Eur. J. ControlPub Date : 2007-01-01DOI: 10.3166/ejc.13.552-557
D. Arzelier, D. Peaucelle, E. Prempain, J. Camino, J. Swevers
{"title":"Discussion on: \"Design of Low Order Robust Controllers for a VSC HVDC Power Plant Terminal\"","authors":"D. Arzelier, D. Peaucelle, E. Prempain, J. Camino, J. Swevers","doi":"10.3166/ejc.13.552-557","DOIUrl":"https://doi.org/10.3166/ejc.13.552-557","url":null,"abstract":"This note aims at providing some background and comments to the paper by M. Durrant, H. Werner and K. Abbott published in this issue. This paper proposes a comparison between the so-called GloverMcFarlane loop shaping design procedure (LSDP) and the Lyapunov-based design procedure (called ellisoidal set formulation) proposed in [25]. The synthesis procedures are evaluated via the design of robust multi-performance reduced-order controllers for a voltage source converter high voltage direct current (VSC HVDC) power plant terminal that is operating over different points. The present discussion will focus on the theoretical problem of the synthesis of robust multi-performance reduced-order controllers for linear uncertain models rather than on the practical control problem. It is well-known that this particular control problem is extremely difficult [1]. Even the simplified problem of reduced-order controller synthesis for a given plant is still an open problem. The present problem has been extensively studied and the format of a discussion section in European Journal of Control is clearly too stringent to include all the possible references. Therefore, the objective of this note is not to give a complete and fair evaluation of the existing methods in a very rich literature but rather to give some brief comments and additional references to the interested reader. First, we would like to comment two issues with respect to the ellipsoidal set formulation. When comparing with other formulations, this parameterization has the advantage to allow multiobjective or multi-operating points design without the conservative constraints introduced by the Lyapunov shaping paradigm (LSP) [23]. Yet, this property may be used in a richer way than it is here in [8]. Indeed, the multi-objective problems may also have inhomogeneous dimensions. In particular, the specifications may be defined for models of different orders. This is often the case when including weighting functions in the design process. Another debatable point may be raised about the application of the convexifying approach to this particular formulation. Indeed, it seems that the converging point of the algorithm is located on the boundaries of the nonlinear nonconvex inequality constraint leading to the loss of the main characteristic of the proposed parameterization: convex sets (ellipsoids) of controllers. This property has been used in [25] to choose the best controllers in the set with respect to resilience properties. We have some doubts about the effectiveness of this resilience procedure when using the convexifying approach. This last remark naturally leads to the discussion about numerical issues. The control problem encountered in the present paper may be recast as the following nonconvex nonlinear optimization problem:","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"171 1","pages":"552-557"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74134930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2007-01-01DOI: 10.3166/ejc.13.468-472
J. VanAntwerp, R. Braatz, T. Alamo, D. M. D. L. Peña, I. Alvarado, D. Limón
{"title":"Discussion on: \"GPC Robust Design Using Linear and/or Bilinear Matrix Inequalities\"","authors":"J. VanAntwerp, R. Braatz, T. Alamo, D. M. D. L. Peña, I. Alvarado, D. Limón","doi":"10.3166/ejc.13.468-472","DOIUrl":"https://doi.org/10.3166/ejc.13.468-472","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"97 1","pages":"468-472"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74827425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2007-01-01DOI: 10.3166/ejc.13.527-528
R. Sattigeri, A. Calise, Byoung-Soo Kim
{"title":"Discussion on: \"Backstepping Controller Design Using Neural Networks for a Fighter Aircraft\"","authors":"R. Sattigeri, A. Calise, Byoung-Soo Kim","doi":"10.3166/ejc.13.527-528","DOIUrl":"https://doi.org/10.3166/ejc.13.527-528","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"15 1","pages":"527-528"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74577874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2007-01-01DOI: 10.3166/ejc.13.440-446
K. Macek, J. Matuško, Agostino Martinelli, R. Siegwart, Jose Alfredo Guerrero Mata, R. Lozano
{"title":"Discussion on: \"Adaptive and Predictive Path Tracking Control for Off-road Mobile Robots\"","authors":"K. Macek, J. Matuško, Agostino Martinelli, R. Siegwart, Jose Alfredo Guerrero Mata, R. Lozano","doi":"10.3166/ejc.13.440-446","DOIUrl":"https://doi.org/10.3166/ejc.13.440-446","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"38 1","pages":"440-446"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85291367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2007-01-01DOI: 10.3166/ejc.13.656-658
Sebastián J. Ferraro, D. D. Diego
{"title":"Discussion on: ''Symmetry Reduction and Control of the Dynamics of a 2-D Rigid Circular Cylinder and a Point Vortex: Vortex Capture and Scattering''","authors":"Sebastián J. Ferraro, D. D. Diego","doi":"10.3166/ejc.13.656-658","DOIUrl":"https://doi.org/10.3166/ejc.13.656-658","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"70 1","pages":"656-658"},"PeriodicalIF":0.0,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89417717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2006-12-04DOI: 10.3166/ejc.12.396-399
