Branislav Rehák

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A method for parameter estimation of two time-scale model of photosynthesis and photoinhibition is presented. The model structure coincides with the earlier mechanistic concept of photosynthetic factory by Eilers and Peeters, however, our formulation respects the decomposition of the phase-space into the fast phase xA, and the slow one, xB. The experimental(More)
The topic of the paper is a procedure for observer design for polynomial systems. The design is based on sum-of-squares through construction of suitable Lyapunov-Krasovskii functionals. As the resulting problem is not convex, an iterative formula is proposed to obtain the solution. Estimates of observation error are derived, the usage of the method is(More)
A numerical method to solve the so-called regulator equation is presented here. This equation consists of partial differential equations combined with algebraic ones and arises when solving the output-regulation problem. Solving the regulator equation is becoming difficult especially for the nonminimum phase systems where reducing variables against(More)
This paper presents iterative methods for computing center and center-stable manifolds. The methods are based on the contraction mapping theorem and compute flows on the invariant manifolds. An important application includes the design of optimal output regulators. It will be shown that the center manifold algorithm solves the regulator equation and the(More)
We describe an algorithm for fish farm profit optimization which is part of a complex automation system used in intensive fish culture. The fish farm optimal production problem is solved on a finite receding control horizon using the model-based predictive controller. The problem itself is a linear dynamic control problem subject to non-convex constraints(More)