摘要:

Parameter optimization methods have recently proved to be an efficient tool for the design of structurally constrained multivariate regulators, such as decentralized and PID. However, most of the underlying numerical algorithms require preliminarily selection of a regulator ensuring closed-loop asymptotic stability. Solving this problem is particularly intriguing whenever robust zero-error regulation must be guaranteed, since the regulator cannot, in this case, be asymptotically stable. In this paper, constructive sufficient conditions are given for the existence of structurally constrained high-gain regulators ensuring both closed-loop asymptotic stability and robust zero-error asymptotic regulation in the face of polynomial exogenous signals.

ISSN:0020-7179    

DOI:10.1080/00207178308933106

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

Tuning of a multivariable discrete time PI controller, which uses interactions of the plant is discussed. Interactions are detected by observing the plant response to step inputs. The plant is assumed to be unknown, linear, time invariant and stable. The tuning method presented is an extension of the corresponding continuous time method (Davison 1976, Penttinen and Koivo 1980)

ISSN:0020-7179    

DOI:10.1080/00207178308933107

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A method is presented for the real-time identification of parameters in distributed parameter systems governed by parabolic and hyperbolic partial differential equations. The method uses a finite clement technique to reduce the system's governing equation into a set of ordinary differential equations. A suitable performance index is then formed as a function of identification error. The Lyapunov design technique is used to develop proportional and integral type identification algorithms. The method can be used either on-line or off-line for identification purposes.

ISSN:0020-7179    

DOI:10.1080/00207178308933108

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

In this paper, the parameter identification algorithms developed in Part I are applied to a number of distributed systems. Sensitivity analyses are performed to determine how sensitive this identification method is to changes in the variables of the method, such as finite element length, derivative filter cut-off frequency and gain constants The effect of the measurement noiso is also investigated via computer simulation.

ISSN:0020-7179    

DOI:10.1080/00207178308933109

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

A simple procedure which employs only numerically stable steps is described in this paper, to obtain a minimal realization for a proper transfer function matrix. The resulting realization is in a companion form (or in the so-called Luenberger canonical form) and is obtained via the Hankel matrix. A comparison with existing methods is provided.

ISSN:0020-7179    

DOI:10.1080/00207178308933110

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The algebraic structure of the get of all proper rational vectors contained in a given rational vector space𝒯(s)is shown to be that of a noothorian ℝpr(s) -motiulo M*. ( Ropf;pr(a) is the ring ofproperrational functions.) The proper submodulesMtofM*form an ascending chain of submodules partially ordered by an invariant ofMtdefined as the valuation ats= ∞ ofMt, Tho various bases ofMtare examined and classified according to their property of ‘column reduceness at s = ∞’The concept of aprime column reduced at basis ofMtis introduced. It is shown that tho prime bases ofMtcan be further classified by their MacMillan degrees and the existence of minimal MacMillan degree bases forMtis established. A prime and minimal MacMillan degree basis ofMtextends Forney's concept of a minimal polynomial basis of∞ (s)for the RprMt-module The MacMillan degrees of the columns of such bases form a set of invariants Mtfor which are defined as the𝒯(s)generalized invariant dynamicol indices ofMtand a simple relation is established between (I) the generalized invariant dynamical indicesMt(ii) the orders of zeros at= ∞ sand (iii) the Forney invariant dynamical indices of Finally those results are specialized to the (maximal) noetherian ( Rpr(a)smodule M* it is shown that in this case the ' generalized invariant dynamical indices ' of M*. coincide with the invariant dynamical indices of Forney for𝒯(s)thus providing an alternative interpretation of the Forney ' invariant dynamical order ' of𝒯(s)as an absolute minimum of the MacMillan degree of any proper basis for𝒯(s)

ISSN:0020-7179    

DOI:10.1080/00207178308933111

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

The problem of the minimum variance stationary estimation of linear, time-invariant, continuous systems is considered in the case where the norm of tho measurement white noise intensity approaches zero. Solutions in closed form are obtained for the Kalman gain and the corresponding minimum error covariance matrix of the filtered estimate in terms of the noise intensity norm and the system transfer function matrix. Both uniform and non-uniform rank systems are considered and for the first time a solution is obtained for the case where the infinite zeros of the system tond to infinity with multiple rates.

ISSN:0020-7179    

DOI:10.1080/00207178308933112

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

As observer poles influence the dynamics of the feedback loop, observer reduction to the smallest order necessary is of practical interest. Using a unified approach to plant, disturbance and tracking process observation, several stages of obsorver-order reduction are discussed and a new, minimal order observer design is presented.

ISSN:0020-7179    

DOI:10.1080/00207178308933113

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

This paper presents simple methods for the design of digital two-term (PI, PD) and threo-term (PID) controllers for pole placement in discrete-time multivariable systems, where the controllers act directly on tho available system outputs. Conditions are first found for controllability of the augmented system incorporating integral and derivative state vectors, Then it is shown that for an m-inpuK-output system of ordern, the PID controller can in general place up to 3m+l∞1poles of the (n + 2l)the order closed-loop system arbitrarily. The PI and PD controllers can each place up to 2m+l∞1 poles of the (n + l)order closed-loop system. Due to integral action, the PID and PI controllers also ensure that in the steady state, the system outputs follow step references in the presence of inaccessible constant disturbances and in the face of system parameter variations. The advantages of including derivative action in the controllers aro discussed briefly. The PID, PI and PD controllers can be ' tuned ' to improve closed-loop transient responses. The design methods are programmed in a conversational mode on a PDP 11/10 digital computer with a graphic display for interactive computer-aided design studies. A PI controller for a two-shaft turbojet is designed using the computer program.

ISSN:0020-7179    

DOI:10.1080/00207178308933114

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor

摘要:

Full-order and reduced-order dead-beat observers are developed from the invariant observable canonical (IOC) form using eigenvalue assignment. Eigenvalue assignment in observer design for a general ease is then presented. Using the property of duality, the dead-beat controller is developed from the invariant controllable canonical (ICC) form by eigenvalue assignment. Some examples are given to illustrate the methods presented.

ISSN:0020-7179    

DOI:10.1080/00207178308933115

出版商:Taylor & Francis Group    

年代:1983

数据来源: Taylor