H. Chizeck, Chun-I Chen, Y. Ji
{"title":"Discussion on: \"Mean Square Exponential Stability for Stochastic Linear Discrete Time Systems\"","authors":"H. Chizeck, Chun-I Chen, Y. Ji","doi":"10.3166/ejc.12.396-399","DOIUrl":"https://doi.org/10.3166/ejc.12.396-399","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"147 1","pages":"396-399"},"PeriodicalIF":0.0,"publicationDate":"2006-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77703353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2006-01-01DOI: 10.3166/ejc.12.500-504
M. Verwoerd, O. Mason
{"title":"Discussion on: \"Multi-layer Switching Control using Generalized Sampled-data Hold Functions\"","authors":"M. Verwoerd, O. Mason","doi":"10.3166/ejc.12.500-504","DOIUrl":"https://doi.org/10.3166/ejc.12.500-504","url":null,"abstract":"In the paper under discussion, the authors consider the problem of designing switching controllers for plants that are subject to large levels of uncertainty or to abrupt changes in their dynamics. There has been a great deal of interest in this problem in the recent past [7,2], and the potential applications of switching controllers are numerous. For instance, one approach to the design of fault-tolerant systems [3,4] is to construct models and controllers for the various operating conditions corresponding to different system malfunctions. Once the correct plant has been identified, the associated controller is switched on. Of course, in order for this type of scheme to be practical, it is vitally important to be able to identify the correct plant as quickly and efficiently as possible, and tominimise any transient effects which may result from switching to incorrect controllers during the identification process. A major issue in the design of switching control schemes is that the system can switch to destabilising controllers before finally locking onto the correct one, which leads to very poor transient behaviour. We shall refer to such switches as destabilising switches throughout this discussion. The primary contribution of the paper is to describe a novel switching control scheme, which reduces the number of undesirable, destabilising switches that occur while identifying the correct plant. In fact, under a range of assumptions, which we shall discuss in detail below, the correct plant can be identified after a finite number of switches, at most one of which is destabilising. The authors also give an upper bound on the number of switches required in order to find the correct plant. The architecture underpinning the MLSC scheme consists of several layers or levels of controllers. In fact, given n plants, P1, . . . ,Pn, the proposed architecture consists of n 2 layers, each of which contains a number of controllers. The various control layers are constructed in such a way that if i denotes the layer number, C and C0 denote controllers, and P denotes a plant model, then:","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"21 1","pages":"500-504"},"PeriodicalIF":0.0,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73957853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2006-01-01DOI: 10.3166/ejc.12.261-277
M. Darouach, M. Zasadzinski, L. Boutat-Baddas
{"title":"Discussion on: A Comparison of Sliding Mode and Unknown Input Observer for Fault Reconstruction","authors":"M. Darouach, M. Zasadzinski, L. Boutat-Baddas","doi":"10.3166/ejc.12.261-277","DOIUrl":"https://doi.org/10.3166/ejc.12.261-277","url":null,"abstract":"where x(t) ∈ IR is the state, u(t) ∈ IR is the known input, v(t) ∈ IR is the unknown input, which can be considered as the effect of the actuator failure, and y(t) ∈ IR is the measurement output. Without loss of generality, we have rank D = q and rankC = p. The problem of the state estimation in this case is the well known unknown input one, see [4] and the references given in [2]. The necessary and sufficient conditions for the existence and the stability of the full order or reduced order observers are","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"10 1","pages":"261-277"},"PeriodicalIF":0.0,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83959753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2006-01-01DOI: 10.3166/ejc.12.431-436
O. Kaneko
{"title":"Discussion on: \"Energy-to-Peak Model Reduction for 2-D Discrete Systems in Fornasini-Marchesini Form\"","authors":"O. Kaneko","doi":"10.3166/ejc.12.431-436","DOIUrl":"https://doi.org/10.3166/ejc.12.431-436","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"39 1","pages":"431-436"},"PeriodicalIF":0.0,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90252840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Eur. J. ControlPub Date : 2006-01-01DOI: 10.3166/ejc.12.171-175
E. Yaz
{"title":"Discussion on: \"Application of Logarithmic-based Parameter and Upper Bounding Estimation Rules to Adaptive-Robust Control of Robot Manipulators\"","authors":"E. Yaz","doi":"10.3166/ejc.12.171-175","DOIUrl":"https://doi.org/10.3166/ejc.12.171-175","url":null,"abstract":"","PeriodicalId":11813,"journal":{"name":"Eur. J. Control","volume":"43 1","pages":"171-175"},"PeriodicalIF":0.0,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82877111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}