Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Nonlinear_control> ?p ?o }
- Nonlinear_control abstract "Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both. Control theory is an interdisciplinary branch of engineering and mathematics that is concerned with the behavior of dynamical systems with inputs, and how to modify the output by changes in the input using feedback. The system to be controlled is called the "plant". In order to make the output of a system follow a desired reference signal a controller is designed which compares the output of the plant to the desired output, and provides feedback to the plant to modify the output to bring it closer to the desired output. Control theory is divided into two branches:Linear control theory applies to systems made of linear devices; which means they obey the superposition principle; the output of the device is proportional to its input. Systems with this property are governed by linear differential equations. A major subclass is systems which in addition have parameters which do not change with time, called linear time invariant (LTI) systems. These systems are amenable to powerful frequency domain mathematical techniques of great generality, such as the Laplace transform, Fourier transform, and Z transform, root-locus, Bode plot, and Nyquist stability criterion. These lead to a description of the system using terms like bandwidth, frequency response, eigenvalues, gain, resonant frequencies, poles, and zeros, which give solutions for system response and design techniques to most problems of interest. Nonlinear control theory covers a wider class of systems that do not obey the superposition principle. It applies to more real-world systems, because all real control systems are nonlinear. These systems are often governed by nonlinear differential equations. The mathematical techniques which have been developed to handle them are more rigorous and much less general, often applying only to narrow categories of systems. These include limit cycle theory, Poincaré maps, Liapunov stability theory, and describing functions. If only solutions near a stable point are of interest, nonlinear systems can often be linearized by approximating them by a linear system obtained by expanding the nonlinear solution in a series, and then linear techniques can be used. Nonlinear systems are often analyzed using numerical methods on computers, for example by simulating their operation using a simulation language. Even if the plant is linear, a nonlinear controller can often have attractive features such as simpler implementation, faster speed, more accuracy, or reduced control energy, which justify the more difficult design procedure.An example of a nonlinear control system is a thermostat-controlled heating system. A building heating system such as a furnace has a nonlinear response to changes in temperature; it is either "on" or "off", it does not have the fine control in response to temperature differences that a proportional (linear) device would have. Therefore the furnace is off until the temperature falls below the "turn on" setpoint of the thermostat, when it turns on. Due to the heat added by the furnace, the temperature increases until it reaches the "turn off" setpoint of the thermostat, which turns the furnace off, and the cycle repeats. This cycling of the temperature about the desired temperature is called a limit cycle, and is characteristic of nonlinear control systems.".
- Nonlinear_control thumbnail Feedback_loop_with_descriptions.svg?width=300.
- Nonlinear_control wikiPageExternalLink NonlinearControlSystems.html.
- Nonlinear_control wikiPageExternalLink 2011-DAN-Absolute-stability-Aizerman-problem-Kalman-conjecture.pdf.
- Nonlinear_control wikiPageExternalLink 2011-IFAC-Hidden-oscillations-control-systems-Aizerman-problem-Kalman.pdf.
- Nonlinear_control wikiPageExternalLink 2011-TiSU-Hidden-oscillations-attractors-Aizerman-Kalman-conjectures.pdf.
- Nonlinear_control wikiPageID "3359147".
- Nonlinear_control wikiPageLength "11914".
- Nonlinear_control wikiPageOutDegree "77".
- Nonlinear_control wikiPageRevisionID "623856900".
- Nonlinear_control wikiPageWikiLink A._I._Lure.
- Nonlinear_control wikiPageWikiLink Aizermans_conjecture.
- Nonlinear_control wikiPageWikiLink Aleksandr_Lyapunov.
- Nonlinear_control wikiPageWikiLink Backstepping.
- Nonlinear_control wikiPageWikiLink Bandwidth_(signal_processing).
- Nonlinear_control wikiPageWikiLink Bifurcation_theory.
- Nonlinear_control wikiPageWikiLink Bode_plot.
- Nonlinear_control wikiPageWikiLink Category:Nonlinear_control.
- Nonlinear_control wikiPageWikiLink Center_manifold.
- Nonlinear_control wikiPageWikiLink Center_manifold_theorem.
- Nonlinear_control wikiPageWikiLink Chaos_theory.
- Nonlinear_control wikiPageWikiLink Circle_criterion.
- Nonlinear_control wikiPageWikiLink Computer.
- Nonlinear_control wikiPageWikiLink Control_theory.
- Nonlinear_control wikiPageWikiLink Controller_(control_theory).
- Nonlinear_control wikiPageWikiLink Deep_result.
- Nonlinear_control wikiPageWikiLink Describing_function.
- Nonlinear_control wikiPageWikiLink Differential_equation.
- Nonlinear_control wikiPageWikiLink Dynamical_system.
- Nonlinear_control wikiPageWikiLink Eigenvalue.
- Nonlinear_control wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Nonlinear_control wikiPageWikiLink Feedback.
- Nonlinear_control wikiPageWikiLink Feedback_linearization.
