摘要:

A proof of the global convergence of a single-input single-output stochastic self-tuning controller is given. The controller considered minimizes a quadratic cost measure of the Clarke-Gawthrop type and. employs a slightly modified recursive least-squares estimator. This Clarke-Gawthrop self-tuning controller is also extended into a class of multivariable systems. The global convergence of this multivariable self-tuning controller is established. It is shown that, with probability one, the system inputs and outputs are sample-mean-square bounded and the conditional mean square generalized tracking error achieves its global minimum possible value for linear feedback control, even non-minimum-phase systems, for appropriate cost functions.

ISSN:0020-7179    

DOI:10.1080/00207178808906188

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

A method to design a servomechanism by using sliding mode control is proposed. Sliding mode control is applied to an augmented system in which an integrator is added. The input-output relation of this servomechanism is described by a transfer function of which the poles can arbitrarily be assigned in a sliding mode. The results are further extended to realize a servomechanism of typel. The advantageous properties of sliding mode control to parameter variations and disturbances also hold in this servomechanism. Examples are given to illustrate the effectiveness of the proposed design method.

ISSN:0020-7179    

DOI:10.1080/00207178808906189

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

The practical implementation of a time optimal self-tuning controller using a hybrid configured microcomputer system is described. The control structure may be based on either state or output measurements from the controlled plant and is characterized by having embedded integral action. The effectiveness of the controller is assessed, both by off-line digital simulation and practical on-line studies, in relation to a range of processes including those exhibiting state delay and/or control input delays. The system hardware is centred on a 16-bit Sirius microcomputer interfaced to an analogue computer on which the plant is simulated. Application software is handled under the MS-DOS operating system using a mixture of high-level and low-level programming languages.

ISSN:0020-7179    

DOI:10.1080/00207178808906190

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

A new method is developed that allows one to determine the performance of a nonlinear system undergoing impulse-forcing analytically. The method is based on the Carleman linearization procedure, which approximates a non-linear system of equations and a non-linear performance-measure by a linear system of higher order. A general explicit formula is derived which allows the determination of the state equations and of the performance measure as a function of the forcing period. An example illustrates the new method.

ISSN:0020-7179    

DOI:10.1080/00207178808906191

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

This paper is concerned with the controllability and observability of discrete-time linear systems that possess randomly jumping parameters described by finite-stale Markov processes, and the relationship between these properties and the solution of the infinite time jump linear quadratic (JLQ) optimal control problem. The solution of the markovian JLQ problem with finite or infinite time horizons is known. Necessary and sufficient conditions for the existence of optimal constant control laws that lead to finite optimal expected costs as the time horizon becomes infinite are also known. Sufficient conditions for these steady-state control laws to stabilize the controlled system are also available (Chizeck et al. 1986). These conditions are not easy to test, however. Various definitions of controllability and observability for stochastic systems exist in the literature. These definitions are unfortunately not related to the steady-state JLQ control problem in a manner that is analogous to the role of deterministic controllability and observability in the linear quadratic optimal control problem. In this paper, new and refined definitions of the controllability and observability of jump linear systems are developed. These conditions have relatively simple algebraic tests. More importantly, these controllability and observability conditions can be used to determine the existence of finite steady-state JLQ solutions.

ISSN:0020-7179    

DOI:10.1080/00207178808906192

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

The main aim of this paper is to apply Evelyn Frank's algorithm for the continued fraction expansion of a rational transfer function into Cauer's first and second forms. The very essence of the algorithm itself is an inversion procedure for a continued fraction into a sequence of reduced-order rational transfer functions. This algorithmic scheme is well-suited for efficient computerization. However, it has (like its counterpart, the Routh algorithm) one drawback in that it involves divisions. Hence one might encounter rational quantities while working with integer coefficients. To overcome this, the present algorithm is carefully modified in order to compute the elements in a precise fraction-free manner. The time and Markov parameters of the system are also obtained by the orthogonality properties of the corresponding Cauer continued fractions. The specific methods are discussed in detail and illustrated by explicit numerical examples.

ISSN:0020-7179    

DOI:10.1080/00207178808906193

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

The paper is devoted to a study of stability questions for linear infinite-dimensional discrete-time and continuous-time systems. The concepts of power stability andlpInstability for a linear discrete-time systemxk+1 = Axk(wherexk ϵ X,Xis a Banach space,Ais linear and bounded) are introduced and studied. Relationships between these concepts and the inequality r(A) < 1, where r(A) denotes the spectral radius ofA, are also given. The discrete-time results are used for a simple derivation of some well-known properties of exponentially stable and Lp-stable linear continuous-time systems described by ẋ(t) = Ax(t) (Agenerates here a strongly continuous semigroup of linear and bounded operators onX). Some remarks on norms related to stable systems are also included.

ISSN:0020-7179    

DOI:10.1080/00207178808906194

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

We consider analytical control-affine non-linear continuous systems. By the introduction of a notation based on the tensor product, we can use the matrix calculus to solve the problems of model identification, by orthogonal functions, and the construction of a non-linear state-feedback for the optimal control problem.

ISSN:0020-7179    

DOI:10.1080/00207178808906195

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

A new approach for dealing with the structural properties of polynomial and rational matrices at infinity is presented. In this first part of the development, the attention is focused on polynomial matrices. Some fundamental notions and definitions such as the notion of homogeneous form for polynomial matrices are introduced. These enable us to define important concepts such as the cancellation at infinity, coprimeness at infinity, etc. for polynomial matrices in precisely the same way as for their finite counterparts. We demonstrate that our approach allows interesting generalizations of some important conventional concepts.

ISSN:0020-7179    

DOI:10.1080/00207178808906196

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor

摘要:

The development reported in Part 1 of this series is continued by presenting a unifying theory for rational matrices at infinity. The cornerstone for the development is again the homogeneous form for polynomial and rational matrices. It is shown that when a rational matrix is factorized in matrix fraction description (MFD), redundancy at infinity may be introduced. This redundancy can be characterized precisely as the common divisor of the numerator and the denominator matrices at infinity. Moreover, when the numerator and the denominator matrices are completely coprime, the determinantal degree of the denominator is the McMillan degree of the rational matrix.

ISSN:0020-7179    

DOI:10.1080/00207178808906197

出版商:Taylor & Francis Group    

年代:1988

数据来源: Taylor