ROBUST DECENTRALIZED H∞ CONTROLLER DESIGN FOR POWER SYSTEMS: A MATRIX INEQUALITY APPROACH USING PARAMETER CONTINUATION METHOD

2006 ◽  
Vol 39 (7) ◽  
pp. 23-28
Author(s):  
Getachew K. Befekadu ◽  
I. Erlich
Keyword(s):  
Power Systems ◽  
Controller Design ◽  
Continuation Method ◽  
Matrix Inequality ◽  
Parameter Continuation Method ◽  
Parameter Continuation

Determination of catastrophic sets of a tubular chemical reactor by two-parameter continuation method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Marek Berezowski
Keyword(s):  
Continuation Method ◽  
Extreme Points ◽  
Chemical Reactor ◽  
Stationary States ◽  
Parameter Continuation Method ◽  
It Systems ◽  
Parametric Continuation ◽  
Parameter Continuation ◽  
Two Parameter

AbstractThe work relates to development and presentation a two-parameter continuation method for determining catastrophic sets of stationary states of a tubular chemical reactor with mass recycle. The catastrophic set is a set of extreme points occurring in the bifurcation diagrams of the reactor. There are many large IT systems that use the parametric continuation method. The most popular is AUTO’97. However, its use is sometimes not convenient. The method developed in this work allows to eliminate the necessity to use huge IT systems from the calculations. Unlike these systems, it can be inserted into the program as a short subroutine. In addition, this method eliminates time-consuming iterations from the calculations.

scholarly journals A NEW EXTENSION OF PARAMETER CONTINUATION METHOD FOR SOLVING OPERATOR EQUATIONS OF THE SECOND KIND

2021 ◽  
Vol 7 (21) ◽  
pp. 157-165
Author(s):  
Bình Ngô Thanh
Keyword(s):  
Continuation Method ◽  
Operator Equations ◽  
Lipschitz Continuous ◽  
Parameter Continuation Method ◽  
Parameter Continuation

In this paper, we propose an extension of the parameter continuation method for solving operator equations of the second kind. By splitting of the operator into a sum of two operators: one monotone, Lipschitz-continuous and one contractive, the applicability of the method is broader. The suitability of the proposed approach is presented through an example.

Design of Observer-Based Robust Power System Stabilizers

2016 ◽  
Vol 3 (1) ◽  
pp. 38
Author(s):  
Hisham M. Soliman ◽  
Mahmoud Soliman
Keyword(s):  
Power Systems ◽  
Power System ◽  
Controller Design ◽  
Damping Ratio ◽  
Iterative Solution ◽  
Linear Matrix ◽  
Diagonal Form ◽  
Matrix Inequality ◽  
Great Loss ◽  
Wide Range

<p>Power systems are subject to undesirable small oscillations that might grow to cause system shutdown and consequently great loss of national economy. A model to describe power system dynamics for different loads is derived in the norm-bounded form. The first controller design is based on the derived model to achieve  robust stability against load variation. The design is based on a new Bilinear matrix inequality (BMI) condition. The BMI optimization  is solved interatively in terms of Linear Matrix Inequality (LMI) framework. The condition contains a symmetric positive definite full matrix to be obtained, rather than the commonly used block diagonal form. The difficulty in finding a feasible solution is thus alleviated. The resulting LMI is of small size, easy to solve. The second PSS design shifts the closed loop poles in a desired region so as to achieve a favorite  settling time and damping ratio via a non-iterative solution to a set of LMIs.  Simulation results based on single-machine and multi-machine power system models verify the ability of the proposed PSS to satisfy control objectives for a wide range of load conditions.</p>

scholarly journals Application of parameter continuation method for analysis of vibroimpact 2-dof systems

2014 ◽  
Vol 5 (3(19)) ◽  
pp. 11
Author(s):  
Ольга Семеновна Погорелова ◽  
Татьяна Георгиевна Постникова ◽  
Валентина Владимировна Отрашевская
Keyword(s):  
Continuation Method ◽  
Parameter Continuation Method ◽  
Parameter Continuation

scholarly journals Landing Trajectory Design for UAV Considering Control Restrictions and Landing Speed

2021 ◽  
pp. 179-186
Author(s):  
Ngo Van Toan ◽  
Doan The Tuan ◽  
Pham Ngoc Van ◽  
Nguyen Thanh Tung ◽  
Nguyen Ngoc Dien
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problem ◽  
Continuation Method ◽  
Trajectory Design ◽  
Optimal Controls ◽  
Parameter Continuation Method ◽  
Parameter Continuation ◽  
Reference Trajectories ◽  
The Pontryagin Maximum Principle

The article presents a method for designing the trajectory of the UAV in space, taking into account the restriction on control. The chosen optimal controls are namely normal overload with restrictions, tangential overload with restrictions, and lateral overload. The Pontryagin maximum principle allows the transition of the optimal control problem to a boundary value problem. The parameter continuation method is applied to solve the boundary problem. The article results reveal reference trajectories in different cases of UAV landing. This result allows the design of reference trajectories for the UAV to attain the highest landing efficiency.

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