scholarly journals New iterative linear matrix inequality based procedure for H 2 and H ∞ state feedback control of continuous‐time polytopic systems

2020 ◽  
Vol 31 (1) ◽  
pp. 51-68
Author(s):  
Cheng Hu ◽  
Imad M. Jaimoukha
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Continuous Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Polytopic Systems ◽  
Iterative Linear Matrix Inequality

scholarly journals A Novel Iterative Linear Matrix Inequality Design Procedure for Passive Inter-Substructure Vibration Control

2020 ◽  
Vol 10 (17) ◽  
pp. 5859
Author(s):  
Josep Rubió-Massegú ◽  
Francisco Palacios-Quiñonero ◽  
Josep M. Rossell ◽  
Hamid Reza Karimi
Keyword(s):  
Linear Matrix Inequality ◽  
Vibration Control ◽  
State Feedback ◽  
Optimization Problems ◽  
Seismic Protection ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Static State ◽  
Fluid Viscous Dampers ◽  
Iterative Linear Matrix Inequality

In vibration control of compound structures, inter-substructure damper (ISSD) systems exploit the out-of-phase response of different substructures to dissipate the kinetic vibrational energy by means of inter-substructure damping links. For seismic protection of multistory buildings, distributed sets of interstory fluid viscous dampers (FVDs) are ISSD systems of particular interest. The connections between distributed FVD systems and decentralized static output-feedback control allow using advanced controller-design methodologies to obtain passive ISSD systems with high-performance characteristics. A major issue of that approach is the computational difficulties associated to the numerical solution of optimization problems with structured bilinear matrix inequality constraints. In this work, we present a novel iterative linear matrix inequality procedure that can be applied to obtain enhanced suboptimal solutions for that kind of optimization problems. To demonstrate the effectiveness of the proposed methodology, we design a system of supplementary interstory FVDs for the seismic protection of a five-story building by synthesizing a decentralized static velocity-feedback H∞ controller. In the performance assessment, we compare the frequency-domain and time-domain responses of the designed FVD system with the behavior of the optimal static state-feedback H∞ controller. The obtained results indicate that the proposed approach allows designing passive ISSD systems that are capable to match the level of performance attained by optimal state-feedback active controllers.

Parameterized LMIs for robust H2 and H∞ state feedback control of continuous-time polytopic systems

2017 ◽  
Vol 28 (3) ◽  
pp. 940-952 ◽  
Author(s):  
L.A. Rodrigues ◽  
R.C.L.F. Oliveira ◽  
J.F. Camino
Keyword(s):  
Feedback Control ◽  
Continuous Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Polytopic Systems

Switched state-feedback control for continuous time-varying polytopic systems

2011 ◽  
Vol 84 (9) ◽  
pp. 1500-1508 ◽  
Author(s):  
Grace S. Deaecto ◽  
José C. Geromel ◽  
Jamal Daafouz
Keyword(s):  
Feedback Control ◽  
Continuous Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Time Varying ◽  
Polytopic Systems ◽  
Switched State Feedback

scholarly journals Dynamic Logarithmic Vector Quantizer Design for Stochastic Continuous Time Linear Systems With State Feedback Control

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 46440-46447
Author(s):  
Jiashuo Wang ◽  
Zhiyu Xi ◽  
Liang Sun
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Continuous Time ◽  
State Feedback ◽  
State Feedback Control ◽  
Vector Quantizer ◽  
Time Linear
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