A Reliable Control Design for Discrete-Time Systems

Paz, R.A.; Medanić, J.

doi:10.23919/acc.1991.4791355

Cited by 13 publications

(5 citation statements)

References 2 publications

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“…From (i)-(ii) and Lemma 3.3, there exists a real symmetric positive definite matrix X satisfying (8). Since the equations (7), (8) and (11) are the different form of the same equation, then X is a solution to (11).…”

Section: Resultsmentioning

confidence: 92%

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Reliable linear-quadratic optimal control for discrete-time singular linear systems

Gao

Cong

Zhang

2009

2009 Chinese Control and Decision Conference

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The paper is concerned with the problem of designing reliable linear-quadratic state-feedback control for a class of discrete-time singular linear systems. A reliable state-feedback control is designed for the case of possible actuator faults, and the proposed state-feedback controller guarantees that the closed-loop system is admissible and its quadratic performance index is bounded by a constant. An example is given to illustrate effectiveness of the proposed method.

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Section: Resultsmentioning

confidence: 92%

“…where Proof From Lemma 3.3, there exists a real symmetric positive definite matrix X satisfying (8). Using (6) and (7), we can conclude that X is a real symmetric positive definite solution satisfying (7).…”

Section: Resultsmentioning

confidence: 94%

Reliable linear-quadratic optimal control for discrete-time singular linear systems

Gao

Cong

Zhang

2009

2009 Chinese Control and Decision Conference

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“…Reliable control designs which guarantee stability and allow the actuator (sensor) failure have been studied by many scholars [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In these literature, four main design methods are concerned.…”

Section: Introductionmentioning

confidence: 99%

“…The other method is reliable control [1-5, 8-11, 13, 14] where the design will tolerate outages within a selected subset of susceptible actuators. Control laws design guaranteeing the closed-loop system is stable and its ∞ norm is bounded in [8][9][10]14], and controllers which ensure the closed-loop system is stable and its LQ norm is bounded are proposed. Another method is adaptive control which deals with unknown actuator (sensor) failure of the system (see [15] and its references).…”

Section: Introductionmentioning

confidence: 99%

An LMI method to reliable guaranteed cost control of continuous-time systems with actuator failure

Gao

Zhang

Wang

2012

2012 24th Chinese Control and Decision Conference (CCDC)

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This paper investigates the design of the reliable guaranteed cost control problem for continuous-time systems with actuator failures. The actuator failure model is formulated. Based on this model, the problem is to design a reliable guaranteed cost state feedback control law which can tolerate actuator failure, such that the cost function of the closed-loop system is guaranteed to be no more than a certain upper bound. A sufficient condition for the existence of reliable guaranteed cost controllers is derived via the linear matrix inequality (LMI) method, and by using Matlab, this controller is easy to implement. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal reliable guaranteed cost controller which minimizes the upper bound of the closed-loop system cost. Finally, a numerical example is given to illustrate the effectiveness of the proposed design method.

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“…One is the redundant control in which the reliability of control structures is guaranteed by using multiple controllers [4, lo]. The other is the reliable control where the designs will tolerate outages within a selected subset of actuators, while maintaining stability and a known quadratic performance bound [5]- [9]. In this paper, we consider the reliable control design problem.…”

Section: Introductionmentioning

confidence: 99%

Reliable LQG controller design via the sequential measurement update

Hsieh

Liaw

Chen

2002

Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)

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This paper considers the problem of designing the reliable LQG controller of discrete-time systems with sensor outages. A sequential gain computing algorithm is formulated for LQG optimal control (LQGOC) by using the conventional sequential measurement update equations. With this new gain computing scheme, the reliable control design problem in case of sensor outages is reviewed and solved by using a special case of this new result. In additions, the bounds of gain margins for the reliable Kalman gain are also given. A numerical example is given to show the effectiveness of the obtained results.

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A Reliable Control Design for Discrete-Time Systems

Cited by 13 publications

References 2 publications

Reliable linear-quadratic optimal control for discrete-time singular linear systems

Reliable linear-quadratic optimal control for discrete-time singular linear systems

An LMI method to reliable guaranteed cost control of continuous-time systems with actuator failure

Reliable LQG controller design via the sequential measurement update

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