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Optimally sensitive and adaptive control systems

✍ Scribed by S. D. Weinrich; Leon Lapidus


Publisher
American Institute of Chemical Engineers
Year
1971
Tongue
English
Weight
991 KB
Volume
17
Category
Article
ISSN
0001-1541

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✦ Synopsis


The sensitivity of optimally controlled systems to parameter variations is examined in this paper. Two general approaches toward compensating for these variations are employed. The first, for open-loop systems, involves augmenting the performance index with sensitivity terms and minimizing this combined index. The second approach. a n adaptive-type controller, involves estimating those parameter variations that have caused an observed state deviation, and adjusting the control policy in response to this measurement. Numerical exomples applied to continuous, discrete-time, and discrete-staged systems demonstrate the effectiveness of these approaches in adapting the control policy to parameter variations.

follows the OAC much closer over the parameter range than do the control variables of Figure 8. This occurs because at the optimum I , = 0 and thus, near this optimum, the performance index is relatively insensitive to control.


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