Digital Control Systems: Design, Identification and by Bernd Jähne

By Bernd Jähne

The outstanding improvement of microprocessors and their large use up to speed platforms in all fields of program has led to very important adjustments within the layout of keep an eye on platforms. Their functionality and occasional price lead them to even more able, in lots of conditions, than analog controllers.

In order to take complete good thing about this capability, Digital regulate Systems demonstrates intimately tips to layout and enforce high-performance model-based controllers combining approach id and keep an eye on layout suggestions greatly proven in commercial milieux. The potent use of those innovations is illustrated within the context of assorted structures together with: d.c. automobiles, versatile transmissions, air warmers, distillation columns and hot-dip galvanizing. subject matters coated include:

• necessities of computer-based keep watch over platforms;

• controller layout equipment (robust pole placement, long-range-predictive regulate, kingdom area, electronic PID, etc.);

• approach identity thoughts;

• sensible facets of procedure identity and electronic keep watch over.

A variety of fresh methodological advancements on top of things layout and procedure identity, pushed via purposes, are provided, including:

• powerful electronic keep watch over layout utilizing sensitivity functionality shaping;

• plant identity in closed loop operation;

• relief of controller complexity.

The textual content of Digital keep an eye on Systems is more desirable, for functional and instructional reasons, by way of software program which illustrates a number of the thoughts and algorithms and offers a sense for the phenomena, mentioned. The MATLAB®/Scilab exercises used for this objective could be downloaded from the textbook’s site the place extra fabric for educating is obtainable (slide shows of the bankruptcy fabric, facts records for added laboratory classes and instance files).

Graduate scholars in classes on electronic keep an eye on will locate this article to be such a lot precious in studying the fundamental concepts of computer-based keep watch over whereas the wealth of extra fabric will make the tutor’s projects of educating and guidance faster and more uncomplicated. The booklet additionally offers training engineers wishing to augment their talents during this quarter with effective and co-ordinated tools for the layout and implementation of computer-based controllers.

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Additional resources for Digital Control Systems: Design, Identification and Implementation

Example text

3 Steady-state Error When carrying out the synthesis of a closed-loop system, our aim is to obtain an asymptotically stable system having a given response time, a specified overshoot and ensuring a zero steady-state error with respect to the reference signal. e. the steady-state gain of the closed-loop system between y(t) and r(t) must be equal to 1. 18. 18 the global transfer function of the feedforward channel HOL(s) is of the form H OL ( s ) = b0 + b1 s + ... + bm s m a 0 + a1 s + ... 10) The steady-state corresponds to a zero frequency (s = 0).

Int. J. of Adaptive Control and Signal Processing, vol. 9, no. 5, pp. 395-422 as well as in (Takahashi et al. 1970) and (Ogata 1990). 2 Computer Control Systems In this chapter we present the elements and the basic concepts of computercontrolled systems. The discretization and choice of sampling frequency will be first examined, followed by a study of discrete-time models in the time and frequency domains, discrete-time systems in closed loop and basic principles for designing digital controllers.

In order that the closedloop system be asymptotically stable, all the poles of S yp (s ) must lie in the halfplane Re s < 0 . If the plot of the open-loop transfer function HOL(s) passes through the point [1, j0], for a value s = jω, the denominator of the closed-loop system transfer function will be null at this frequency. The closed-loop system will not be asymptotically stable (more precisely it will have poles on the imaginary axis). It then follows a necessary condition (but not sufficient) for the closed-loop system to be asymptotically stable: the hodograph of H(s) must not pass through the point [1, j0].

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