Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4790807
R. Zachery, S. Wang, I. Horowitz
An alternative method of designing controllers for nonlinear systems based on the Quantitative Feedback Theory is proposed. The controller includes a pipelined inverse to cancel the nonlinearities of the given system. An example is given to compare with previous results.
{"title":"A Non-Linear QFT Design with Pipelined Inverse","authors":"R. Zachery, S. Wang, I. Horowitz","doi":"10.23919/ACC.1990.4790807","DOIUrl":"https://doi.org/10.23919/ACC.1990.4790807","url":null,"abstract":"An alternative method of designing controllers for nonlinear systems based on the Quantitative Feedback Theory is proposed. The controller includes a pipelined inverse to cancel the nonlinearities of the given system. An example is given to compare with previous results.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"446 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116514132","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4791204
M. Solak
A method to evaluate robust G-stability of a given polynomial is proposed. The suggested approach allows a determination of a radius of a robust G-stability hypersphere containing all perturbations of a G-stable polynomial under consideration, which do not affect G-stability. The maximal stability hypersphere is considered as well.
{"title":"A Note on Robust G-Stability","authors":"M. Solak","doi":"10.23919/ACC.1990.4791204","DOIUrl":"https://doi.org/10.23919/ACC.1990.4791204","url":null,"abstract":"A method to evaluate robust G-stability of a given polynomial is proposed. The suggested approach allows a determination of a radius of a robust G-stability hypersphere containing all perturbations of a G-stable polynomial under consideration, which do not affect G-stability. The maximal stability hypersphere is considered as well.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121518261","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4791036
S. Bhat, D. Miu
The governing equations of point-to-point control problems are converted using Laplace transform from a set of linear ordinary differential equations into an equivalent set of linear algebraic equations embedded with the boundary conditions. A simple analytical procedure for evaluating open-loop control input using these algebraic equations is presented. A new concept of feedback control is also developed which involves a recursive evaluation of the open-loop control input.
{"title":"Solutions to Point-to-Point Control Problems using Laplace Transform Technique","authors":"S. Bhat, D. Miu","doi":"10.23919/ACC.1990.4791036","DOIUrl":"https://doi.org/10.23919/ACC.1990.4791036","url":null,"abstract":"The governing equations of point-to-point control problems are converted using Laplace transform from a set of linear ordinary differential equations into an equivalent set of linear algebraic equations embedded with the boundary conditions. A simple analytical procedure for evaluating open-loop control input using these algebraic equations is presented. A new concept of feedback control is also developed which involves a recursive evaluation of the open-loop control input.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121552859","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4791178
S.J. Williams, R. Hyde
This paper investigates the application of different H∞ design methods to multivariable flight control system design for a VSTOL aircraft. Designs are based on linearised models at an airspeed of 120 knots. Although based on linearised operating points a key issue considered is robust stability and robust performance of designs away from the design operating points. Four different design approaches are used. The first three approaches treat uncertainty as unstructured. Two of these optimise closed-loop objectives, and one specifies open-loop objectives. The fourth design uses a μ-synthesis approach which makes use of structured uncertainty information to optimise closed-loop objectives. The designs are evaluated using unstructured singular values and the structured singular value, μ.
{"title":"A comparison of different H/spl infin methods in VSTOL flight control system design","authors":"S.J. Williams, R. Hyde","doi":"10.23919/ACC.1990.4791178","DOIUrl":"https://doi.org/10.23919/ACC.1990.4791178","url":null,"abstract":"This paper investigates the application of different H∞ design methods to multivariable flight control system design for a VSTOL aircraft. Designs are based on linearised models at an airspeed of 120 knots. Although based on linearised operating points a key issue considered is robust stability and robust performance of designs away from the design operating points. Four different design approaches are used. The first three approaches treat uncertainty as unstructured. Two of these optimise closed-loop objectives, and one specifies open-loop objectives. The fourth design uses a μ-synthesis approach which makes use of structured uncertainty information to optimise closed-loop objectives. The designs are evaluated using unstructured singular values and the structured singular value, μ.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121559515","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}
Pub Date : 1990-05-23DOI: 10.1109/ACC.1990.4174304
D. Tang
A desensitized controller, using a quadratic sensitivity function approach, is developed to maintain a desired performance in the presence of process parameter variations. This controller is based on a perturbation sensitivity measure which is a combination of the trajectory sensitivity and the cost sensitivity. The theoretical results are presented and the design procedure is outlined. In an example, the controller is evaluated and the result is compared with that of a cost sensitivity approach and a linear quadratic regulator (LQR) design.
