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A novel method for the determination of controller parameters in a broad class of linear control systems affected by time-delays is presented.
The proposed and utilized synthesis consists of two steps – the former one is a determination of controller parameters area, which ensures the robustly stable control loop and which is based on the computing/plotting the stability boundary locus while the latter one lies in the final choice of the controller itself relying on algebraic techniques.
In the second step the determination of controller parameters is posed as a constrained multiobjective optimization problem.
This approach is constructive: a procedure for the determination of controller parameterizations is given on the basis of the solution of the LMI synthesis conditions.
The main aim of the paper is recalling a new sufficient condition for determination of controller parameter space for DIS and presenting the application of methodology for a physical experimental case study.
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In this paper, we present a model reference approach to the determination of safe controller changes on the basis of approximate closed loop models of the plant and robust stability results in the ν-gap.
At present, the conventional PID controller is widely applied in the HTRS system for its practicability and robustness, and the primary problem with respect to this control law is how to optimally tune the parameters, i.e. the determination of PID controller gains for satisfactory performance.
This class of fixed structure controller synthesis problems can be reduced to the determination of a real controller parameter vector (or simply a controller), K, so that a family of complex polynomials, linear in the parameters of the controllers, is Hurwitz.
The stabilization of this class of systems requires the determination of a real controller parameter vector (or simply a controller), K, so that a family of real polynomials, affine in the parameters of the controllers, is Schur.
The unique feature of the HAFC is that no mathematical models of the plant are required and the proposed controller is able to adaptively estimate the bound functions on-line, which are required for the determination of the supervisory controller.
The multi-objective genetic algorithm is used to mechanize the optimal determination of fuzzy logic controller parameters based on an efficient cost function that comprises undershoot, overshoot, rise time, settling time, steady state error and stability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com