Wyniki wyszukiwania - BazTech

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Design of robust multi-loop PI controller for improved disturbance rejection with constraint on minimum singular value

Arun Pathiran, Muniraj Rathinam, Boselin Prabhu S.R., Jarin T., Willjuice Iruthayarajan M.

Archives of Control Sciences

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2023

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Vol. 33, No. 4

839--859

EN

Disturbance rejection performance optimization with constraints on robustness for a multivariable process is commonly encountered in industrial control applications. This paper presents the tuning of a multi-loop Proportional Integral (PI) controller method to enhance the performance of load disturbance rejection using evolutionary optimization. The proposed design methodology is formulated to minimize the load disturbance rejection response and the input control energy under the constraints of robust stability. The minimum singular value of multiplicative uncertainty is considered a multi-loop system robust stability indicator. Optimization is performed to achieve the same, or higher level than the most-explored Direct Synthesis (DS) based multi-loop PI controller, which is derived from a conventional criterion. Simulation analysis clearly proved that the proposed multi-loop PI controller tuning method gives better disturbance rejection, and either, the same or a higher level of robust stability when compared to the DS-based multi-loop PI controller.

2

Bounded linear stability region in Linear Matrix Inequalities for a multivariable object

Rybczak M.

Zeszyty Naukowe / Akademia Morska w Szczecinie

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2014

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nr 39 (111)

133--139

EN

This paper is devoted to the concept of stability in linear matrix inequalities. Especially to the analysis of a bounded stability region for a multivariable 3DOF system. The study is focused on two different, user defined, bounded LMI regions where poles are calculated with the use on an algorithm and placed in the left half plane of complex variable plane s. It is shown that in the studied case the shape of the region is irrelevant compared to the location of region bounds. And more specifically only the active bounds where the poles are located on it’s limits are significant to controller operation.

3

Linear Matrix Inequalities in multivariable ship’s steering

Rybczak M.

Polish Maritime Research

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2012

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S 1

37-44

EN

This paper explains the basics of the Linear Matrix Inequalities (LMI), with examples of simulations and calculations created in Matlab/Simulink programming environment where the controlled plant is the “Blue Lady” ship model. First chapter of this paper gives a short overview of publications describing the use of Linear Matrix Inequalities method. Second chapter contains basic definitions and equations for the LMI method. Chapter three presents the use of LMI method for ship control by describing controller synthesis for the “Blue Lady”. Chapter four compares the operation of two controllers, the first one consisting of three independent proper adjusted PID controllers and the second one being a multivariable LMI controller. Finally conclusions from the above comparison are drawn.

4

Multivariable robust control applied to steeting of three ship's velocities

Gierusz W.

Archives of Control Sciences

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2003

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Vol. 13, no. 4

459-492

EN

The main goal of this task was the synthesis of the regulator for precise steering of the real, training ship. One of possible ways to build a proper ship's controller can be the robust control theory approach. First part of the paper describes successively: the shiphandling training boat "Blue Lady", nonlinear simulation model of the vessel and the MIMO state ship model, identified for robust regulator synthesis after experiments on the presented simulation model. Second part of the paper presents: the way to calculate the multivariable controller via D-K iteration, final regulator and exemplary results of the real-time steering for verification of obtained closed-loop system.