On the structure of the control subsystem for stochastic distributed parameter systems
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- Aidarous S.E. (1978) On the structure of the control subsystem for stochastic distributed parameter systems. In: Ruberti A. (eds) Distributed Parameter Systems: Modelling and Identification. Lecture Notes in Control and Information Sciences, vol 1. Springer, Berlin, Heidelberg
The results on the optimal allocation of controllers for discrete-time systems have been extended to the continuous-time case. The synthesis of the feedback controllers has been carried out, while minimizing a quadratic error phis control energy measure of performance. Using the direct method, the orriginal problem has been reduced to that of solving a set of easily computable algebraic equations in the expanion coefficients of the control. The optimal locations of the controllers have been determined using a MGA. The gradients can be calculated analytically or numerically. To illustrate this point, the gradients have been analytically computed for the case of the allocation of one controller in a diffusion process.
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