Finite-frequency H∞ control design for T–S fuzzy systems with state/input delay and physical constraints

2019 ◽  
Vol 85 ◽  
pp. 607-618
Author(s):  
Ali Kazemy ◽  
Hoda Moodi
Keyword(s):  
Fuzzy Systems ◽  
Control Design ◽  
Input Delay ◽  
Finite Frequency ◽  
Physical Constraints

Static output-feedback H∞ control design for a 5 degree-of-freedom isolator under physical constraints and restricted frequency domain

2017 ◽  
Vol 232 (2) ◽  
pp. 195-208 ◽  
Author(s):  
Ali Siami ◽  
Hamid Reza Karimi ◽  
Alfredo Cigada
Keyword(s):  
Frequency Domain ◽  
Frequency Band ◽  
Output Feedback ◽  
Control Design ◽  
Optimization Method ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Finite Frequency ◽  
Physical Constraints ◽  
Static Output

In this article, a static output-feedback controller with finite frequency range is developed for a specific isolator based on the linear matrix inequality optimization method. In particular, both infinite and finite frequency domain output-feedback H∞ control methods are proposed to design active control strategies. In addition, different constraints in time domain are imposed on the structure under consideration. Then, the control problem under physical constraints is formulated in terms of linear matrix inequalities. Considering the specific frequency band in this application, the obtained results illustrate the efficiency of proposed approach for static output-feedback H∞ control design in the finite frequency band compared with the infinite one.

Guaranteed cost control of T-S fuzzy systems with input delay

2007 ◽  
Vol 18 (12) ◽  
pp. 1230-1256 ◽  
Author(s):  
Bing Chen ◽  
Chong Lin ◽  
Xiaoping Liu ◽  
Shaocheng Tong
Keyword(s):  
Fuzzy Systems ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Input Delay ◽  
Guaranteed Cost

Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
H. Ghorbel ◽  
A. El Hajjaji ◽  
M. Souissi ◽  
M. Chaabane
Keyword(s):  
Tracking Control ◽  
Fuzzy Systems ◽  
Design Procedure ◽  
Control Design ◽  
Linear Matrix ◽  
Robust Tracking Control ◽  
Fuzzy Observer ◽  
Tank System ◽  
System States ◽  
Takagi Sugeno

In this paper, a robust fuzzy observer-based tracking controller for continuous-time nonlinear systems presented by Takagi–Sugeno (TS) models with unmeasurable premise variables, is synthesized. Using the H∞ norm and Lyapunov approach, the control design for TS fuzzy systems with both unmeasurable premises and system states is developed to guarantee tracking performance of closed loop systems. Sufficient relaxed conditions for synthesis of the fuzzy observer and the fuzzy control are driven in terms of linear matrix inequalities (LMIs) constraints. The proposed method allows simplifying the design procedure and gives the observer and controller gains in only one step. Numerical simulation on a two tank system is provided to illustrate the tracking control design procedure and to confirm the efficiency of the proposed method.

scholarly journals Finite frequency H∞control design for nonlinear systems

2021 ◽  
Vol 12 (1) ◽  
pp. 567
Author(s):  
Zineb Lahlou ◽  
Abderrahim EL-Amrani ◽  
Ismail Boumhidi
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Control Design ◽  
Loop Model ◽  
Finite Frequency

The work deals finite frequency H<sub>∞</sub> control design for continuous time nonlinear systems, we provide sufficient conditions, ensuring that the closed-loop model is stable. Simulations will be gifted to show level of attenuation that a H<sub>∞</sub> lower can be by our method obtained developed where further comparison.

scholarly journals New approach to finite frequency Filter Design for two-dimensional T-S fuzzy systems

2021 ◽  
Vol 297 ◽  
pp. 01036
Author(s):  
Ben Meziane Khaddouj ◽  
Abderrahim El-Amrani ◽  
Ismail Boumhidi
Keyword(s):  
Fuzzy Systems ◽  
Filter Design ◽  
Asymptotically Stable ◽  
Two Dimensional ◽  
Finite Frequency ◽  
New Approach ◽  
Filter Model ◽  
Error System ◽  
Non Linear Systems ◽  
Takagi Sugeno

This paper considers the problem of filter design for two-dimensional (2D) discrete-time non-linear systems in Takagi-Sugeno (T-S) fuzzy mode. The problem to be solved in the paper is to find a H∞ filter model such that the filtering error system is asymptotically stable. A numerical example is employed to illustrate the validity of the proposed methods.

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