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[1991] Proceedings of the 30th IEEE Conference on Decision and Control最新文献

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On the stabilizability of multiple integrators by means of bounded feedback controls 用有界反馈控制研究多积分器的稳定性
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261255
H. J. Sussmann, Y. Yang
{"title":"On the stabilizability of multiple integrators by means of bounded feedback controls","authors":"H. J. Sussmann, Y. Yang","doi":"10.1109/CDC.1991.261255","DOIUrl":"https://doi.org/10.1109/CDC.1991.261255","url":null,"abstract":"It is known that a linear system x=Ax+Bu can be stabilized by means of a smooth bounded control if and only if it has no eigenvalues with positive real part, and all the uncontrollable modes have a negative real part. The authors investigate, for single-input systems, the question of whether such systems can be stabilized by means of a feedback u= sigma (h(x)), where h is linear and sigma (s) is a saturation function such as sign(s) min( mod s mod ,1). A stabilizing feedback of this particular form exists if A has no multiple eigenvalues, and also in some other special cases such as the double integrator. It is shown that for the multiple integrator of order n, with n>or=3, no saturation of a linear feedback can be globally stabilizing.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"149 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132976082","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}
引用次数: 228
Computer-aided study of nonlinear systems using an input-output approach 使用输入输出方法的非线性系统的计算机辅助研究
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261867
N. Sadaoui, N. Gough, G. Dimirovski
{"title":"Computer-aided study of nonlinear systems using an input-output approach","authors":"N. Sadaoui, N. Gough, G. Dimirovski","doi":"10.1109/CDC.1991.261867","DOIUrl":"https://doi.org/10.1109/CDC.1991.261867","url":null,"abstract":"An approach to the computer-aided study of multivariable nonlinear and time-varying systems in the time-domain is outlined, the basis of modern input-output (I/O) theory of control systems. A theoretical justification of the approach is given, together with some observations on the representation problem. The concept of k-time sequence matrices is described. A new simulation language which has been specifically designed to implement this I/O methodology is discussed. An example illustrating one of the I/O representations is presented.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130739869","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}
引用次数: 3
Graphs of linear systems and stabilization 线性系统图与镇定
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261366
J. Sefton, R. Ober
{"title":"Graphs of linear systems and stabilization","authors":"J. Sefton, R. Ober","doi":"10.1109/CDC.1991.261366","DOIUrl":"https://doi.org/10.1109/CDC.1991.261366","url":null,"abstract":"The authors show how geometric ideas can be applied in control theory and in particular in robust control in order to give further insight into of fundamental issues. It is shown that stability criteria for control systems can be stated in terms of geometric notions in the Hilbert space. Two ways of modeling uncertainty in robust control have received a considerable amount of attention: uncertainty in the gap metric and coprime factor perturbations. The connection between these two uncertainty descriptions is discussed. A result is given that gives a full characterization of the maximal ball in the gap metric that can be stabilized by a controller.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133005537","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}
引用次数: 1
Robustness of an adaptive predictive controller 自适应预测控制器的鲁棒性
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261471
David W. Clarke, E. Mosca, R. Scattolini
{"title":"Robustness of an adaptive predictive controller","authors":"David W. Clarke, E. Mosca, R. Scattolini","doi":"10.1109/CDC.1991.261471","DOIUrl":"https://doi.org/10.1109/CDC.1991.261471","url":null,"abstract":"Robustness properties of an adaptive predictive controller are presented. The algorithm is obtained via a receding horizon control strategy by minimizing a quadratic performance index under the constraint that the terminal output sequence matches the reference over a suitable number of steps. The performances of both the nonadaptive and an adaptive version of the algorithm are examined in the case of unmodeled plant dynamics.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133011650","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}
引用次数: 45
A statistical perspective on state-space modeling using subspace methods 使用子空间方法的状态空间建模的统计观点
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261612
M. Viberg, B. Ottersten, B. Wahlberg, L. Ljung
{"title":"A statistical perspective on state-space modeling using subspace methods","authors":"M. Viberg, B. Ottersten, B. Wahlberg, L. Ljung","doi":"10.1109/CDC.1991.261612","DOIUrl":"https://doi.org/10.1109/CDC.1991.261612","url":null,"abstract":"The authors investigate aspects of subspace-based state-space identification techniques from a statistical perspective. They concentrate their efforts on a simple approach which is based on finding the range-space of the observability matrix of a state-space representation. The system description is then found using the shift-invariance property of the observability matrix. It is shown that this results in a consistent system description for multivariable output-error models if the measurement noise is white in time and independent from output to output. The asymptotic covariance of the estimated poles of the system is also derived. In the test case studied, the subspace technique performs comparably with the statistically efficient PE (prediction error) method, whereas the instrumental variable method does notably worse. Hence, the subspace technique may be a strong candidate for determining initial values for the optimization in the efficient PE method.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133608912","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}
