{"title":"Stabilization and Realization of a Class of Generalized Linear Systems","authors":"Z. Lin","doi":"10.1109/ACC.1986.4172108","DOIUrl":"https://doi.org/10.1109/ACC.1986.4172108","url":null,"abstract":"Linear system over a principal ideal domain are referred to as generalized linear systems [1]. The class of generalized system considered here is linear time delay system (T9S) and systems depending on a parameter (SDP), which can be modelled by transfer matrices in two variables, say, G(s,z). This class of systs (or as a subset of linear systems over a co_utative ring) has received much attention in recent years (see [lj-[5] and references therein). In this short paper, the stabilization and realization of TDS and SDP are considered.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115569963","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}
{"title":"Stabilizing Uncertain Systems via an Observer","authors":"C. Hollot","doi":"10.23919/ACC.1986.4788994","DOIUrl":"https://doi.org/10.23919/ACC.1986.4788994","url":null,"abstract":"If an uncertain system is stabilizable via linear state feedback, can it be stabilized via dynamic output feedback? We address this question here and give an inequality, which when satisfied, leads to a stabilizing observer-based compensator.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"101 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116384808","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}
{"title":"New Nonlinear Filters and Exact Solutions of the Fokker-Planck Equation","authors":"F. Daum","doi":"10.1109/ACC.1986.4172092","DOIUrl":"https://doi.org/10.1109/ACC.1986.4172092","url":null,"abstract":"A new nonlinear filter is derived for continuous time processes with discrete time measurements. The filter is exact, and it can be implemented in real-time with a computational complexity that is comparable to the Kalman filter. This new filter includes both the Kalman filter and the discrete time version of the Bene¿ filter as special cases. Moreover, the new theory can handle a large class of nonlinear estimation problems that cannot be solved using the Kalman or discrete time Bene¿ filters. A new approximation technique is suggested for problems that do not satisfy the theoretical conditions exactly. This approximation is simple and straightforward, analogous to the extended Kalman filter.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116415900","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}
{"title":"A Hierarchical Decomposition for Large Scale Optimal Control Problems with Parallel Processing Capability","authors":"T. Chang, Shi-Chung Chang, P. Luh","doi":"10.23919/ACC.1986.4789254","DOIUrl":"https://doi.org/10.23919/ACC.1986.4789254","url":null,"abstract":"This paper presents a new method to decompose a large scale optimal control problem into a hierarchical optimization problem, in which low level subproblems have much shorter time horizon. The initial and final states of each subproblem are chosen as coordination parameters to glue all subproblems together. In such a decomposition, the high level problem is a parameter optimization problem, and subproblems are completely decoupled so that they can be solved in parallel. It is shown that the decomposed two-level optimization problem is equivalent to the original problem. Moreover, the high level problem is a convex parameter optimization problem if the original problem has a convex cost function and linear system dynamics. A parallel processing algorithm based on the gradient method for the high level problem is presented. A numerical example is used to illustrate the ideas and demonstrate the feasibility of the approach.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122297998","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}
{"title":"The Value of Simple Multivariable and Nonlinear Models in Process Control","authors":"C. Georgakis","doi":"10.23919/ACC.1986.4789116","DOIUrl":"https://doi.org/10.23919/ACC.1986.4789116","url":null,"abstract":"Simple conceptual or mathematical models have always been used in design of linear SISO process controllers. On the other hand the design of nonlinear or MIMO controllers has always been perceived as requiring a detailed dynamic model. This communication aims to show that, the use of simple models, can drastically affect the design of such controllers by suggesting a design framework that centers around the extensive variable of the process instead of the intensive one that are usually measured.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"207 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122432283","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}
{"title":"Multivariable Control of a Submersible using the LQG/LTR Design Methodology","authors":"Richard J. Martin, L. Valavani, M. Athans","doi":"10.23919/ACC.1986.4789133","DOIUrl":"https://doi.org/10.23919/ACC.1986.4789133","url":null,"abstract":"A multivariable feedback control system is designed for a submersible. The control variables are the bow, rudder, and differential stern control surfaces; these are dynamically coordinated so as to cause the vehicle to follow independent and simultaneous commanded changes in yaw rate, depth rate, pitch attitude, and roll angle. Two designs were evaluated using a nonlinear submersible simulation. One used all four control variables so that active roll control was possible. The other used only three control variables, and active roll control was not employed. Both feedback systems were designed using the Linear Quadratic Gaussian (LQG) with Loop Transfer Recovery (LTR) design methodology so as to meet similar design specifications in the frequency domain. Both the linearized models, and the non-linear simulation have shown that active roll control yields a very significant improvement in submersible performance. Active roll control minimized unwanted depth changes in difficult commanded trajectory scenarios.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122462748","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}
{"title":"Reachable Outputs in Systems with Bounded Parameter Uncertainties: Application to Failure Detection","authors":"D. Horak, D. Goblirsch","doi":"10.23919/ACC.1986.4788952","DOIUrl":"https://doi.org/10.23919/ACC.1986.4788952","url":null,"abstract":"A method for computing the intervals in which the outputs of a linear multivariable dynamic system with bounded parameter uncertainties and noise must lie has been developed. It utilizes Pontryagin's Maximum Principle and is recursive. Because of its computational efficiency it can be executed in real time and used for system and sensor failure detection in systems with parameter uncertainties. Failures are detected by testing if the measured outputs lie outside the computed intervals, indicating that the system cannot be described by the given model and the specified parameter uncertainty bounds. The method is illustrated by application to the longitudinal dynamics of the AFTI F-16 aircraft.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122085728","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}
{"title":"A New Formula for Partial Fraction Expansion of a Transfer Matrix","authors":"C. F. Chen, G. Freeman","doi":"10.23919/ACC.1986.4789276","DOIUrl":"https://doi.org/10.23919/ACC.1986.4789276","url":null,"abstract":"A new formula for matrix partial fraction expansion is established. It only involves the inversion of the product of Vandermonde and Stanley matrices with Kronecher expansion and the multiplication of the resulting matrix by the Rosenbrook coefficient matrix. It is much simpler than either the indirect method or methods based on the Lagrange-Sylvester interpolation.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129504695","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}
{"title":"Multivariable Singularly-Perturbed Systems with Small Time Delays","authors":"D. Luse","doi":"10.1109/ACC.1986.4172283","DOIUrl":"https://doi.org/10.1109/ACC.1986.4172283","url":null,"abstract":"It is well known that time delays, even + though very short, can cause instability + problems in some feedback loops. The H(s,c) problem seems to be worst when there are many high-frequency modes present [e.g. 1] In [2] the effect of small time delays on closed-loop system stability, for single variable systems, is determined by observing open-loop behavior at high Figure 1 frequency. This paper treats a related multivariable problem, outlined as follows. Let H(s,E) be the transfer matrix of the singularly-perturbed system (1).","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129605162","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}
{"title":"ARMA Spectral Estimation via Model Reduction","authors":"B. Wahlberg, B. Ottersten","doi":"10.23919/ACC.1986.4789191","DOIUrl":"https://doi.org/10.23919/ACC.1986.4789191","url":null,"abstract":"In this paper we study how to estimate autoregressive moving average (ARMA) processes via a high order autoregressive (AR) estimate and model reduction. The model reduction techniques considered are based on the L2-norm. internally balanced realizations, or the Hankelnorm. We apply this estimation technique to the problem of finding narrow-band signals in white noise.","PeriodicalId":266163,"journal":{"name":"1986 American Control Conference","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128417816","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}