The Linear Constrained Regulation Problem for Some Linear Continuous-Time Singular Systems

1992 ◽  
Vol 25 (21) ◽  
pp. 472-475
Author(s):  
S. Tarbouriech ◽  
E.B. Castelan
Keyword(s):  
Continuous Time ◽  
Singular Systems

scholarly journals Stability and Stabilization of Continuous-Time Markovian Jump Singular Systems with Partly Known Transition Probabilities

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Jumei Wei ◽  
Rui Ma
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Partial Information ◽  
Transition Probabilities ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Stability And Stabilization ◽  
The Stability

This paper investigates the problem of the stability and stabilization of continuous-time Markovian jump singular systems with partial information on transition probabilities. A new stability criterion which is necessary and sufficient is obtained for these systems. Furthermore, sufficient conditions for the state feedback controller design are derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed methods.

Exponential Stability for Continuous-Time Singular Systems With Multiple Time Delays

2003 ◽  
Vol 125 (2) ◽  
pp. 262-264 ◽  
Author(s):  
Yeong-Jeu Sun
Keyword(s):  
Convergence Rate ◽  
Exponential Stability ◽  
Stability Criterion ◽  
Continuous Time ◽  
Time Delays ◽  
Global Exponential Stability ◽  
Singular Systems ◽  
Multiple Time ◽  
Numerical Example ◽  
Multiple Time Delays

In this paper, the global exponential stability for a class of singular systems with multiple time delays is investigated. Simple stability criterion is derived to guarantee the global exponential stability of such systems. Moreover, an estimate of the convergence rate of such stable systems is presented. A numerical example is also provided to illustrate the main result.

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.

scholarly journals Preview Tracking Control for Continuous-Time Singular Interconnected Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-13
Author(s):  
Hao Xie ◽  
Fucheng Liao ◽  
Jiamei Deng
Keyword(s):  
Numerical Simulation ◽  
Continuous Time ◽  
Tracking Control ◽  
Singular Systems ◽  
Tracking Error ◽  
Original System ◽  
Interconnected Systems ◽  
Interconnected System ◽  
Tracking Controller ◽  
Error System

This paper proposes and investigates a problem of preview tracking control for a class of continuous-time singular interconnected systems. Firstly, the related items are deleted to obtain several isolated subsystems with low dimensions. An error system is constructed for each isolated subsystem so that the tracking error is included in the state vector of the error system; then, the tracking problem is transformed into a regulation problem. Secondly, the preview tracking controller is designed for each error system and obtained controllers are combined as the controller of the error system of the singular interconnected system. Thirdly, the Lyapunov function method is utilized to determine the constraints of the related terms so that the closed-loop system of the error system of the singular interconnected system is stable under the action of the controller obtained. Finally, the preview tracking controller of the singular interconnected system is obtained from the relationship between the error system and the original system. A numerical simulation algorithm for continuous-time singular systems is also proposed in this paper. The numerical simulation illustrates the effectiveness of the theoretical results.

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