F. BUKHARI

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(c) (d)

Figure 2. (a) Perturbation of inventory level; (b) Perturbation of actual production Rate; (c) Perturbation of deterioration

rate; (d) Perturbation of desired production Rate.

5. Conclusions

In this paper we have discussed the problem of adaptive

control of a production inventory system with unknown

deterioration rate. The desired production rate and up-

dating rule of deterioration rate are derived from the

condition of asymptotic stability about its steady state

using Liapunov technique. The demand rate is consid-

ered as linear function of both inventory level and actual

production rate. Numerical examples are presented to

show the system behavior for a set of parameter values.

It was found that the actual production rate exponentially

tends to its goal value while the inventory level, deterio-

ration rate, and desired production rate are damping os-

cillate about their goal values.

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