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Nonlinear Control of Complex Systems by Utilization of Evolutionary Approaches
Minář, Petr ; Ošmera, Pavel (referee) ; Oplatková,, Zuzana Komínková (referee) ; Matoušek, Radomil (advisor)
Control theory of complex systems by utilization of artificial intelligent algorithms is relatively new science field and it can be used in many areas of technical practise. Best known algorithms to solved similar tasks are genetic algorithm, differential evolution, HC12 Nelder-Mead method, fuzzy logic and grammatical evolution. Complex solution is presented at selected examples from mathematical nonlinear systems to examples of anthems design and stabilization of deterministic chaos. The goal of this thesis is present examples of implementation and utilization of artificial algorithms by multi-objective optimization. To achieve optimal results is used designed software solution by multi-platform application, which used Matlab and Java interfaces. The software solution integrate every algorithms of this thesis to complex solution and it extends possible application of those approaches to real systems and practical world.
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Stability and control of dynamical systems used in modeling an airplane motion
Novák, Jiří ; Šremr, Jiří (referee) ; Nechvátal, Luděk (advisor)
A modern aircraft (or another machine moving in the air) usually does not rely on its structural stability only. In fact, the motion is conventionally stabilized using a loop feedback control. A dynamical system, which models the aircraft's position and orientation in time, reacts on the state variables, hence, the control signal is dynamically changed. This bachelor's thesis deals with deriving the equations of motion for small perturbations of the state variables as well as with stability and control of such a system of equations. In addition, comparison of both a nonlinear and a linearized model is a part of this work. The programming language Python is used for testing on several examples of a concrete aircraft.
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Stability and control of dynamical systems used in modeling an airplane motion
Novák, Jiří ; Šremr, Jiří (referee) ; Nechvátal, Luděk (advisor)
A modern aircraft (or another machine moving in the air) usually does not rely on its structural stability only. In fact, the motion is conventionally stabilized using a loop feedback control. A dynamical system, which models the aircraft's position and orientation in time, reacts on the state variables, hence, the control signal is dynamically changed. This bachelor's thesis deals with deriving the equations of motion for small perturbations of the state variables as well as with stability and control of such a system of equations. In addition, comparison of both a nonlinear and a linearized model is a part of this work. The programming language Python is used for testing on several examples of a concrete aircraft.
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Nonlinear Control of Complex Systems by Utilization of Evolutionary Approaches
Minář, Petr ; Ošmera, Pavel (referee) ; Oplatková,, Zuzana Komínková (referee) ; Matoušek, Radomil (advisor)
Control theory of complex systems by utilization of artificial intelligent algorithms is relatively new science field and it can be used in many areas of technical practise. Best known algorithms to solved similar tasks are genetic algorithm, differential evolution, HC12 Nelder-Mead method, fuzzy logic and grammatical evolution. Complex solution is presented at selected examples from mathematical nonlinear systems to examples of anthems design and stabilization of deterministic chaos. The goal of this thesis is present examples of implementation and utilization of artificial algorithms by multi-objective optimization. To achieve optimal results is used designed software solution by multi-platform application, which used Matlab and Java interfaces. The software solution integrate every algorithms of this thesis to complex solution and it extends possible application of those approaches to real systems and practical world.
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Nonlinear Control of Complex Systems by utilization of Evolutionary Approaches
Minář, Petr ; Matoušek, Radomil (advisor)
Control theory of complex systems by utilization of artificial intelligent algorithms is relatively new science field and it can be used in many areas of technical practise. Best known algorithms to solved similar tasks are genetic algorithm, differential evolution, HC12 Nelder-Mead method, fuzzy logic and grammatical evolution. Complex solution is presented at selected examples from mathematical nonlinear systems to examples of anthems design and stabilization of deterministic chaos. The goal of this thesis is present examples of implementation and utilization of artificial algorithms by multi-objective optimization. To achieve optimal results is used designed software solution by multi-platform application, which used Matlab and Java interfaces. The software solution integrate every algorithms of this thesis to complex solution and it extends possible application of those approaches to real systems and practical world.
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Modules over non-commutative rings for an analysis of control systems
Xia, X. ; Márquez-Martínez, L. ; Zagalak, Petr ; Moog, C.
The paper introduces some concepts of the theory of non-commutative rings into the theory of nonlinear systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic functions is studied and some properties of modules over such rings are presented. This approach is then generalized to a special class of nonlinear systems with delays that are called Generalized Roesser Systems. Finally, the theory is used to define and characterize.
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