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The Largest Stability Hypercube for Families of Polynomials with Linear Uncertainty 线性不确定多项式族的最大稳定性超立方
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790265
T. Djaferis
{"title":"The Largest Stability Hypercube for Families of Polynomials with Linear Uncertainty","authors":"T. Djaferis","doi":"10.23919/ACC.1989.4790265","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790265","url":null,"abstract":"Let ¿(s) = ¿<inf>0</inf>(s) = ¿<inf>0</inf>(s) + a<inf>1</inf> ¿<inf>1</inf>(s) + a<inf>2</inf>¿<inf>2</inf>(s) +...+ a<inf>k</inf>¿<inf>k</inf>(s) be a polynomial with coefficients that depend linearly on real parameters a<inf>i</inf>, 1 ¿ i ¿ k. Let ¿<inf>0</inf>(s) be stable of degree n and ¿<inf>i</inf>, 1 ¿ i ¿ k, of degree less than n. Assume that the a<inf>i</inf> are allowed to take values in the k dimensional hypercube ¿<inf>¿a</inf> = {(a<inf>1</inf>,...,a<inf>k</inf>)¿R<sup>k</sup>: a<sup>-</sup><inf>i</inf> ¿ a<inf>i</inf> ¿ ¿ a<sup>+</sup><inf>i</inf>}, where a<sup>-1</sup><inf>i</inf> ≪ 0, a<sup>+</sup><inf>i</inf> ≫ 0, 1 ¿ i ¿ k are fixed and ¿ ¿ 0. In this paper we consider the problem of how to compute the largest value ¿* such that the family is stable in ¿<inf>¿a</inf> for 0 ¿ ¿ ≪ ¿*. Considering the problem in the frequency domain, a function of frequency can be constructed whose infimum is ¿*. In this paper we show that to compute ¿* one need only consider the values of this function at a finite number of frequencies. The number of frequencies is polynomial in k, and the frequencies themselves are explicitly determined from the given data.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129416155","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
Sliding Mode Control of Automotive Powertrains with Uncertain Actuator Models 具有不确定作动器模型的汽车动力系统滑模控制
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790344
D. Cho, J. Hedrick
{"title":"Sliding Mode Control of Automotive Powertrains with Uncertain Actuator Models","authors":"D. Cho, J. Hedrick","doi":"10.23919/ACC.1989.4790344","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790344","url":null,"abstract":"An alternative formulation of the sliding mode control method for dealing with the uncertainties in actuator or control dynamics is presented in this paper. The advantages of the formulation are in the reduced computational requirements and simplified procedures for meeting robustness and performance requirements. The method is then applied to control an automotive powertrain system, whose dynamics are highly nonlinear. In particular, coordinating engine and transmission control variables to perform clutch-to-clutch shifts is illustrated. The design objectives are to provide smooth transients for passenger comfort and to reduce clutch energy dissipation requirements for component longevity. The robustness and performance characteristics of the designed controller are demonstrated for a case that involves neglected actuator dynamics, whose bandwidth is very close to the frequency of the controlled system dynamics.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129603499","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: 10
Optimization Models for Structural Analysis and Control Synthesis of Large Scale Systems 大型系统结构分析与控制综合的优化模型
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.1109/ACC.1989.4173213
A. Georgiou, C. Floudas
{"title":"Optimization Models for Structural Analysis and Control Synthesis of Large Scale Systems","authors":"A. Georgiou, C. Floudas","doi":"10.1109/ACC.1989.4173213","DOIUrl":"https://doi.org/10.1109/ACC.1989.4173213","url":null,"abstract":"The role of the structural properties of large scale systems for the synthesis of feasible control schemes is investigated in this paper. The feasibility of considering a state variable as an output (control objective) of a system is expressed via the concepts of multi-input connectability and structural functional controllability. It is shown, that these concepts can be formulated as mixed-integer linear programming (MILP) problems and efficient algorithms are presented for the determination of the above notions as well as for accessability and structural controllability. Two examples illustrate the concepts and the proposed approach.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129853416","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
Robust Deterministic Controller Design of a Two Degree of Freedom SCARA Manipulator 二自由度SCARA机械臂鲁棒确定性控制器设计
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790417
C. Kang, G. Leitmann, R. Horowitz
{"title":"Robust Deterministic Controller Design of a Two Degree of Freedom SCARA Manipulator","authors":"C. Kang, G. Leitmann, R. Horowitz","doi":"10.23919/ACC.1989.4790417","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790417","url":null,"abstract":"A robust deterministic control for a class of singularly perturbed uncertain systems, where uncertainties are characterized deterministically rather than stochastically, is developed based mainly on information available on an uncertain reduced-order system. The deterministic control scheme is applied to the motion control of a two degree of freedom, direct drive robotic SCARA manipulator. The manipulator has significant parasitic actuator and sensor dynamics. The parasitic dynamics are explicitly considered in the stability analysis of the deterministic controller using a singular perturbation model. Simulation studies are conducted to evaluate the effectiveness of the derived control scheme.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128454934","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: 4
Structured State Space Robustness with Connection to Eigenstructure Assignment 与特征结构赋值相关的结构状态空间鲁棒性
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790331
K. Sobel, S. Banda, H. Yeh
