Centralized Design of Decentralized Stabilizing Controllers for Large-Scale Descriptor Systems

2001 ◽  
Vol 34 (8) ◽  
pp. 373-378 ◽  
Author(s):  
Masao Ikeda ◽  
Guisheng Zhai ◽  
Eiho Uezato
Keyword(s):  
Large Scale ◽  
Descriptor Systems ◽  
Stabilizing Controllers

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

State-Space Stabilizing Controllers for Descriptor Systems

2012 ◽  
Vol 5 (3) ◽  
pp. 175-183 ◽  
Author(s):  
Masaki INOUE ◽  
Teruyo WADA ◽  
Masao IKEDA ◽  
Eiho UEZATO
Keyword(s):  
State Space ◽  
Descriptor Systems ◽  
Stabilizing Controllers

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

Finite-Time Stabilization of Large-Scale Impulsive Dynamical Systems

2011 ◽  
Author(s):  
Wassim M. Haddad ◽  
Sergey G. Nersesov
Keyword(s):  
Dynamical Systems ◽  
Finite Time ◽  
Large Scale ◽  
Sufficient Conditions ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lipschitz Continuous ◽  
Time Dynamics ◽  
Stabilizing Controllers ◽  
System States

This chapter describes sufficient conditions for finite-time stability of nonlinear impulsive dynamical systems. For impulsive dynamical systems, it may be possible to reset the system states to an equilibrium state, in which case finite-time convergence of the system trajectories can be achieved without the requirement of non-Lipschitzian dynamics. Furthermore, due to system resettings, impulsive dynamical systems may exhibit non-uniqueness of solutions in reverse time even when the continuous-time dynamics are Lipschitz continuous. The chapter presents stability results using vector Lyapunov functions wherein finite-time stability of the impulsive system is guaranteed via finite-time stability of a hybrid vector comparison system. These results are used to develop hybrid finite-time stabilizing controllers for impulsive dynamical systems. Decentralized finite-time stabilizers for large-scale impulsive dynamical systems are also constructed. Finally, it gives a numerical example to illustrate the utility of the proposed framework.

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.

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