Reliable stabilization using a multi-controller configuration

Vidyasagar, M.; Viswanadham, N.

doi:10.1016/0005-1098(85)90008-1

Cited by 174 publications

(44 citation statements)

References 14 publications

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“…"+1, 2, 2 , m, and Q "+1, 2, 2 , q, that correspond to, respectively, the identified subsets of actuators and sensors susceptible to outages. Find, if possible, a controller K of (7) - (8), such that the resulting closed-loop system is locally asymptotically stable and has local¸ disturbance attenuation performance when all sensors and actuators are operational, as well as when actuator outages corresponding to any ? L ?…”

Section: Primary Contingency Reliable Controller (Pcrc) Design Problemmentioning

confidence: 99%

Reliable nonlinear control system design using duplicated control elements

Liu

Wang

Yang

et al. 1997

Int. J. Robust Nonlinear Control

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Reliable L2 gain bounding (i.e., H∞) controllers for nonlinear systems are designed by using redundant control elements. One sensor and one actuator are duplicated, and the resulting closed‐loop system is reliable with respect to both the single contingency case and the primary contingency case. The design procedures for reliable controllers are developed by using the Hamilton–Jacobi inequalities from nonlinear H∞ control theory. Linear reliable controller design methods are also obtained by restricting the proposed nonlinear methods to the linear case, and the linear methods are found to be less conservative than existing methods for linear reliable controller design. Examples are given to illustrate the design procedures for both linear and nonlinear reliable controllers and the advantages of the proposed linear method over existing ones. © 1997 by John Wiley & Sons, Ltd.

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Section: Primary Contingency Reliable Controller (Pcrc) Design Problemmentioning

confidence: 99%

Reliable nonlinear control system design using duplicated control elements

Liu

Wang

Yang

et al. 1997

Int. J. Robust Nonlinear Control

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“…This theory is called reliable control [1], and it includes integrity [2,3], reliable H ¥ -norm-bounding control [4], and passive redundancy [5,6]. However, it has the following weak points.…”

Section: Introductionmentioning

confidence: 97%

Reliable nonlinear control systems

Suyama¹

1999

Electron. Comm. Jpn. Pt. II

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Recently, measures for control system safety against failures in control devices, especially in sensors, have attracted widespread attention. Control theory for designing a compensator such that the stability of the total control system can be maintained against possible device failures has been studied; it is called reliable control. However, because its application to nonlinear control systems has hardly been studied, it has not been put to practical use. The author has presented a new reliable control system with tolerance against sensor failures. Based on the same concept as passive redundancy, decision by majority has been introduced under a situation in which several redundant sensors for the output of a controlled object are in operation simultaneously and independently. From a practical viewpoint, the author extends this approach to nonlinear control systems using exact linearization by state feedback and transformation. This presents a way of overcoming the problems of conventional reliable control. © 1999 Scripta Technica, Electron Comm Jpn Pt 2, 82(1): 11–22, 1999

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“…The objective of FTC is to design an appropriate controller such that the resulting closed-loop system can tolerate abnormal operations of specific control components and retain overall system stability with acceptable system performance [5]. Within FTC theory, several approaches have been reported: the algebraic Riccati equation-based approach [6], the coprime factorization approach [7], the HamiltonJacobi-based approach [8], the sliding-mode control approach [9] and the LMI approach [10]. Among the mentioned studies, the LMI approach is relatively simpler to be implemented, making this approach one of the most popular in the field; see [11,12] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Fault‐tolerant control design to enhance damping of inter‐area oscillations in power grids

Sevilla

Jaimoukha

Chaudhuri

et al. 2013

Intl J Robust & Nonlinear

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SUMMARYIn this paper passive and active approaches for the design of fault-tolerant controllers (FTCs) are presented. The FTCs are used to improve the damping of inter-area oscillations in a power grid. The effectiveness of using a combination of local and remote (wide-area) feedback signals is first demonstrated. The challenge is then to guarantee a minimum level of dynamic performance following a loss of remote signals. The designs are based on regional pole-placement using Linear Matrix Inequalities (LMIs). First, a passive FTC is proposed. It is shown that the computation of the controller reduces to the solution of bilinear matrix inequalities. An iterative procedure is then used to design the controller. Next, as an alternative to active, time varying controllers, one for each fault scenario, we propose an approach for the design of a 'minimal switching' FTC in which only one controller is designed, but where a simple switch is incorporated into the controller structure. A case study in a linear and nonlinear Nordic equivalent system is presented to show that the closed-loop response using a conventional control (CC) design could deteriorate the performance or even destabilize the system if the remote signals are lost and to demonstrate the effectiveness of the proposed FTC designs.KEY WORDS: Fault-tolerant control, regional pole-placement, simultaneous design, power oscillation damping, local and remote feedback.

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Reliable stabilization using a multi-controller configuration

Cited by 174 publications

References 14 publications

Reliable nonlinear control system design using duplicated control elements

Reliable nonlinear control system design using duplicated control elements

Reliable nonlinear control systems

Fault‐tolerant control design to enhance damping of inter‐area oscillations in power grids

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