Systematic ultimate bound computation for sampled-data systems with quantization

Haimovich, Hernan; Kofman, Ernesto; Serón, María M.

doi:10.1016/j.automatica.2006.12.002

Cited by 29 publications

(22 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[14]) and on the extension and application of the current results to networked control systems (cf. [5]) and to switching systems with mixed continuous-and discrete-time dynamics.…”

Section: Discussionmentioning

confidence: 99%

Bounds and invariant sets for a class of switching systems with delayed-state-dependent perturbations

Haimovich

Serón

2013

Automatica

Self Cite

View full text Add to dashboard Cite

We present a novel method to compute componentwise transient bounds, componentwise ultimate bounds, and invariant regions for a class of switching continuous-time linear systems with perturbation bounds that may depend nonlinearly on a delayed state. The main advantage of the method is its componentwise nature, i.e. the fact that it allows each component of the perturbation vector to have an independent bound and that the bounds and sets obtained are also given componentwise. This componentwise method does not employ a norm for bounding either the perturbation or state vectors, avoids the need for scaling the different state vector components in order to obtain useful results, and may also reduce conservativeness in some cases. We give conditions for the derived bounds to be of local or semi-global nature. In addition, we deal with the case of perturbation bounds whose dependence on a delayed state is of affine form as a particular case of nonlinear dependence for which the bounds derived are shown to be globally valid. A sufficient condition for practical stability is also provided. The present paper builds upon and extends to switching systems with delayed-state-dependent perturbations previous results by the authors. In this sense, the contribution is three-fold: the derivation of the aforementioned extension; the elucidation of the precise relationship between the class of switching linear systems to which the proposed method can be applied and those that admit a common quadratic Lyapunov function (a question that was left open in our previous work); and the derivation of a technique to compute a common quadratic Lyapunov function for switching linear systems with perturbations bounded componentwise by affine functions of the absolute value of the state vector components. In this latter case, we also show how our componentwise method can be combined with standard techniques in order to derive bounds possibly tighter than those corresponding to either method applied individually.

show abstract

“…[14]) and on the extension and application of the current results to networked control systems (cf. [5]) and to switching systems with mixed continuous-and discrete-time dynamics.…”

Section: Discussionmentioning

confidence: 99%

Bounds and invariant sets for a class of switching systems with delayed-state-dependent perturbations

Haimovich

Serón

2013

Automatica

Self Cite

View full text Add to dashboard Cite

show abstract

“…We provide here a general invariance result and point to Kofman, Haimovich, and Seron (2007) for the proof and to Haimovich, Kofman, and Seron (2007), Olaru et al (2008) and Stoican, Olaru, De Doná, and Seron (2011) for refinements in terms of conservativeness.…”

Section: Appendix a Background On Ubi Setsmentioning

confidence: 98%

A discussion on sensor recovery techniques for fault tolerant multisensor schemes

Stoican

Olaru

Doná³

et al. 2013

International Journal of Systems Science

Self Cite

View full text Add to dashboard Cite

International audienceThe present paper deals with the interplay between healthy and faulty sensor functioning in a multisensor scheme based on a switching control strategy. Fault tolerance guarantees have been recently obtained in this framework based upon the characterisation of invariant sets for state estimations in healthy and faulty functioning. A source of conservativeness of this approach is related to the issue of sensor recovery. A common working hypothesis has been to assume that once a sensor switches to faulty functioning it can no longer be used by the control mechanism even if at an ulterior moment it switches back to healthy functioning. In the current paper, we present necessary and sufficient conditions for the acknowledgement of sensor recovery and we propose and compare different techniques for the reintegration of sensors in the closed-loop decision-making mechanism

show abstract

“…where A = AC + AA, I AC = A + B(1 + H)K , B = A1 + A4 AAc = AA + AB(1+ H)K, Lemma 1 For any matrices E and F with appropriate dimensions and scalar e > 0, then the following inequality holds: EF + FTET < .-1EET +eFTF (9) Proof: Using the fact that for any two matrices E, F and scalar £ > 0, we have the following result:…”

Section: + Asmentioning

confidence: 99%

“…The stability analysis of networked control systems(NCSs) with quantized feedback control law has been extensively investigated( [1][2][3][4][5][6][7][8][9][10]]) since NCSs have been widely applied to various fields comprise spatially distributed resource allocation networks, supervisory control of continuous plants, intelligent vehicle highway systems, power generation or distribution networks, wireless networks and many others. There are some features specific to NCSs such as inherent interregnum, nondeterminism and the variety of control mechanisms which significantly aggravate both performance and stability analysis of system, especially, for uncertain system.…”

Section: Introductionmentioning

confidence: 99%

Parameter-dependent Stability and Robustness Analysis for Quantization System with Time-delay

Feng

Xiao-hong

et al. 2008

2008 IEEE International Symposium on Knowledge Acquisition and Modeling Workshop

View full text Add to dashboard Cite

The paper devotes to the parameter-dependent stability and robustness analysis of quantization system with time-delay. The common aim of this note is to demonstrate that an unified study of quantization and delay effects in an uncertain system is possible by merging the quantized control law and a new Lyapunov-Krasovskii functional. A new parameter-dependent stability criterion is derived in terms of LMI(linear matrix inequality) which can be easily solved. Moreover, a sufficient condition for the existence of a guaranteed cost controller for NCSs is also presented by a set of LMIs. A simulation result is given to illustrate the effectiveness of the proposed method.

show abstract

Systematic ultimate bound computation for sampled-data systems with quantization

Cited by 29 publications

References 17 publications

Bounds and invariant sets for a class of switching systems with delayed-state-dependent perturbations

Bounds and invariant sets for a class of switching systems with delayed-state-dependent perturbations

A discussion on sensor recovery techniques for fault tolerant multisensor schemes

Parameter-dependent Stability and Robustness Analysis for Quantization System with Time-delay

Contact Info

Product

Resources

About