Showing papers by "Petar V. Kokotovic published in 1971"
TL;DR: Using the Monod model of bacterial growth, the pollutant removal problem was formulated as an optimum state regulator problem as mentioned in this paper, which was solved by a direct method based on an application of Green's theorem.
Abstract: Using the Monod model of bacterial growth the pollutant removal problem is formulated as an optimum state regulator problem. This nonlinear problem is solved by a direct method based on an application of Green's theorem.
52 citations
TL;DR: In this article, the authors examined the relationship between the results obtained when the dimensionality of a regulator problem is reduced in the statement of the problem and when this reduction is made in the Riccati equation for the nonreduced problem.
Abstract: This correspondence examines the relationship between the results obtained when the dimensionality of a regulator problem is reduced in the statement of the problem and when this reduction is made in the Riccati equation for the nonreduced problem.
39 citations
TL;DR: In this article, a coupling perturbation method is developed for near optimum design of non-linear systems, where a scalar parameter ϵ is introduced in an nth-order system such that for ϵ ϵ = the system decouples into two (or more) independent low-order sub-systems.
Abstract: A coupling perturbation method is developed for near optimum design of non-linear systems. A scalar parameter ϵ is introduced in an nth-order system such that for ϵ ϵ = the system decouples into two (or more) independent low-order sub-systems. By the same procedure ϵ is introduced into the performance index. The near optimal control u¯ is defined as a truncated power series in ϵ. It is shown that each term of the above series can be sequentially obtained by separate sub-system calculations. Thus a considerable saving in computational effort is achieved Two examples are presented and the results compared with those obtained by conventional iterative methods. Applicability of the method to problems which cannot be solved by conventional methods is also discussed.
14 citations
TL;DR: In this article, a method for designing control systems with random parameters and random initial state is presented, which consists of an open-loop term, which is the optimal control for the parameters and initial state equal to their mean values, plus a feedback correction term.
Abstract: In this paper a method for designing control systems with random parameters and random initial state is presented. The observed signal available for feedback is a function of the state and system parameters corrupted by additive white Gaussian noise with zero mean. The proposed control consists of an open-loop term, which is the optimal control for the parameters and initial state equal to their mean values, plus a feedback correction term. The feedback correction term is a linear function of the estimated values of the deviation in initial state and system parameters from their mean values. The control tends to the optimally sensitive control when the measurement noise tends to zero, and the feedback correction tends to zero when the measurement noise tends to infinity. A numerical experiment with a simplified model for nuclear reactor control shows that in spite of fairly large measurement noise, significant improvement in performance can be achieved using the proposed control compared to open-loop control.
3 citations
TL;DR: A new approach to the optimum design of cold rolling mills is presented, which takes advantage of slow variation of the winding reel radius and transforms an initially non linear system into a parametric family of linear systems.
1 citations