As a result of the enormous impact of microprocessors, electronic engineers, with sometimes only a cursory background in control theory, are being involved in direct-digital-control (d.d.c.) system design. There appea...
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As a result of the enormous impact of microprocessors, electronic engineers, with sometimes only a cursory background in control theory, are being involved in direct-digital-control (d.d.c.) system design. There appears to be a real need for an easily understood and simply implemented comprehensive design technique for single-input d.d.c. systems. This is the objective of this largely tutorial paper, which assembles for the first time information that is widely scattered in the control-engineering literature. The proposed design technique provides, first of all, a simple calculation that ensures that the data sampling rate is consistent with the control system's accuracy specification or the fatigue life of its actuators. Pulsed transfer-function design for a plant controller is based on two simple rules and a few standard frequency-response curves, which are easily computed once and for all time. Structural resonances are eliminated by digital notch filters, the pole-zero locations of which are directly related to the frequency and bandwidth of an oscillatory mode; this is exactly as with analogue networks. In addition a computationally simple formula gives an upper bound on the amplitude of the control error (deviation) component due to multiplicative rounding effects in the digital computer; this thereby enables the selection of a suitable machine wordlength or machine. A distinct advantage of the proposed design technique is that its implementation does not necessarily involve a complex computer-aided-design facility. This aspect is confirmed by a class-2 design example in the text. Furthermore, the frequency-domain design curves are a versatile design tool in that they can also be used to design conventional 3-term digital controllers, or to translate a working analogue controller into its digital counterpart.
A generalised control algorithm is developed for application to industrial processes. The algorithm can cater for multivariable interactions, time delays and environmental disturbances. It is proposed as a fundamental...
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A generalised control algorithm is developed for application to industrial processes. The algorithm can cater for multivariable interactions, time delays and environmental disturbances. It is proposed as a fundamental building block for the development of hierarchical control schemes. The algorithm is a feature of a c.a.d. facility for the modelling, design and implementation of hierarchical computer controls. The facility incorporates interactive graphics as a major design aid. Application to a multiple-effect evaporator is described. It is demonstrated that the techniques have realistic potential for useful practical application.
The paper describes a computer program for the systematic numerical predetermination of a performance indexJ=∫∞0(xtQx+u2)dtsuch that the synthesised feedback controller that minimisesJresults in ...
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The paper describes a computer program for the systematic numerical predetermination of a performance indexJ=∫∞0(xtQx+u2)dtsuch that the synthesised feedback controller that minimisesJresults in a controlled system with satisfactory eigenvalues that all lie to the left of the set {s|s=α, α≤0} in the complex plane. The computer algorithm, which is based on the derivatives of the eigenvalues with respect to the coefficients ofQ, may be used in isolation or can be included in an overall synthesis procedure. Examples illustrating the method are included.
A method of computing frequency response from a state-space system model is given. Two applications of the method are discussed. The first shows its use in a situation where the system transfer function is more diffic...
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A method of computing frequency response from a state-space system model is given. Two applications of the method are discussed. The first shows its use in a situation where the system transfer function is more difficult to obtain than are the state equations, and the second illustrates the computation process in a system with pure time delays.
A bang-bang control scheme to improve system recovery after large disturbances is derived from a linear-system model. Consideration is given to the practical constraints imposed on the state and control variables of a...
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A bang-bang control scheme to improve system recovery after large disturbances is derived from a linear-system model. Consideration is given to the practical constraints imposed on the state and control variables of a typical power plant. The implementation of the method is carried out on a laboratory micromachine working online with a digital PDP 8 computer. Results are favourably compared to those shown by other studies performed by digital simulation despite the simlicity of the model used to obtain the basic control law.
The paper describes a technique for the optimisation of the parameter settings of the excitation controller of a synchronous machine which is suitable for on-site use. The optimisation method is based on an integral s...
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The paper describes a technique for the optimisation of the parameter settings of the excitation controller of a synchronous machine which is suitable for on-site use. The optimisation method is based on an integral squarederror criterion, and involves the use of parameter sensitivity functions to estimate the parameter changes needed to alter system responses to approach some predetermined or desirable form. The computation of the parameter sensitivity functions is achieved by a direct method, which does not demand explicit identification of the controlled system and which yields the sensitivity functions of all output variables to all adjustable parameters from the results of a single-step test. The technique may be implemented using a small digital computer. The paper includes the results of simulation studies on unsynchronised and on loaded generators, together with results of micromachine experiments.
The commercial incentives to obtain improved control of the steelmaking process in the electric-arc furnace are presented, and the progress made in applying computer control is reviewed. The development of a mathemati...
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The commercial incentives to obtain improved control of the steelmaking process in the electric-arc furnace are presented, and the progress made in applying computer control is reviewed. The development of a mathematical model of the refining process is shown to be restricted by the complex metallurgical nature of the process and the deficiency of existing plant instrumentation. The ability of a mathematical model, evolved from theoretical considerations, to simulate, accurately, a limited class of operating practice is demonstrated. A compromise between complexity and implied certainty of the model is obtained by a reduction in the dimension of the model state vector, and by the introduction of a white-Gaussian-noise process to account for the effect of the ignored states and the hypotheses on which the model is developed. Techniques developed recently for obtaining noisecorrupted measurements of the carbon content and temperature of the process are investigated, and the statistics of the uncertainty of these measurements is determined. The implementation of the extended Kalman filter for online state estimation is considered, and the operation of the filter under varied conditions of uncertainty is discussed. A technique for controlling divergence of the filter algorithm is presented, and the results of simulations indicate that estimates of the states can be obtained to the accuracy required for the design of a refining control strategy.
Functional iteration has been very widely used for the solution of nonlinear system equations. Although sufficient conditions have been given for the iteration sequence to converge, a method to determine the precise n...
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Functional iteration has been very widely used for the solution of nonlinear system equations. Although sufficient conditions have been given for the iteration sequence to converge, a method to determine the precise number of iterations that are required is not to be found in the literature. The availability of such information would enhance, considerably, the utility of the method. Using the concept of ‘stop-growing terms’, an algorithm is now proposed which enables one to determine precisely the number of iterations that are required for the solution to converge to a predetermined degree of approximation.
The requirement for a rig that can be used to support the teaching of automatic control to postgraduate students is discussed. The design and construction of the rig, which represents a paper-machine head box, is outl...
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The requirement for a rig that can be used to support the teaching of automatic control to postgraduate students is discussed. The design and construction of the rig, which represents a paper-machine head box, is outlined. The application of the equipment to the subjects taught on an ***. course, to student project work, and to postgraduate research work is described.
This paper describes a project to investigate the feasibility of using a small digital computer to automatically control the manufacture of multilayer thin film optical interference devices. The manufacturing process ...
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This paper describes a project to investigate the feasibility of using a small digital computer to automatically control the manufacture of multilayer thin film optical interference devices. The manufacturing process and the computer control systems are described in detail and the results from a particular case study are presented. These results relate to the manufacture of a 5-layer antireflectance coating. The computer is shown to be able to control the process with precision and to have the potential for manufacturing devices toa consistent high quality.
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