A Stabilizing Switching Scheme for Multi Controller Systems

Malmborg, Jörgen; Bernhardsson, Bo; Åström, Karl Johan

doi:10.1016/s1474-6670(17)58071-4

Cited by 68 publications

(41 citation statements)

References 5 publications

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“…Next, we present the main result of this section which provides an online procedure for computing the switching function , . Specifically, differentiating both sides of (10) (14) are such that , , or, equivalently, , . Proof: The result follows by differentiating both sides of (10) with respect to time and noting that .…”

Section: Extensions To Nonlinear Dynamic Compensationmentioning

confidence: 99%

“…Similar arguments hold for global asymptotic stability in the case where . The compensator dynamics (14) characterize the fastest admissible rate of change of the switching function for which the feedback control (16) maintains stability of the closed-loop system. As discussed in Section I, this quantifies the notion of slow-varying system parameters which has been one of the major shortcomings of gain scheduling practices.…”

Section: Extensions To Nonlinear Dynamic Compensationmentioning

confidence: 99%

“…Limited to system analysis, related yet different approaches to the proposed hierarchical switching control design framework are given in [11]- [14]. Specifically, analysis of switched linear systems in the plane ( ) are given in [11] and [12].…”

mentioning

confidence: 99%

“…More recently, asymptotic stability analysis of -linear systems using Lyapunov-like functions is given in [13]. Stability of a multi-controller switched system is analyzed using Lyapunov functions and sliding surfaces in [14]. A hybrid stabilization strategy for nonlinear systems controlled by linear controllers is discussed in [15] wherein domains of attraction are enlarged by the use of a switching strategy.…”

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confidence: 99%

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Nonlinear system stabilization via hierarchical switching control

Leonessa

Haddad

Chellaboina

2001

IEEE Trans. Automat. Contr.

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Abstract-In this paper, a nonlinear control-system design framework predicated on a hierarchical switching controller architecture parameterized over a set of moving system equilibria is developed. Specifically, using equilibria-dependent Lyapunov functions, a hierarchical nonlinear control strategy is developed that stabilizes a given nonlinear system by stabilizing a collection of nonlinear controlled subsystems. The switching nonlinear controller architecture is designed based on a generalized lower semicontinuous Lyapunov function obtained by minimizing a potential function over a given switching set induced by the parameterized system equilibria. The proposed framework provides a rigorous alternative to designing gain-scheduled feedback controllers and guarantees local and global closed-loop system stability for general nonlinear systems.Index Terms-Domains of attraction, dynamic compensation, equilibria-dependent Lyapunov functions, hierarchical switching control, nonlinear connective stabilization, parameterized equilibria.

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Section: Extensions To Nonlinear Dynamic Compensationmentioning

confidence: 99%

Section: Extensions To Nonlinear Dynamic Compensationmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Nonlinear system stabilization via hierarchical switching control

Leonessa

Haddad

Chellaboina

2001

IEEE Trans. Automat. Contr.

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“…En este sentido, los SCBR constituyen un caso particular de este tipo de sistemas puesto que la planta a controlar es, habitualmente, un sistema continuo, el controlador es un sistema discreto y el enlace de comunicación compartido, sometido a la variabilidad propia del tráfico de información, es un sistema basado en eventos discretos. Algunas referencias de interés en esta línea de investigación incluyen las siguientes: [Ben90], [Bra95], [Des95], [Sas95], [Mal96], [Pur96], [Bra97], [Bra98], [Cai98], [Van98], [Hed99], [Lyg99], [DeC00], [Sim01].…”

Section: 2-referencias Relacionadas Con Los Scbrunclassified

Sistemas de control basados en red. Modelado y diseño de estructuras de control.

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Fermín²

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Event‐triggered state‐dependent switching rule design for switched linear systems

Zuo

Wang

2018

Intl J Robust & Nonlinear

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Summary This paper is devoted to the synthesis problem of switched linear systems. We come up with a novel state‐dependent switching rule in terms of an event‐triggered mechanism. This switching rule is able to expand the degree of freedom of bilinear matrix inequality where the synthesis problem is constructively formulated. It is overwhelmingly critical that the number of decision variables, which determines the conservativeness of our results under the proposed event‐triggered state‐dependent switching rule, is larger than the previous ones when a switched system consisted of three or more subsystems. The implementation complexity of a switching law is greatly reduced, as well as the number of switchings. Finally, two examples illustrate that the proposed synthesis procedure is valid.

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A Stabilizing Switching Scheme for Multi Controller Systems

Cited by 68 publications

References 5 publications

Nonlinear system stabilization via hierarchical switching control

Nonlinear system stabilization via hierarchical switching control

Sistemas de control basados en red. Modelado y diseño de estructuras de control.

Event‐triggered state‐dependent switching rule design for switched linear systems

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