{"title":"The Design of a Desensitized Controller - A Sensitivity Function Approach","authors":"D. Tang","doi":"10.1109/ACC.1990.4174304","DOIUrl":"https://doi.org/10.1109/ACC.1990.4174304","url":null,"abstract":"A desensitized controller, using a quadratic sensitivity function approach, is developed to maintain a desired performance in the presence of process parameter variations. This controller is based on a perturbation sensitivity measure which is a combination of the trajectory sensitivity and the cost sensitivity. The theoretical results are presented and the design procedure is outlined. In an example, the controller is evaluated and the result is compared with that of a cost sensitivity approach and a linear quadratic regulator (LQR) design.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114808389","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4790975
C. Hsieh, J. H. Kim, R. Skelton
A design strategy which integrates model reduction by modal cost analysis and a multi-objective controller synthesis algorithm is applied to design controllers for NASA's Mini-Mast system. The necessary modeling and control algorithms are easily programmed in Matlab standard software. Hence, this method is very practical for controller design for large space structures. The design algorithm also presents a solution for the very important problem of "tuning" multiple loop controllers (MIMO).
{"title":"Closed Loop Lab Tests of NASA's Mini-Mast","authors":"C. Hsieh, J. H. Kim, R. Skelton","doi":"10.23919/ACC.1990.4790975","DOIUrl":"https://doi.org/10.23919/ACC.1990.4790975","url":null,"abstract":"A design strategy which integrates model reduction by modal cost analysis and a multi-objective controller synthesis algorithm is applied to design controllers for NASA's Mini-Mast system. The necessary modeling and control algorithms are easily programmed in Matlab standard software. Hence, this method is very practical for controller design for large space structures. The design algorithm also presents a solution for the very important problem of \"tuning\" multiple loop controllers (MIMO).","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124500466","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}
Pub Date : 1990-05-23DOI: 10.1109/ACC.1990.4174219
M. Samaan, T. Dahhou, I. Queinnec, M. M'Saad
Robust and performance oriented adaptive control has been developped on a variety of industrial plants and benchmarks (ACC88, ACC89) during the last few years. Nevertheless a general purpose adaptive control has many design parameters which have to be chosen depending on a priori information about the particular plant To overcome this difficulty, one can derive dedicated versions of adaptive control for specific classes of plants. In this paper, the SARTA general purpose adaptive control is experimented on a biotechnological continuous fermentation plant in order to design a class oriented adaptive control for the regulation of the substrate concentration. Alcoholic fermentation processes present many control problems due to their non-linear characteristics. The alcohol production dynamic depends on the substrate concentration which is a function of bacterial activity. Temperature and sourness factor can also alter this activity.
{"title":"Experimental Results in Adaptive Control of Biotechnological Processes","authors":"M. Samaan, T. Dahhou, I. Queinnec, M. M'Saad","doi":"10.1109/ACC.1990.4174219","DOIUrl":"https://doi.org/10.1109/ACC.1990.4174219","url":null,"abstract":"Robust and performance oriented adaptive control has been developped on a variety of industrial plants and benchmarks (ACC88, ACC89) during the last few years. Nevertheless a general purpose adaptive control has many design parameters which have to be chosen depending on a priori information about the particular plant To overcome this difficulty, one can derive dedicated versions of adaptive control for specific classes of plants. In this paper, the SARTA general purpose adaptive control is experimented on a biotechnological continuous fermentation plant in order to design a class oriented adaptive control for the regulation of the substrate concentration. Alcoholic fermentation processes present many control problems due to their non-linear characteristics. The alcohol production dynamic depends on the substrate concentration which is a function of bacterial activity. Temperature and sourness factor can also alter this activity.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127678536","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4790768
Duan Li
The Salukvadze's problem is to find a compromise solution of a multiobjective dynamic system. This paper considers a new solution approach to Salukvadze's problem. By forming an associated weighting form of the original multiobjective dynamic system, the Sulukvadze's solution is attained by a noninferior solution and is sought iteratively. Two major advantages of this new proposed approach are i) without adopting the state-augmentation, the approach thus avoids an increase of dimension in the solution procedure; and ii) the structure of linear-quadratic problems is preserved in the solution procedure, so analytical solutions can be obtained.
