Design and Implementation of LMI-Based H2 Control for Vertical Nonlinear Coupled-Tank System

This paper presents the mathematical design and implementation of a robust H_2 output feedback controller for the vertical nonlinear coupled-tank system. Considering the growth of the complicated chemical processes in industries in the last decades, the necessity for the controllers with high robustness and proficiency is demanded. Therefore, to overcome some deficiencies of classical controllers such as Proportional Integral (PI), the robust H_2 output feedback controller is proposed to control the liquid level of the coupled tank system benchmark. Because of the nonlinearity of the system and the interactions between two tanks, the behavior of the controller in terms of the performance and disturbance rejection is on the main scene. The Linear Matrix Inequalities (LMI) is used to derive the design procedure. The effectiveness of the proposed approach in the setpoint tracking is highlighted in comparison with the PI plus feedforward controller and the acceptable results are achieved.

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Observer-based controller design of time-delay systems with an interval time-varying delay

International Journal of Applied Mathematics and Computer Science ◽

10.2478/v10006-012-0068-8 ◽

2012 ◽

Vol 22 (4) ◽

pp. 921-927 ◽

Cited By ~ 11

Author(s):

Mai Viet Thuan ◽

Vu Ngoc Phat ◽

Hieu Trinh

Keyword(s):

Output Feedback ◽

Design Procedure ◽

Feedback Controller ◽

Delay Systems ◽

Linear Matrix ◽

Time Varying ◽

Interval Time ◽

Time Varying Delay ◽

Output Feedback Controller ◽

Varying Delay

This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed α-convergence rate. The design of an observerbased output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.

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Robust H2 Output Feedback Controller Design for Damping Power System Oscillations

International Journal of Emerging Research in Management and Technology ◽

10.23956/ijermt.v6i10.62 ◽

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.

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Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach

Mathematical Problems in Engineering ◽

10.1155/2017/2808094 ◽

2017 ◽

Vol 2017 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Cong-Trang Nguyen ◽

Yao-Wen Tsai

Keyword(s):

Asymptotic Stability ◽

Output Feedback ◽

Finite Time ◽

Sliding Mode ◽

Feedback Controller ◽

Delay Systems ◽

Linear Matrix ◽

Invariance Property ◽

Time Varying ◽

Output Feedback Controller

This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay. The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only. A necessary and sufficient condition guaranteeing the existence of sliding surface is given. A novel lemma is established to deal with the control design problem for a wider class of time-delay systems. A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems. A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique. Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated. In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linear matrix inequalities (LMIs) and given desirable sliding mode dynamics. Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.

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

Advances in Mechanical Engineering ◽

10.1177/1687814017690327 ◽

2017 ◽

Vol 9 (2) ◽

pp. 168781401769032 ◽

Cited By ~ 2

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.

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Design of Output Feedback Controller for Switched Fuzzy Systems with Time-Delay

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.635-637.1443 ◽

2014 ◽

Vol 635-637 ◽

pp. 1443-1446

Author(s):

Hong Yang ◽

Huan Huan Lü ◽

Le Zhang

Keyword(s):

Time Delay ◽

Output Feedback ◽

Fuzzy Systems ◽

Closed Loop ◽

Feedback Controller ◽

Linear Matrix ◽

Sufficient Condition ◽

Closed Loop System ◽

Output Feedback Controller ◽

And Control

This paper investigates the problems of stabilization and control for time-delay switched fuzzy systems using output feedback controller. Based on the linear matrix inequality (LMI) technique, multiple Lyapunov method is used to obtain a sufficient condition for the existence of the controller for the output feedback. Then an algorithm is constructed to transform the sufficient condition into a LMI form, thus obtaining a method for designing the controller. The designed controller guarantees the closed-loop system to be asympototically stable. A numerical example is given to show the effectiveness of our method.

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DesigningH∞/GH2static-output feedback controller for vehicle suspensions using linear matrix inequalities and genetic algorithms

Vehicle System Dynamics ◽

10.1080/00423110701407013 ◽

2008 ◽

Vol 46 (5) ◽

pp. 385-412 ◽

Cited By ~ 21

Author(s):

H. Du ◽

N. Zhang

Keyword(s):

Genetic Algorithms ◽

Linear Matrix Inequalities ◽

Output Feedback ◽

Feedback Controller ◽

Linear Matrix ◽

Matrix Inequalities ◽

Vehicle Suspensions ◽

Output Feedback Controller

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Sliding mode output feedback controller design using linear matrix inequalities with application to aircraft systems

2008 International Workshop on Variable Structure Systems ◽

10.1109/vss.2008.4570712 ◽

2008 ◽

Cited By ~ 2

Author(s):

Jose Manuel Andrade-Da Silva ◽

Sarah K. Spurgeon ◽

Christopher Edwards

Keyword(s):

Linear Matrix Inequalities ◽

Output Feedback ◽

Controller Design ◽

Sliding Mode ◽

Feedback Controller ◽

Linear Matrix ◽

Matrix Inequalities ◽

Output Feedback Controller ◽

Aircraft Systems

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A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

International Journal of Applied Mathematics and Computer Science ◽

10.2478/amcs-2014-0024 ◽

2014 ◽

Vol 24 (2) ◽

pp. 325-334 ◽

Cited By ~ 10

Author(s):

Lan Zhou ◽

Jinhua She ◽

Shaowu Zhou

Keyword(s):

Control System ◽

Output Feedback ◽

Repetitive Control ◽

Feedback Controller ◽

Linear Matrix ◽

Control Input ◽

Dynamic Output Feedback ◽

Output Feedback Controller ◽

Dynamic Output ◽

Dynamic Output Feedback Controller

Abstract This paper is concerned with the problem of designing a robust modiﬁed repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

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

Mathematical Problems in Engineering ◽

10.1155/2018/5109646 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

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.

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