引用次数: 52
Singular perturbations and time scales in artificial neural networks 人工神经网络中的奇异摄动和时间尺度
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261077
K. L. Moore, D. Naidu
{"title":"Singular perturbations and time scales in artificial neural networks","authors":"K. L. Moore, D. Naidu","doi":"10.1109/CDC.1991.261077","DOIUrl":"https://doi.org/10.1109/CDC.1991.261077","url":null,"abstract":"The learning and computing processes in a recursive neural network of the Hopfield type are identified as slow and fast phenomena. The corresponding dynamical equations are cast to fit into the framework of the theory of singular perturbations and time scales. The issues of degeneration and asymptotic expansions arising in obtaining approximate solutions are addressed.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"182 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133322354","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}
引用次数: 0
Discrete multivariable systems order reduction via Schur decomposition 离散多变量系统的舒尔分解降阶
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261494
C. Bottura, C. J. Munaro
{"title":"Discrete multivariable systems order reduction via Schur decomposition","authors":"C. Bottura, C. J. Munaro","doi":"10.1109/CDC.1991.261494","DOIUrl":"https://doi.org/10.1109/CDC.1991.261494","url":null,"abstract":"A novel technique for obtaining reduced-order dynamic models from high-order models is proposed. The technique uses Schur decomposition, which is an efficient and stable numerical procedure. Based on different assumptions about system modes, two methods for obtaining reduced-order models are developed. In the first method, the reduced model is derived directly from the Schur form. In the second method, it is necessary, in addition, to solve some algebraic equations to derive the reduced model. The order-reduction methods are applied to a discrete dynamic model.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133151587","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}
引用次数: 0
Small gain versus positive real modeling of real parameter uncertainty 小增益与真实参数不确定性的正真实建模
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.2514/3.20872
D. Bernstein, W. Haddad, D. Hyland
{"title":"Small gain versus positive real modeling of real parameter uncertainty","authors":"D. Bernstein, W. Haddad, D. Hyland","doi":"10.2514/3.20872","DOIUrl":"https://doi.org/10.2514/3.20872","url":null,"abstract":"The authors shown by means of a lightly damped oscillator example with uncertain stiffness that small gain modeling of constant real parameter uncertainty can be extremely conservative. This example was chosen to highlight inherent drawbacks of small-gain principles applied to the analysis of robust controllers for lightly damped flexible structures. If, for this class of problems, uncertainty in the stiffness operator, which may be relatively large, is modeled as a small gain H/sub infinity / block, then the arbitrary phase characteristics of the uncertainty block can contribute to a significant perturbation of the damping operator, which may be relatively small. An alternative uncertainty modeling approach involving positive real transfer functions and the positivity theorem is shown to be significantly less conservative.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128915384","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}
引用次数: 16
Convex analysis of discrete-time uncertain H/sub infinity / control problems 离散时间不确定H/次∞/控制问题的凸分析
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261360
P. Peres, J. Geromel, S. R. Souza
{"title":"Convex analysis of discrete-time uncertain H/sub infinity / control problems","authors":"P. Peres, J. Geromel, S. R. Souza","doi":"10.1109/CDC.1991.261360","DOIUrl":"https://doi.org/10.1109/CDC.1991.261360","url":null,"abstract":"Two classical problems involving discrete-time systems are analyzed. The first one concerns the quadratic stabilizability with uncertainties in convex bounded domains, which naturally covers the important class of interval matrices. In that problem, there is no need to introduce any kind of matching conditions, which is an important improvement compared with other results available in the literature. The second problem is defined by simply adding to the first problem some prespecified closed-loop transfer function H/sub infinity / norm bound. Assuming the state is available for feedback, the geometry of both problems is thoroughly analyzed. They turn out to be convex on the parameter space.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131408461","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}
引用次数: 8
Multivariable process identification based on frequency domain measures 基于频域测度的多变量过程辨识
[1991] Proceedings of the 30th IEEE Conference on Decision and Control Pub Date : 1991-12-11 DOI: 10.1109/CDC.1991.261311
Y.C. Zhu, A. Backx, P. Eykhoff
{"title":"Multivariable process identification based on frequency domain measures","authors":"Y.C. Zhu, A. Backx, P. Eykhoff","doi":"10.1109/CDC.1991.261311","DOIUrl":"https://doi.org/10.1109/CDC.1991.261311","url":null,"abstract":"Multi-input multi-output (MIMO) process identification is studied, where the purpose of identification is control system design. An identification procedure is presented by which one can estimate not only a nominal parametric process model, but also an upper bound of the model errors in the frequency domain. The basic steps of this method consists of high-order model estimation and subsequent model reduction. In this framework, fundamental problems such as input design and model structure selection can easily be solved. The method is also numerically simple and reliable. A simulation example is given to illustrate the method.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"282 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131689363","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}
引用次数: 11
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