{"title":"Structured State Space Robustness with Connection to Eigenstructure Assignment","authors":"K. Sobel, S. Banda, H. Yeh","doi":"10.23919/ACC.1989.4790331","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790331","url":null,"abstract":"A recent sufficient condition for the stability robustness of linear systems with time-varying norm bounded state space uncertainty is extended to include the structure of the uncertainty. Our new result requires that the nominal eigenvalues lie to the left of a vertical line in the complex plane which is determined by a norm involving the structure of the uncertainty and the nominal closed loop eigenvector matrix. Therefore, this robustness result is especially well suited to the design of control systems using eigenstructure assignment. When the uncertainty is time-invariant, our norm is also an upper bound on the incremental eigenvalue perturbations. We also consider the use of Perron weightings to reduce conservatism and the extension of the results to discrete time systems.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128804439","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: 13
On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems 描述变量理论在线性时滞系统最优控制问题研究中的应用
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790544
E. Y. Ibrahim, V. Lovass-Nagy, R. Mukundan, D. L. Powers, R. Schilling
{"title":"On Application of Descriptor-Variable Theory to the Investigation of Optimal Control Problems of Linear Time-Delay Systems","authors":"E. Y. Ibrahim, V. Lovass-Nagy, R. Mukundan, D. L. Powers, R. Schilling","doi":"10.23919/ACC.1989.4790544","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790544","url":null,"abstract":"Linear time-invariant time-delay control systems are approximated by time-invariant descriptor-variable systems. The approximating descriptor-variable systems do not contain any time-delay but they are controlled by a linear combination of the input vector and some of its derivatives. Necessary conditions are derived for existence of optimal controls; a \"minimum energy\" optimal control problem is investigated in some detail.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128568670","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
Control of the Metal Rolling Process: A Multidimensional System Approach 金属轧制过程控制:多维系统方法
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790593
S. Foda, P. Agathoklis
{"title":"Control of the Metal Rolling Process: A Multidimensional System Approach","authors":"S. Foda, P. Agathoklis","doi":"10.23919/ACC.1989.4790593","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790593","url":null,"abstract":"The metal-rotting process is modelled as a delay differential system with noncommensurate delays. Stability conditions for delay differential systems have been recently developed using asymptotic stability tests and the Lyapunov approach. These results are applied to the stability analysis and stabilization of the metal rolling process. Conditions on the gains of finite dimensional controllers such as proportional plus derivative controllers are developed to ensure the stability of the controlled process against delay variations.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128622154","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: 26
Time-Domain Synthesis of Dual-Range Controller For Use With Nonlinear Systems 非线性系统双量程控制器的时域综合
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790472
A. Nassirharand, A. Patwardhan
{"title":"Time-Domain Synthesis of Dual-Range Controller For Use With Nonlinear Systems","authors":"A. Nassirharand, A. Patwardhan","doi":"10.23919/ACC.1989.4790472","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790472","url":null,"abstract":"In this paper we present a new procedure for synthesis of dual-range linear controllers for use with nonlinear systems as well as linear systems with integrity. The procedure uses a factorization approach coupled with nonlinear optimization. The procedure is demonstrated by solving an example problem.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123978825","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: 2
Synthesis of Control Systems : A New Approach to Output Structural Controllability 控制系统的综合:一种输出结构可控性的新方法
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790536
Xunguo Lin, M. Tadé, R. B. Newell
{"title":"Synthesis of Control Systems : A New Approach to Output Structural Controllability","authors":"Xunguo Lin, M. Tadé, R. B. Newell","doi":"10.23919/ACC.1989.4790536","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790536","url":null,"abstract":"Structural controllability is an important consideration in the synthesis of control systems. In this paper, the concept of output structural controllability is introduced and the condition for output structural controllability is proposed. Based on this condition, a new approach to the synthesis of control structures is described. The ease and flexibility of the output structural controllability condition in the synthesis of control systems for chemical plants is demonstrated.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"18 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120862875","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
Modeling and Robustness Issues in Control Design for Flexible Structures 柔性结构控制设计中的建模与鲁棒性问题
1989 American Control Conference Pub Date : 1989-06-21 DOI: 10.23919/ACC.1989.4790614
M. Safonov, H. Flashner
{"title":"Modeling and Robustness Issues in Control Design for Flexible Structures","authors":"M. Safonov, H. Flashner","doi":"10.23919/ACC.1989.4790614","DOIUrl":"https://doi.org/10.23919/ACC.1989.4790614","url":null,"abstract":"Recent flexible space structure control design studies have identified several important and to some extent surprising features of this class of problem suggesting that much simpler models than those obtained by traditional modal truncation methods may suffice for even very high bandwidth control systems. Implications regarding how one should do modeling and model order reduction for control and regarding how one may want to improve control design methods will be discussed.","PeriodicalId":383719,"journal":{"name":"1989 American Control Conference","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1989-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121156929","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
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