Robust H2 Output Feedback Controller Design for Damping Power System Oscillations

2017 ◽  
Vol 6 (10) ◽  
pp. 8
Author(s):  
Kho Hie Kwee ◽  
Hardiansyah .
Keyword(s):  
Power System ◽  
Output Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Parameter Uncertainties ◽  
Worst Case ◽  
Output Feedback Controller ◽  
Power System Oscillations

This paper addresses the design problem of robust H2 output feedback controller design for damping power system oscillations. Sufficient conditions for the existence of output feedback controllers with norm-bounded parameter uncertainties are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMI constraints is formulated to design the output feedback controller which minimizes an upper bound on the worst-case H2 norm for a range of admissible plant perturbations. The technique is illustrated with applications to the design of stabilizer for a single-machine infinite-bus (SMIB) power system. The LMI based control ensures adequate damping for widely varying system operating.

scholarly journals Output feedback controller design for polynomial linear parameter varying system via parameter-dependent Lyapunov functions

2017 ◽  
Vol 9 (2) ◽  
pp. 168781401769032 ◽  
Author(s):  
Xiaobao Han ◽  
Zhenbao Liu ◽  
Huacong Li ◽  
Xianwei Liu
Keyword(s):  
Output Feedback ◽  
Optimization Problem ◽  
Controller Design ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Output Feedback Controller ◽  
Parameter Varying ◽  
Parameter Dependent

This article presents a new output feedback controller design method for polynomial linear parameter varying model with bounded parameter variation rate. Based on parameter-dependent Lyapunov function, the polynomial linear parameter varying system controller design is formulated into an optimization problem constrained by parameterized linear matrix inequalities. To solve this problem, first, this optimization problem is equivalently transformed into a new form with elimination of coupling relationship between parameter-dependent Lyapunov function, controller, and object coefficient matrices. Then, the control solving problem was reduced to a normal convex optimization problem with linear matrix inequalities constraint on a newly constructed convex polyhedron. Moreover, a parameter scheduling output feedback controller was achieved on the operating condition, which satisfies robust performance and dynamic performances. Finally, the feasibility and validity of the controller analysis and synthesis method are verified by the numerical simulation.

scholarly journals Finite-Time Boundedness Control for Nonlinear Networked Systems with Randomly Occurring Multi-Distributed Delays and Missing Measurements

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Ling Hou ◽  
Dongyan Chen
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Networked Systems ◽  
Distributed Delays ◽  
Linear Matrix ◽  
Missing Measurements ◽  
Output Feedback Controller ◽  
Boundedness Problem

This paper investigates the stochastic finite-time H∞ boundedness problem for nonlinear discrete time networked systems with randomly occurring multi-distributed delays and missing measurements. The randomly occurring multi-distributed delays and missing measurements are described as Bernoulli distributed white noise sequence. The goal of this paper is to design a full-order output-feedback controller to guarantee that the corresponding closed-loop system is stochastic finite-time H∞ bounded and with desired H∞ performance. By constructing a new Lyapunov-Krasovskii functional, sufficient conditions for the existence of output-feedback are established. The desired full-order output-feedback controller is designed in terms of the solution to linear matrix inequalities (LMIs). Finally, a numerical example is provided to show the validity of the designed method.

scholarly journals ℒ2Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Hidetoshi Oya ◽  
Kojiro Hagino
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Uncertain Nonlinear Systems ◽  
Matrix Inequalities ◽  
Feedback Controllers ◽  
Variable Gain ◽  
Output Feedback Controller

We consider a design problem of a variable gain robust output feedback controller with guaranteedℒ2gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specifiedℒ2gain performance. In this paper, we show that sufficient conditions for the existence of the proposed variable gain robust output feedback controller with guaranteedℒ2gain performance are given in terms of linear matrix inequalities (LMIs). Finally, a simple numerical example is included.

scholarly journals PiecewiseH∞Static Output Feedback Controller Design for Nonlinear Systems Based on T-S Affine Fuzzy Models

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xingang Zhao
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Output Feedback Controller ◽  
Fuzzy Models ◽  
Complex Nonlinear Systems ◽  
Static Output

This paper is concerned with the problem of designingH∞controllers via static output feedback controller for a class of complex nonlinear systems, which is approximated by continuous-time affine fuzzy models. A decomposition method is presented to divide the output-space into different operating regions and interpolation regions. Based on this partition, a novel piecewise controller with affine terms via static output feedback is designed. By using a dilated linear matrix inequality (LMI) characterization, some nonconvex conditions are converted into convex ones to make the asymptotic stability andH∞performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.

Static Output Feedback Control for Electrohydraulic Active Suspensions via T–S Fuzzy Model Approach

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Haiping Du ◽  
Nong Zhang
Keyword(s):  
Output Feedback ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Feedback Controller ◽  
Equality Constraint ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Active Suspensions ◽  
Output Feedback Controller ◽  
Static Output

The paper presents a fuzzy static output feedback controller design approach for vehicle electrohydraulic active suspensions based on Takagi–Sugeno (T–S) fuzzy modeling technique. The T–S fuzzy model is first applied to represent the nonlinear dynamics of an electrohydraulic suspension. Then, the fuzzy static output feedback controller is designed for the obtained T–S fuzzy model to optimize the H∞ performance of ride comfort through the parallel distributed compensation scheme. The sufficient conditions for the existence of such a controller are derived in terms of linear matrix inequalities (LMIs) with an equality constraint. A computational algorithm is presented to convert the equality constraint into a LMI so that the controller gains can be obtained by solving a minimization problem with LMI constraints. To validate the effectiveness of the proposed approach, two kinds of static output feedback controllers, which use suspension deflection and sprung mass velocity, and suspension deflection only, respectively, as feedback signals, are designed. It is confirmed by the simulations that the designed controllers can achieve good suspension performance similar to that of the active suspension with optimal skyhook damper.

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