Synthesis of Output Feedback Controllers for Descriptor Systems Satisfying Closed-Loop Dissipativity

2006 ◽  
Author(s):  
I. Masubuchi
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Descriptor Systems ◽  
Feedback Controllers

scholarly journals Eliminating Impulse for Descriptor System by Derivative Output Feedback

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Jian Li ◽  
Yufa Teng ◽  
Qingling Zhang ◽  
Jinghao Li ◽  
Liang Qiao
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Sufficient Conditions ◽  
Descriptor System ◽  
Closed Loop System ◽  
Feedback Controllers ◽  
Matrix Pencils ◽  
System Equivalence ◽  
Dynamical Order ◽  
Theoretical Results

The problem of impulse elimination for descriptor system by derivative output feedback is investigated in this paper. Based on a novelly restricted system equivalence between matrix pencils, the range of dynamical order of the resultant closed loop descriptor system is given. Then, for the different dynamical order, sufficient conditions for the existence of derivative output feedback to ensure the resultant closed loop system to be impulse free are derived, and the corresponding derivative output feedback controllers are provided. Finally, simulation examples are given to show the consistence with the theoretical results obtained in this paper.

Semiglobal Output Feedback Stabilization of a Generalized Class of MIMO Nonlinear Systems

2011 ◽  
Vol 133 (6) ◽  
Author(s):  
Junyong Zhai ◽  
Chunjian Qian ◽  
Hui Ye
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Feedback Stabilization ◽  
Asymptotically Stable ◽  
Closed Loop System ◽  
Feedback Controllers ◽  
Output Feedback Stabilization ◽  
Mismatched Uncertainties ◽  
Semiglobal Stabilization

This paper considers the problem of semiglobal stabilization by output feedback for a class of generalized multi-input and multi-output uncertain nonlinear systems. Due to the presence of mismatched uncertainties and the lack of triangularity condition, the systems under consideration are not uniformly completely observable. Combining the output feedback domination approach and block-backstepping scheme together, a series of linear output feedback controllers are constructed recursively for each subsystems and the closed-loop system is rendered semiglobally asymptotically stable.

scholarly journals Robust Admissibilization of Descriptor Systems by Static Output-Feedback: An LMI Approach

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
M. Chaabane ◽  
F. Tadeo ◽  
D. Mehdi ◽  
M. Souissi
Keyword(s):  
Output Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Initial Value ◽  
Feedback Controllers ◽  
Classical State ◽  
Static Output

The problem of the stabilization of descriptor systems in continuous-time via static output-feedback is studied in this paper and an approach to solve it is proposed. For this, sufficient conditions are derived for the closed-loop system to be admissible (i.e., stable, regular, and impulse-free). These conditions are expressed in terms of a strict Linear Matrix Inequality (LMI); so they are tractable using numerical computations. The proposed controller design methodology is based on two steps: the first is dedicated to synthesizing a classical state-feedback controller, which is used as the initial value for the second step, which uses an LMI problem to obtain static output-feedback controllers that give admissibility. Finally, a numerical example is given to illustrate the results.

LQG Output Feedback Control of Multi-Rate Networked Control Systems

2012 ◽  
Vol 433-440 ◽  
pp. 4101-4107
Author(s):  
Hong Li Liu ◽  
Qi Xin Zhu ◽  
Yan Ping Wang
Keyword(s):  
Control Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Networked Control Systems ◽  
Output Feedback Control ◽  
Networked Control ◽  
Feedback Controllers ◽  
State Information ◽  
Output Feedback Controller ◽  
Optimal Estimator

Networked control systems with single-rate mode means the sampling periods of sensor, controller and actuator are the same. Networked control systems with multi-rate mode means the sampling periods of sensor, controller and actuator are not the same. Networked control systems with single-rate mode are called single-rate networked control systems; networked control systems with multi-rate mode are called multi-rate networked control systems. The optimal estimator and LQG output feedback controller of multi-rate linear networked control systems are presented when the system has partial state information. The LQG output feedback controllers are proved to render corresponding closed-loop networked control systems exponentially mean square stable on some wild conditions. The separation theorem is proved to still hold in such multi-rate networked control systems.

H ∞ and Passivity Control via Static and Integral Output Feedback for Systems With Input Delay

2011 ◽  
Vol 134 (2) ◽  
Author(s):  
Baozhu Du ◽  
James Lam ◽  
Zhan Shu
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Computational Algorithm ◽  
Input Delay ◽  
Closed Loop System ◽  
Feedback Controllers ◽  
New Approach ◽  
Delay Partitioning ◽  
Monotonic Property ◽  
Time Linear

This paper addresses a new approach on H∞ and passivity control via static and integral output feedback controllers of continuous-time linear systems with input delay. By combining an augmentation approach and the delay partitioning technique, criteria for static and integral output feedback H∞/passivity stabilizability are proposed for the closed-loop system in terms of matrix inequalities. These new characterizations possess a special monotonic property, which underpin the convergence of a linearized iterative computational algorithm. The effectiveness and merits of the proposed approach are illustrated through numerical examples.

scholarly journals Boundary feedback control of an anti-stable wave equation

2020 ◽  
Vol 37 (4) ◽  
pp. 1367-1399
Author(s):  
Pierre APKARIAN ◽  
Dominikus NOLL
Keyword(s):  
Wave Equation ◽  
Output Feedback ◽  
Closed Loop ◽  
Dimensional System ◽  
Torsional Vibrations ◽  
Feedback Controllers ◽  
Boundary Feedback Control ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
Infinite Dimensional System

Abstract We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional $H_{\infty }$-output feedback controllers that stabilize the infinite-dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.

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