A decomposition of the reachable subspace of the singular system Ex'(t)=Ax(t)+Bu(t) into m singly generated reachability subspaces is presented, where E,A,B are real matrices of dimensions n*n, n*n, n*m, respectively. It is not assumed that the system (E,A,B) is regular. This decomposition is used to derive canonical forms for controllable singular systems under the actions of the proportional and proportional-plus-derivative feedback groups.<>
{"title":"A complete classification of controllable singular systems","authors":"K. Ozcaldiran","doi":"10.1109/CDC.1990.203497","DOIUrl":"https://doi.org/10.1109/CDC.1990.203497","url":null,"abstract":"A decomposition of the reachable subspace of the singular system Ex'(t)=Ax(t)+Bu(t) into m singly generated reachability subspaces is presented, where E,A,B are real matrices of dimensions n*n, n*n, n*m, respectively. It is not assumed that the system (E,A,B) is regular. This decomposition is used to derive canonical forms for controllable singular systems under the actions of the proportional and proportional-plus-derivative feedback groups.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"768 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125413085","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}
An observer design methodology which is applicable to more general nonlinear stochastic system models is given. The method relies not on the optimization theory but on Lyapunov-type stochastic stability results which can guarantee a mean square exponential rate of convergence for the estimation error. It is proved that discrete- and continuous-time state estimation is possible using the method. An example is given to illustrate the performance of this observer relative to some of the most commonly used filters in this field.<>
{"title":"Lyapunov-based nonlinear observer, design for stochastic systems","authors":"E. Yaz, A. Azemi","doi":"10.1109/CDC.1990.203583","DOIUrl":"https://doi.org/10.1109/CDC.1990.203583","url":null,"abstract":"An observer design methodology which is applicable to more general nonlinear stochastic system models is given. The method relies not on the optimization theory but on Lyapunov-type stochastic stability results which can guarantee a mean square exponential rate of convergence for the estimation error. It is proved that discrete- and continuous-time state estimation is possible using the method. An example is given to illustrate the performance of this observer relative to some of the most commonly used filters in this field.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125433238","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}
The predictive first order hold circuit is introduced and analyzed. The main advantage of this hold circuit is that it gives a continuous control signal. Conditions for causality and a pole placement procedure are presented. Formulas for sampling a linear quadratic Gaussian (LQG) problem are given and are used to analyze an example where the predictive first order hold gives better performance than the best zero order hold control law.<>
{"title":"The predictive first order hold circuit","authors":"B. Bernhardsson","doi":"10.1109/CDC.1990.203948","DOIUrl":"https://doi.org/10.1109/CDC.1990.203948","url":null,"abstract":"The predictive first order hold circuit is introduced and analyzed. The main advantage of this hold circuit is that it gives a continuous control signal. Conditions for causality and a pole placement procedure are presented. Formulas for sampling a linear quadratic Gaussian (LQG) problem are given and are used to analyze an example where the predictive first order hold gives better performance than the best zero order hold control law.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125528626","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}
A new approach to the stability analysis of fuzzy linguistic control (FLC) systems is presented. Specifically, it is shown that the direct method of Lyapunov can be used to determine sufficient conditions for global stability of a broad class of fuzzy control schemes. Moreover, a measure of robustness is proposed that can be used to evaluate and possibly redesign a given fuzzy control system so as to enhance the range of its stable operation. Finally, the application of the proposed methodology is shown and its implications in terms of control design are demonstrated by means of numeric examples.<>
{"title":"Stability of fuzzy linguistic control systems","authors":"G. Langari, M. Tomizuka","doi":"10.1109/CDC.1990.204014","DOIUrl":"https://doi.org/10.1109/CDC.1990.204014","url":null,"abstract":"A new approach to the stability analysis of fuzzy linguistic control (FLC) systems is presented. Specifically, it is shown that the direct method of Lyapunov can be used to determine sufficient conditions for global stability of a broad class of fuzzy control schemes. Moreover, a measure of robustness is proposed that can be used to evaluate and possibly redesign a given fuzzy control system so as to enhance the range of its stable operation. Finally, the application of the proposed methodology is shown and its implications in terms of control design are demonstrated by means of numeric examples.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122301662","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}
Several elements of a control theory for discrete-event dynamic systems (DEDs) are described. It is assumed that the composition of two DEDSs which share some common events operates as it would with each system in isolation except that when a shared event occurs, it must occur in both systems. The authors focus on the ability of a DEDS to follow prescribed tracking event trajectories. A notion of resiliency, i.e. the ability of the DEDS to resume correct tracking after an error, is introduced. Restrictability compensators, task reachability, and aggregation are discussed.<>
