Robust decentralised stabilisation of uncertain large-scale interconnected nonlinear descriptor systems via proportional plus derivative feedback

2017 ◽  
Vol 48 (14) ◽  
pp. 2997-3006 ◽  
Author(s):  
Jian Li ◽  
Qingling Zhang ◽  
Junchao Ren ◽  
Yanhao Zhang
Keyword(s):  
Large Scale ◽  
Descriptor Systems ◽  
Decentralised Stabilisation

scholarly journals Certifying Global Optimality for the L∞-Norm Computation of Large-Scale Descriptor Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 4279-4284
Author(s):  
P. Schwerdtner ◽  
E. Mengi ◽  
M. Voigt
Keyword(s):  
Large Scale ◽  
Descriptor Systems ◽  
Global Optimality

Model Reduction of Large Scale Descriptor Systems Using Time Limited Gramians

2017 ◽  
Vol 19 (3) ◽  
pp. 1217-1227 ◽  
Author(s):  
Khawaja Shafiq Haider ◽  
Abdul Ghafoor ◽  
Muhammad Imran ◽  
Fahad Mumtaz Malik
Keyword(s):  
Model Reduction ◽  
Large Scale ◽  
Descriptor Systems

scholarly journals New Approach on Robust and Reliable Decentralized H∞ Tracking Control for Fuzzy Interconnected Systems with Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Xinrui Liu ◽  
Qiuye Sun ◽  
Xinming Hou
Keyword(s):  
Tracking Control ◽  
Large Scale ◽  
Direct Method ◽  
Descriptor Systems ◽  
Interconnected Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Time Varying Delay ◽  
Actuator Failures ◽  
Varying Delay

This paper investigates the robust and reliable decentralized H∞ tracking control issue for the fuzzy large-scale interconnected systems with time-varying delay, which are composed of a number of T-S fuzzy subsystems with interconnections. Firstly, the ordinary fuzzy interconnected systems are equivalently transformed to the fuzzy descriptor systems; then, according to the Lyapunov direct method and the decentralized control theory of large-scale interconnected systems, the new linear matrix inequalities- (LMIs-) based conditions with some free variables are derived to guarantee the H∞ tracking performance not only when all control components are operating well, but also in the presence of some possible actuator failures. Moreover, there is no need for the precise failure parameters of the actuators, rather than the lower and upper bound. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed method.

scholarly journals Efficient Techniques for Solving the Periodic Projected Lyapunov Equations and Model Reduction of Periodic Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Mohammad-Sahadet Hossain ◽  
M. Monir Uddin
Keyword(s):  
Model Reduction ◽  
Discrete Time ◽  
Large Scale ◽  
Computational Cost ◽  
Descriptor Systems ◽  
Low Rank ◽  
Lyapunov Equations ◽  
Adi Method ◽  
Smith Method ◽  
Alternating Direction

We have presented the efficient techniques for the solutions of large-scale sparse projected periodic discrete-time Lyapunov equations in lifted form. These types of problems arise in model reduction and state feedback problems of periodic descriptor systems. Two most popular techniques to solve such Lyapunov equations iteratively are the low-rank alternating direction implicit (LR-ADI) method and the low-rank Smith method. The main contribution of this paper is to update the LR-ADI method by exploiting the ideas of the adaptive shift parameters computation and the efficient handling of complex shift parameters. These approaches efficiently reduce the computational cost with respect to time and memory. We also apply these iterative Lyapunov solvers in balanced truncation model reduction of periodic discrete-time descriptor systems. We illustrate numerical results to show the performance and accuracy of the proposed methods.

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