- Nonlinear_control wikiPageWikiLink Feedback_passivation.
- Nonlinear_control wikiPageWikiLink Fourier_transform.
- Nonlinear_control wikiPageWikiLink Frequency_domain.
- Nonlinear_control wikiPageWikiLink Frequency_response.
- Nonlinear_control wikiPageWikiLink Frobenius_theorem_(differential_topology).
- Nonlinear_control wikiPageWikiLink Gain_(electronics).
- Nonlinear_control wikiPageWikiLink Gain_scheduling.
- Nonlinear_control wikiPageWikiLink Globally_asymptotically_stable.
- Nonlinear_control wikiPageWikiLink Hidden_oscillation.
- Nonlinear_control wikiPageWikiLink Infinite_series.
- Nonlinear_control wikiPageWikiLink Involution_(mathematics).
- Nonlinear_control wikiPageWikiLink Kalmans_conjecture.
- Nonlinear_control wikiPageWikiLink LTI_system_theory.
- Nonlinear_control wikiPageWikiLink Laplace_transform.
- Nonlinear_control wikiPageWikiLink Liapunov_function.
- Nonlinear_control wikiPageWikiLink Limit_cycle.
- Nonlinear_control wikiPageWikiLink Linear_equation.
- Nonlinear_control wikiPageWikiLink Linear_function.
- Nonlinear_control wikiPageWikiLink Linear_time_invariant.
- Nonlinear_control wikiPageWikiLink Linearization.
- Nonlinear_control wikiPageWikiLink List_of_mathematical_jargon.
- Nonlinear_control wikiPageWikiLink Lyapunov_function.
- Nonlinear_control wikiPageWikiLink Lyapunov_redesign.
- Nonlinear_control wikiPageWikiLink Lyapunov_stability.
- Nonlinear_control wikiPageWikiLink Mathematics.
- Nonlinear_control wikiPageWikiLink Nonlinear_damping.
- Nonlinear_control wikiPageWikiLink Nonlinear_differential_equation.
- Nonlinear_control wikiPageWikiLink Nonlinear_system.
- Nonlinear_control wikiPageWikiLink Numerical_analysis.
- Nonlinear_control wikiPageWikiLink Numerical_method.
- Nonlinear_control wikiPageWikiLink Nyquist_stability_criterion.
- Nonlinear_control wikiPageWikiLink Passivity_analysis.
- Nonlinear_control wikiPageWikiLink Phase-locked_loop.
- Nonlinear_control wikiPageWikiLink Phase_plane.
- Nonlinear_control wikiPageWikiLink Phase_plane_method.
- Nonlinear_control wikiPageWikiLink Poincaré_map.
- Nonlinear_control wikiPageWikiLink Pole_(complex_analysis).
- Nonlinear_control wikiPageWikiLink Resonance.
- Nonlinear_control wikiPageWikiLink Resonant_frequency.
- Nonlinear_control wikiPageWikiLink Root-locus.
- Nonlinear_control wikiPageWikiLink Root_locus.
- Nonlinear_control wikiPageWikiLink Routh_Hurwitz_stability_criterion.
- Nonlinear_control wikiPageWikiLink Routh–Hurwitz_stability_criterion.
- Nonlinear_control wikiPageWikiLink Series_(mathematics).
- Nonlinear_control wikiPageWikiLink Simulation.
- Nonlinear_control wikiPageWikiLink Simulation_language.
- Nonlinear_control wikiPageWikiLink Singular_perturbation.
- Nonlinear_control wikiPageWikiLink Sliding_mode_control.
- Nonlinear_control wikiPageWikiLink Small-gain_theorem.
- Nonlinear_control wikiPageWikiLink Superposition_principle.
- Nonlinear_control wikiPageWikiLink Thermostat.
- Nonlinear_control wikiPageWikiLink Time-variant_system.
- Nonlinear_control wikiPageWikiLink Vasile_M._Popov.
- Nonlinear_control wikiPageWikiLink Vasile_M_Popov.
- Nonlinear_control wikiPageWikiLink Z-transform.
- Nonlinear_control wikiPageWikiLink Z_transform.
- Nonlinear_control wikiPageWikiLink Zero_(complex_analysis).
- Nonlinear_control wikiPageWikiLink File:Feedback_loop_with_descriptions.svg.
- Nonlinear_control wikiPageWikiLink File:Lure_Problem_Block.jpg.
- Nonlinear_control wikiPageWikiLinkText "Nonlinear control".
- Nonlinear_control wikiPageWikiLinkText "Nonlinear".
- Nonlinear_control wikiPageWikiLinkText "control of nonlinear systems".
- Nonlinear_control wikiPageWikiLinkText "non-linear components".
- Nonlinear_control wikiPageWikiLinkText "nonlinear control".
- Nonlinear_control wikiPageWikiLinkText "nonlinear".
- Nonlinear_control wikiPageWikiLinkText "sufficient criteria on absolute stability".
- Nonlinear_control hasPhotoCollection Nonlinear_control.