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Description
| - V tomto příspěvku jsou uvedeny tři metody pro řešení stability nelineárních řídicích systémů: metoda linearizace, Ljapunovova přímá metoda a Popovovo kritérium. Protože řešení stability nelineárních řídicích systémů je obtížná úloha v inženýrské praxi, jsou tyto metody vytvořeny pro snadné využívání a jsou ztabelovány. Metoda linearizace: Tabulka zahrnuje rovnice nelineárních obvodů a jejich lineární aproximaci. Ljapunovova přímá metoda: Tabulka obsahuje Ljapunovovy funkce pro běžně užívané obvody druhého řádu. Popovovo kritérium: Tabulka nám dovoluje přímo určit stabilitu nelineárního obvodu z přenosové funkce G(s) a nelinearity, která leží pod přímkou o směrnici k. (cs)
- The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. But actual control systems usually contain some nonlinear elements. Three methods for stability analysis of nonlinear control systems will be introduced in this lecture: method of linearization, Lyapunov direct method and Popov criterion. Since stability analysis of nonlinear control systems is difficult task in engineering practice, these methods are made easier and tabulated. In the lecture we will show how the equations for nonlinear elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. However that linearization fails when Re si ˇÜ 0 for all i, with Re si = 0 for some i. We can construct the table includes the nonl
- The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. But actual control systems usually contain some nonlinear elements. Three methods for stability analysis of nonlinear control systems will be introduced in this lecture: method of linearization, Lyapunov direct method and Popov criterion. Since stability analysis of nonlinear control systems is difficult task in engineering practice, these methods are made easier and tabulated. In the lecture we will show how the equations for nonlinear elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. However that linearization fails when Re si ˇÜ 0 for all i, with Re si = 0 for some i. We can construct the table includes the nonl (en)
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Title
| - Stability Analysis of Nonlinear Control System
- Stability Analysis of Nonlinear Control System (en)
- Řešní stability nelineárního řídicího systému (cs)
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skos:prefLabel
| - Stability Analysis of Nonlinear Control System
- Stability Analysis of Nonlinear Control System (en)
- Řešní stability nelineárního řídicího systému (cs)
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skos:notation
| - RIV/00216305:26210/06:PU62466!RIV07-MSM-26210___
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| - RIV/00216305:26210/06:PU62466
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| - Nonlinear control system, equilibrium points, phase-plane trajectory, Lyapunov method, Popov criterion, modified frequency response, linearization, global asymptotic stability (GAS). (en)
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| - Equilibria,s.r.o. pro Technickou univerzitu v Košiciach
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