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Full-Text Articles in Engineering
Quasilinear Control: Multivariate Nonlinearities, Robustness And Numerical Properties, And Applications, Sarnaduti Brahma
Quasilinear Control: Multivariate Nonlinearities, Robustness And Numerical Properties, And Applications, Sarnaduti Brahma
Graduate College Dissertations and Theses
Quasilinear Control (QLC) is a theory with a set of tools used for the analysis and design of controllers for nonlinear feedback systems driven by stochastic inputs. It is based on the concept of Stochastic Linearization (SL), which is a method of linearizing a nonlinear function that, unlike traditional Jacobian linearization, uses statistical properties of the input to the nonlinearity to linearize it. Until now in the literature of QLC, SL was applied only to feedback systems with single-variable nonlinearities that appear only in actuators and/or sensors. In this dissertation, my recent contributions to the literature of QLC are summarized. …
Quasilinear Control Of Systems With Time-Delays And Nonlinear Actuators And Sensors, Wei-Ping Huang
Quasilinear Control Of Systems With Time-Delays And Nonlinear Actuators And Sensors, Wei-Ping Huang
Graduate College Dissertations and Theses
This thesis investigates Quasilinear Control (QLC) of time-delay systems with nonlinear actuators and sensors and analyzes the accuracy of stochastic linearization for these systems. QLC leverages the method of stochastic linearization to replace each nonlinearity with an equivalent gain, which is obtained by solving a transcendental equation. The idea of QLC is to stochastically linearize the system in order to analyze and design controllers using classical linear control theory. In this thesis, the existence of the equivalent gain for a closed-loop time-delay system is discussed. To compute the equivalent gain, two methods are explored. The first method uses an explicit …