By Keith Godfrey, Peter Jones

ISBN-10: 3540165118

ISBN-13: 9783540165118

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Addison- Wesley, 1980). L. T. Nagle, "Digital Control System Analysis and Design". (Prentice-Hall, 1984). R. Leigh, "Applied Digital Control". (Prentice-Hall, 1984). P. Norton, "An Introduction to Identification". (Academic Press, 1986). Revision Lecture R3 MATRIX TECHNIQUES Dr. II. T. G. Hughes 1• INTRODUCTION This section outlines some basic concepts and techniques of matrix analysis. Some of these will be employed in later lectures. The intention here is to provide a guide to further study for those who are unfamiliar v1ith the subject, and to introduce the notation which will be employed subsequently in the vacation school.

12) follows. Example Estimation of Unit Pulse Response using Cross-correlation Consider the technique of estimating the weighting sequence (unit pulse response) of a linear system when its response to an input sequence {ut} is corrupted by a random noise sequence {nt}, as in Fig. 5. t Figure 5 This is a typical example of a problem in system modelling or identification, and may be approached statistically by considering the cross-correlation of the measured output with delayed versions of the input~ From Eq.

Gary Reid, "Linear System Fundamentals". (McGraw Hill, 1983). D. R. Cooper, "Continuous and Discrete Signal and System Analysis" (Holt, Rinehart and Winston, 1974). T. Kai lath, "Linear Systems". (Prentice Hall, 1980). On Frequency Domain Concepts: See the notes for Lecture LB. S. G. Piersol, "Random Data: Analysis and Measurement Procedures". (Wiley, 1971 ). S. G. Piersol, "Engineering Applications of Correlation and Spectral Analysis". (Wiley, 1980). F. D. Powell, "Digital Control of Dynamic Systems".

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Signal Processing for Control by Keith Godfrey, Peter Jones


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