Process and apparatus for determining optimum values for manipul

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364149, 364157, 395 21, 395906, G05B 1304, G06F 1518

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057515719

DESCRIPTION:

BRIEF SUMMARY
BACKGROUND OF THE INVENTION

The invention relates to a process for determining optimum values for manipulated variables of a technical system (.phi.). In this context, such a technical system can be of any desired, for example electrical, mechanical or chemical nature and many others. An example of such a system (.phi.) is an internal combustion engine for motor vehicles, for example a gasoline engine which is to be optimized with respect to some of its system properties y.sub.1, . . . ,y.sub.N such as for example the emission of NOX (nitrogen oxides), the emission of CO (carbon monoxide), the consumption of fuel or the engine power etc. Here, these variables y.sub.1, . . . ,y.sub.N are weighted to different degrees in a global, possibly nonlinear target function z=g(y.sub.1, . . . ,y.sub.N) which is to be optimized in its entirety.
The system properties y.sub.1, . . . ,y.sub.N usually depend on the operating conditions of the system. The latter are characterized by operational variables b.sub.1, . . . ,b.sub.B (for example rotational speed, torque, etc. in the case of a gasoline engine) and by manipulated variables s.sub.1, . . . ,s.sub.S (for example ignition angle, injection time etc. in the case of a gasoline engine). The operational variables are prescribed here by wishes of a user or other circumstances. In the case of a gasoline engine the driver prescribes a rotational speed using the gas pedal, for example, in order to travel at a specific speed with a selected transmission ratio. The manipulated variables s.sub.1, . . . ,s.sub.S must be set (that is to say in this example the engine must be controlled) in such a way that the desired or prescribed operational variables are also actually set.
There is generally no clear solution to this problem. As is generally known, there are sporty and economical motor vehicle drivers. Therefore, depending on the setting of the manipulated variables s.sub.1, . . . ,s.sub.S, different values for the system properties y.sub.1, . . . ,y.sub.N (for example fuel consumption, emission of pollutants etc.) and thus different values for the target function z=g(y.sub.1, . . . ,y.sub.N) are obtained with the same operational variables b.sub.1, . . . ,b.sub.B. Therefore, it is desirable to set the manipulated variables in such a way that the prescribed target function is optimized.
In the least commercially interesting technical systems, the relationships y.sub.i =.phi..sub.i (s.sub.1, . . . ,s.sub.S,b.sub.1, . . . ,b.sub.B) between the manipulated variables and operational variables on the one hand and the system properties on the other are known quantitatively in closed form. For this reason, for optimization one is generally obliged to have recourse to experiments with the technical system itself. Such experiments are frequently too expensive or are impossible for reasons of safety.


SUMMARY OF THE INVENTION

The invention is based on the object of disclosing a process for determining optimum values for manipulated variables of a technical system in the aforesaid context, which process can be carried out without experimenting with the technical system and without a system model in closed form having to be available.
According to the invention, this object is achieved by means of a process for determining optimum values for manipulated variables of a technical system. In this process, a set of functions f.sub.i (w.sub.1, . . . ,w.sub.W,x.sub.1, . . . ,x.sub.S+B) is used whose parameters w.sub.1, . . . ,w.sub.W are set in such a way that the functions f.sub.i model the system in such a way that the functions f.sub.i approximate the system functions .phi.i as functions of their variables x.sub.1, . . . ,x.sub.S+B in terms of an interval of prescribed magnitude and the manipulated variables s.sub.1, . . . ,s.sub.S are determined by optimizing the function g(f.sub.1 (w.sub.1, . . . ,w.sub.W,s.sub.1, . . . ,s.sub.S,b.sub.1, . . . ,b.sub.B), . . . ,f.sub.N (w.sub.1, . . . ,w.sub.W, s.sub.1, . . . ,s.sub.S,b.sub.1, . . . ,b.sub.B)) at fixed values of w.sub.1, . . . ,w.sub.W an

REFERENCES:
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patent: 5159660 (1992-10-01), Lu et al.
patent: 5353207 (1994-10-01), Keeler et al.
patent: 5414619 (1995-05-01), Katayama et al.
patent: 5428559 (1995-06-01), Kano
patent: 5513098 (1996-04-01), Spall et al.
Advances in Instrumentation, vol. 41, No. 2, (1986), "A Modular Self-Tuning Control System", J.D. Lane, pp. 639-651.
Proceedings of the 1992 IEEE International Symposium on Intelligent Control, Aug. 1992, "Least Mean Square Learning in Associative Memory Networks", M. Brown and C.J. Harris, pp. 531-536.
Automatisierungstechnik at 37 (1989) 2, Modellgestuetzte Regelungskonzepte: Ein Vergleich, (Model-based control schemes: a comparison) P. Ronge, pp. 74-84.

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