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Matlab implementation of direct and indirect shooting methods to solve an optimal control problem with state constraints

100%

Karbowski A.

Journal of Automation Mobile Robotics and Intelligent Systems

2021

tom Vol. 15, No. 1

43--50

The paper presents a general procedure to solve nume‐ rically optimal control problems with state constraints. It is used in the case, when the simple time discretization of the state equations and expressing the optimal cont‐ rol problem as a nonlinear mathematical programming problem is too coarse. It is based on using in turn two multiple shooting BVP approaches: direct and indirect. The paper is supplementary to the earlier author’s paper on direct and indirect shooting methods, presenting the theory underlying both approaches. The same example is considered here and brought to an end, that is two full listings of two MATLAB codes are shown.

Comparative Study of AMPL, Pyomo and JuMP Optimization Modeling Languages on a Flood Control Problem Example

63%

Karbowski A. , Wyskiel K.

Pomiary Automatyka Robotyka

2021

tom R. 25, nr 4

19--24

The purpose of this work is a comparative study of three languages (environments) of optimization modeling: AMPL, Pyomo and JuMP. The comparison will be based on three implementations of an optimal discrete-time flood control problem formulated as a nonlinear programming problem. The codes for individual models and differences between them will be presented and discussed. Various aspects will be taken into account, e.g. simplicity and intuitiveness of implementation.

Celem pracy jest badanie porównawcze trzech języków (środowisk) modelowania optymalizacyjnego: AMPL, Pyomo i JuMP. Porównanie jest oparte na trzech implementacjach zadania optymalnego sterowania falą powodziową z czasem dyskretnym, sformułowanego jako zadanie programowania nieliniowego. Przedstawione i omówione zostaną kody poszczególnych modeli oraz różnice między nimi. Uwzględnione zostaną różne aspekty, m.in. prostota i intuicyjność implementacji.

Real-time hierarchical predictive risk assessment at the national level: Mutually agreed predicted service disruption profiles

63%

Malinowski K. , Karbowski A.

International Journal of Applied Mathematics and Computer Science

2020

tom Vol. 30, no. 3

597--609

We present a real-time hierarchical approach to an on-line risk assessment at the national level taking into account both local risk analyses performed by key service operators and relevant interdependencies between those services. For this purpose we define mutually agreed predicted service disruption profiles and then propose a coordination mechanism to align those profiles. A simple, four-entity example is provided to illustrate the coordination.

Critical Infrastructure Risk Assessment Using Markov Chain Model

51%

Karbowski A. , Malinowski K. , Szwaczyk S. , Jaskóła P.

Journal of Telecommunications and Information Technology

2019

tom nr 2

15--22

The paper presents application of the Markov chain model to assess the risk aﬀecting critical national infrastructure. A method for relating diﬀerent service states to transition probabilities is shown. Then, a real-life example is thoroughly analyzed. Finally, results of a numerical test concerning this problem are provided.