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Bipedal Stepping Controller Design Considering Model Uncertainty: A Data-Driven Perspective. [PDF]

open access: yesBiomimetics (Basel)
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Robust Laguerre‐based model predictive control for trajectory tracking of a mobile robot using an linear matrix inequality (LMI)‐based approach

Asian Journal of Control, 2023
AbstractThis paper studies the trajectory tracking of a constrained mobile robot under slippery conditions. The goal is to propose a controller for real‐time operations of time‐varying dynamics with insignificant execution time. Therefore, a Laguerre‐based model predictive control (LMPC) is designed, and robustness is provided with an linear matrix ...
Marzieh Jamalabadi   +3 more
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Linear matrix inequalities (LMIs) observer and controller design synthesis for parabolic PDE

European Journal of Control, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Yang, Stevan Dubljevic
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Motion planning and control of mobile robot using Linear Matrix Inequalities (LMIs)

2007 IEEE/RSJ International Conference on Intelligent Robots and Systems, 2007
A new motion planning algorithm is proposed for point and disc robots. In this approach, the problem is first formulated as a Binary Integer Programming with variables taken from Delaunay Triangulation of the 2D or n-D Free Configuration Space, and then transformed into LMIs and solved to obtain an optimal channel made of connected triangles.
Ellips Masehian, Golnaz Habibi
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On the stability of fuzzy chaotic systems based on linear matrix inequalities LMI

2016 5th International Conference on Systems and Control (ICSC), 2016
The principal aim of this work, is to ensure stability of continuous fuzzy chaotic systems. In fact, the examples chosen are represented via the Takagi-Sugeno fuzzy model. Then, the asymptotic stability is achieved throw the design of a fuzzy-model-based controllers, based on so-called «parallel distributed compensation» (PDC).
Rihab Gam, Anis Sakly
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Linear matrix inequalities (LMIs) based observer and controller design for second order parabolic PDE

2014 American Control Conference, 2014
In this work, a linear matrix inequality (LMI) methodology is used to design a controller to stabilize the second order parabolic PDE in the presence of input constraints. The novel feature of the proposed synthesis is to construct the LMI formulation within the modal space by using the spectrum analysis, which transfers the original infinite ...
Yu Yang, Stevan Dubljevic
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Robust Control of DC Converter in DC Microgrid Applications Using Linear Matrix Inequality (LMI)

2019 IEEE Conference on Power Electronics and Renewable Energy (CPERE), 2019
The aim of this paper is development of a distributed robust controller for distributed generators (DGs) interfaced to a DC microgrid through a boost converter. The suggested controller is robust static state feedback local controller based on $\mathbf{H}_{\mathbf{2}}/\mathbf{H}_{\infty}/\mathbf{pole}$ -placement/polytope technique.
Magdi A. Mosa   +4 more
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Robust interior noise control using system identification and linear matrix inequality (LMI) based control

Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104), 2002
Numerical investigations into robust noise control in a rotorcraft are presented based on system identification using experimental input-output data and linear matrix inequality (LMI) based control approach. A structural-acoustic system consisting of a rigid enclosure with one flexible wall is considered.
A.M. Sampeth, R.K. Prasanth, R.K. Mehra
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Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations

IEEE Transactions on Automatic Control, 2001
Since the mid 1990s, optimization over linear matrix inequalities (LMI), also called semidefinite programming in the mathematical programming terminology, has become a key ingredient for control systems analysis and design. Indeed, a wide range of control problems can be formulated in a unified fashion as LMI problems.
Apkarian, Pierre   +2 more
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Linear controllers for fuzzy systems subject to unknown parameters: stability analysis and design based on linear matrix inequality (LMI) approach

10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297), 2005
This paper presents a design approach of linear controllers for nonlinear systems with unknown parameters within known bounds. The plant is represented by a fuzzy model. Stability condition will be derived based on Lyapunov stability theory and formulated into an LMI (linear matrix inequality) problem.
Lam, H K, Leung, F H F, Tam, P K S
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