{"title":"A New Solution Approach to Salukvadze's Problem","authors":"Duan Li","doi":"10.23919/ACC.1990.4790768","DOIUrl":"https://doi.org/10.23919/ACC.1990.4790768","url":null,"abstract":"The Salukvadze's problem is to find a compromise solution of a multiobjective dynamic system. This paper considers a new solution approach to Salukvadze's problem. By forming an associated weighting form of the original multiobjective dynamic system, the Sulukvadze's solution is attained by a noninferior solution and is sought iteratively. Two major advantages of this new proposed approach are i) without adopting the state-augmentation, the approach thus avoids an increase of dimension in the solution procedure; and ii) the structure of linear-quadratic problems is preserved in the solution procedure, so analytical solutions can be obtained.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127789064","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4790813
Guanrong Chen, R. de Figueiredo
In this paper, we present a new approach for constructing left and right coprime factorizations for a large class of (stable and unstable) nonlinear feedback control systems developed recently by the authors [7], under relatively weak conditions. The coprime factorization under investigation here was formulated by Hammer mer [14]. We will describe the proposed constructive scheme for obtaining explicit and closed-form solutions. The same technique presented in this paper works also for the left coprime factorization for a class of nonlinear control systems described by standard vector-valued nonlinear ordinary differential equations formulated by Verma [20], which has been demonstrated in the authors' [6].
{"title":"On the Construction of Coprime Factorization of Nonlinear Feedback Control Systems","authors":"Guanrong Chen, R. de Figueiredo","doi":"10.23919/ACC.1990.4790813","DOIUrl":"https://doi.org/10.23919/ACC.1990.4790813","url":null,"abstract":"In this paper, we present a new approach for constructing left and right coprime factorizations for a large class of (stable and unstable) nonlinear feedback control systems developed recently by the authors [7], under relatively weak conditions. The coprime factorization under investigation here was formulated by Hammer mer [14]. We will describe the proposed constructive scheme for obtaining explicit and closed-form solutions. The same technique presented in this paper works also for the left coprime factorization for a class of nonlinear control systems described by standard vector-valued nonlinear ordinary differential equations formulated by Verma [20], which has been demonstrated in the authors' [6].","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126236275","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}
Pub Date : 1990-05-23DOI: 10.23919/ACC.1990.4790908
S. Ananthakrishnan, R. Fullmer
This paper describes the experimental application of a class of adaptive control algorithms to the control of hydraulic servosystem. These algorithms consist of direct and indirect ?odel Reference Adaptive Controllers (MEAC) and the Pole Assignment Adaptive Controller (PAAC) algorithms, as sumnarized by Goodwin and Sin [1]. In this approach, a deterministic, discrete-time model with unknown coefficients is assumed to describe the piston. An on-line least squares paramter estimation algorithm is used to generate model coefficient estimates, which are used with an on-line control design algorithm to create the adaptive controller. This approach is a logical extension of work perforwd by Finney et al. (2]. These algorithms were applied to four servovalve controlled long stroke pistons and rotary vane actuators. A primary motivation for using adaptive control approaches was to lower the positioning errors caused by friction during startup conditions. Tests using a proportional controller indicated a positional error of 0.96 mm (0.038 inch) for the pistons under "start-up* (low temperature oil) conditions due to nonlinear fictional effects. The rotary vane actuator was ic worse, with occasional errors of 0.120 radians over a 0.30 radian move.
{"title":"The Application of a Class of Adaptive Control Algorithms to Hydraulic Servosystems","authors":"S. Ananthakrishnan, R. Fullmer","doi":"10.23919/ACC.1990.4790908","DOIUrl":"https://doi.org/10.23919/ACC.1990.4790908","url":null,"abstract":"This paper describes the experimental application of a class of adaptive control algorithms to the control of hydraulic servosystem. These algorithms consist of direct and indirect ?odel Reference Adaptive Controllers (MEAC) and the Pole Assignment Adaptive Controller (PAAC) algorithms, as sumnarized by Goodwin and Sin [1]. In this approach, a deterministic, discrete-time model with unknown coefficients is assumed to describe the piston. An on-line least squares paramter estimation algorithm is used to generate model coefficient estimates, which are used with an on-line control design algorithm to create the adaptive controller. This approach is a logical extension of work perforwd by Finney et al. (2]. These algorithms were applied to four servovalve controlled long stroke pistons and rotary vane actuators. A primary motivation for using adaptive control approaches was to lower the positioning errors caused by friction during startup conditions. Tests using a proportional controller indicated a positional error of 0.96 mm (0.038 inch) for the pistons under \"start-up* (low temperature oil) conditions due to nonlinear fictional effects. The rotary vane actuator was ic worse, with occasional errors of 0.120 radians over a 0.30 radian move.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126248093","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}
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