Robust Observer-Based Control of Systems With State Perturbations Via LMI Approach

Lien, Chang‐Hua

doi:10.1109/tac.2004.832660

Cited by 214 publications

(138 citation statements)

References 10 publications

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“…The uncertainties have been widely used in many practical systems. The matrices 1 ( ) F t and 2 ( ) F t contain uncertain parameters, and constant matrices i D and i E ( 1, 2 i ) denote how the uncertain parameters 1 ( ) F t and 2 ( ) F t affect the system (1) and (2) [11,12].…”

Section: Remarkmentioning

confidence: 99%

Robust guaranteed cost control of linear systems with norm bounded uncertainties and external disturbance

Zhang

Liu

Wang

et al. 2010

The 2010 IEEE International Conference on Information and Automation

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-This paper proposes a robust guaranteed cost control method for a linear system with norm bounded time varying parametric uncertainties and external disturbance. Using the Lyapunov stability theory and linear matrix inequality method, a robust guaranteed cost control law is derived to guarantee that the closed loop system is not only stable, but also has adequately quadratic and H performance levels for all the admissible uncertainties and external disturbance. A convex optimization problem is formulated to obtain the optimal state feedback controller which can minimize the quadratic and H performance levels. Based on the model of the robot prototype for inspecting power transmission lines, simulation results verify the effectiveness of the proposed method.Index Terms -Robust guaranteed cost control; uncertainties; linear matrix inequality; power transmission line inspection robot.

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Section: Remarkmentioning

confidence: 99%

Robust guaranteed cost control of linear systems with norm bounded uncertainties and external disturbance

Zhang

Liu

Wang

et al. 2010

The 2010 IEEE International Conference on Information and Automation

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“…The observer-based control will be used to reconstruct the state of a dynamic system. The observer was developed firstly for deterministic continuoustime linear time-invariant system and has been extended by several researchers to timevaring, discrete and stochastic systems [1], [2], [7], [12], [13], [14], [15], [16], [17], [18] and [19]. The simplicity of its design and its resolution of the difficulty imposed by missing measurements make the observer an attractive general design component.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, many work has been devoted to design the observer or observer-based control of uncertain system [3], [8], [10], [11] and [12]. In [2] and [7] the lyapunov stability theory is used to design the state observer for linear time varying or nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

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An observer-based control of linear systems with uncertain parameters

Rachik¹,

Lhous²

2016

Archives of Control Sciences

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“…Employing a dynamic model representation of the plant, it is possible to implement techniques used in robust control, such as linear matrix inequalities (LMI) [1,2] or sliding-mode control (SMC) [3] to estimate the values of the states.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear distributed parameter observer design for fuel cell systems

Luna¹,

Husar²,

Serra³

2015

International Journal of Hydrogen Energy

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This paper presents the development of a nonlinear state observer to estimate the different gas species concentration profiles in a Proton Exchange Membrane Fuel Cell energy system. The selection of the estimated states follows functionality and fuel cell performance criteria. The implementation is based on the finite element discretisation of a fuel cell distributed parameter model. Forward and backwards discretisation of the partial derivative equations is performed to take advantage of the boundary conditions of the problem and also to apply lumped systems theory in the synthesis procedure of the observer. A second-order sliding-mode super-twisting corrective input action is implemented to reduce the estimation error to zero in a finite amount of time. The sliding-mode control approach grants a suitable corrective action without incrementing the model-dependency of the observer. Simulation results are presented to show the performance of the proposed observer of the fuel cell internal states and to extract conclusions for future research work.

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Robust Observer-Based Control of Systems With State Perturbations Via LMI Approach

Cited by 214 publications

References 10 publications

Robust guaranteed cost control of linear systems with norm bounded uncertainties and external disturbance

Robust guaranteed cost control of linear systems with norm bounded uncertainties and external disturbance

An observer-based control of linear systems with uncertain parameters

Nonlinear distributed parameter observer design for fuel cell systems

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