSN:0020-7179    

DOI:10.1080/00207177208932213

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

摘要:

The method of Lyapimov is commonly used to establish regions of attraction for non-linear systems. In some cases, by using the form of the system equations, it is possible to extend the region beyond that, given by the Lyapunov function. Willems has illustrated this technique for systems with a single non-linearity. Here it is shown that a similar approach is possible in some cases when considering systems with multiple non-linearities.

ISSN:0020-7179    

DOI:10.1080/00207177208932214

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177208932215

出版商:Taylor & Francis Group    

年代:1972

数据来源: Taylor