scholarly journals An Observer-Based Controller Design for a Markovian Jumping Singular System with Polytopic Uncertainties

2017 ◽  
Author(s):  
Ching-Min Lee ◽  
Yi-Ching Huang ◽  
Cheng-Chia Kung
Keyword(s):  
Controller Design ◽  
Singular System ◽  
Markovian Jumping ◽  
Polytopic Uncertainties

Stabilization of Large-Scale Fuzzy Interconnected System

2017 ◽  
pp. 34-83
Keyword(s):  
Distributed Control ◽  
Output Feedback ◽  
System Approach ◽  
Large Scale ◽  
State Feedback ◽  
Controller Design ◽  
Singular System ◽  
Interconnected System ◽  
Distributed Control Problem ◽  
Static Output

The chapter addresses the stabilization problem for large-scale fuzzy interconnected systems. Our aim is to present the design results on both the state feedback and static-output feedback (SOF) stabilizing fuzzy controllers. Firstly, by using some bounding techniques, the reduced number of LMIs to the decentralized state feedback controller design will be derived. Then, by using some matrix transformation techniques and singular system approach, we will also derive some design results on decentralized SOF control in terms of LMIs. Moreover, the proposed design results on the decentralized control will be extended to address the distributed control problem. Finally, several examples are given to illustrate the use of corresponding results.

Dissipative controller design for uncertain neutral systems with semi-Markovian jumping parameters

2017 ◽  
Vol 39 (2) ◽  
pp. 888-903 ◽  
Author(s):  
Weifeng Xia ◽  
Shengyuan Xu ◽  
Qian Ma ◽  
Zhidong Qi ◽  
Zhengqiang Zhang
Keyword(s):  
Controller Design ◽  
Markovian Jumping Parameters ◽  
Neutral Systems ◽  
Markovian Jumping

scholarly journals Less Conservative Control Design for Linear Systems with Polytopic Uncertainties via State-Derivative Feedback

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
Emerson R. P. da Silva ◽  
Edvaldo Assunção ◽  
Marcelo C. M. Teixeira ◽  
Luiz Francisco S. Buzachero
Keyword(s):  
Linear Systems ◽  
Lyapunov Functions ◽  
State Feedback ◽  
Controller Design ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Polytopic Uncertainties ◽  
Parameter Dependent ◽  
Finsler’S Lemma ◽  
Time Linear

The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities (LMIs) and a parameter-dependent Lyapunov functions (PDLF) allowed by Finsler’s lemma, a less conservative approach to the controller design via state-derivative feedback, is proposed in this work, with and without decay rate restriction, for continuous-time linear systems subject to polytopic uncertainties. Finally, numerical examples illustrate the efficiency of the proposed method.

Finite-time guaranteed cost controller design for uncertain linear continuous-time singular systems

2019 ◽  
Vol 41 (12) ◽  
pp. 3507-3515 ◽  
Author(s):  
Bo Li ◽  
Songlin Wo ◽  
Junjie Zhao ◽  
Xuejing Ren
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Closed Loop ◽  
Controller Design ◽  
Singular Systems ◽  
Singular System ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Guaranteed Cost ◽  
Bounded Uncertainties

This article concerns the finite-time robust guaranteed cost control problem for a class of linear continuous-time singular systems with norm-bounded uncertainties. In this study, the problem is to design a state feedback controller such that the closed-loop system is finite-time stable, and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. By constructing an appropriate Lyapunov function, a sufficient condition for the finite-time robust stability of the system based on linear matrix inequality (LMI) is established. Furthermore, the sufficient condition for the existence of the guaranteed cost controller is formulated in terms of LMIs, which can make the closed-loop uncertain singular system finite-time robust stable. Finally, two numerical examples are given for illustration of the proposed theoretical results.

Output feedback controller design for Quadratic Cost Minimization for Linear Systems with Polytopic Uncertainties

2021 ◽  
Author(s):  
Tamires S. De Simone ◽  
Igor Thiago Minari Ramos ◽  
Lucas Favi Bocca ◽  
Uiliam Nelson L. T. Alves ◽  
Douglas Buytendorp Bizarro ◽  
...  
Keyword(s):  
Linear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Cost Minimization ◽  
Feedback Controller ◽  
Output Feedback Controller ◽  
Quadratic Cost ◽  
Polytopic Uncertainties
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