{"title":"Tracking and restrictability in discrete-event dynamic systems","authors":"C. Ozveren, A. Willsky","doi":"10.1109/CDC.1990.203678","DOIUrl":"https://doi.org/10.1109/CDC.1990.203678","url":null,"abstract":"Several elements of a control theory for discrete-event dynamic systems (DEDs) are described. It is assumed that the composition of two DEDSs which share some common events operates as it would with each system in isolation except that when a shared event occurs, it must occur in both systems. The authors focus on the ability of a DEDS to follow prescribed tracking event trajectories. A notion of resiliency, i.e. the ability of the DEDS to resume correct tracking after an error, is introduced. Restrictability compensators, task reachability, and aggregation are discussed.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122433742","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}
The author explains how an adaptive pH controller deals with multiple reagents in a comparatively simple fashion. The titration curve is divided into separate reagent and waste stream models, allowing 'plug-in' reagent changes. The controller can perform online identification of a single waste stream model, combining data gathered with any number of different reagents. The controller runs in a standard Bailey NETWORK 90 DCS, and has been pilot-plant-tested with good results.<>
{"title":"Online adaptive pH control with multiple reagents","authors":"M. Gulaian","doi":"10.1109/CDC.1990.203288","DOIUrl":"https://doi.org/10.1109/CDC.1990.203288","url":null,"abstract":"The author explains how an adaptive pH controller deals with multiple reagents in a comparatively simple fashion. The titration curve is divided into separate reagent and waste stream models, allowing 'plug-in' reagent changes. The controller can perform online identification of a single waste stream model, combining data gathered with any number of different reagents. The controller runs in a standard Bailey NETWORK 90 DCS, and has been pilot-plant-tested with good results.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"121 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122574197","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":"Output feedback pole placement and R-degeneracy of linear systems","authors":"X. Wang","doi":"10.1109/CDC.1990.203943","DOIUrl":"https://doi.org/10.1109/CDC.1990.203943","url":null,"abstract":"It is proved that for generic p*m linear systems of McMillan degree n, mp>n implies generic pole assignability by constant output feedback laws.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"31 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122464242","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}
The modeling of torque-ripple in hybrid step motors and its cancellation using adaptive linearization control are discussed. Although the nonlinear adaptive control of this problem can fit into a general framework, a representation of the torque-ripple which reduces the number of adapted parameters per torque-ripple harmonic by half is used. By doing so, it is possible to prove conditions on exogenous signals to guarantee the persistency of excitation of the regressor, and hence the exponential stability of the unperturbed system. It is shown that the adaptive system is robust to a class of state- and parameter-dependent modeling errors and disturbances even when the adaptation gain and convergence rate of the unperturbed system become small. The adapted parameter errors are proved to converge to a neighborhood of zero whose radius can be made small by slow adaptation. The proposed control scheme is verified in an experiment in which a 32-dB reduction in torque-ripple component at the rotor pole frequency is observed.<>
{"title":"Nonlinear adaptive torque-ripple cancellation for step motors","authors":"D. Chen, B. Paden","doi":"10.1109/CDC.1990.203409","DOIUrl":"https://doi.org/10.1109/CDC.1990.203409","url":null,"abstract":"The modeling of torque-ripple in hybrid step motors and its cancellation using adaptive linearization control are discussed. Although the nonlinear adaptive control of this problem can fit into a general framework, a representation of the torque-ripple which reduces the number of adapted parameters per torque-ripple harmonic by half is used. By doing so, it is possible to prove conditions on exogenous signals to guarantee the persistency of excitation of the regressor, and hence the exponential stability of the unperturbed system. It is shown that the adaptive system is robust to a class of state- and parameter-dependent modeling errors and disturbances even when the adaptation gain and convergence rate of the unperturbed system become small. The adapted parameter errors are proved to converge to a neighborhood of zero whose radius can be made small by slow adaptation. The proposed control scheme is verified in an experiment in which a 32-dB reduction in torque-ripple component at the rotor pole frequency is observed.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122911468","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}
Functional requirements for airborne windshear detection and warning systems are discussed in terms of the threat posed to civil aircraft operations. A preliminary set of performance criteria for predictive windshear detection and warning systems is defined. Candidate airborne remote sensor technologies based on microwave Doppler radar, Doppler laser radar (lidar), and infrared radiometric techniques are discussed in the context of overall system requirements, and the performance of each sensor is assessed for representative microburst environments and ground clutter conditions. Preliminary simulation results demonstrate that all three sensors show potential for detecting windshear, and provide adequate warning time to allow flight crews to avoid the affected area or escape from the encounter. Radar simulation and analysis show that by using bin-to-bin automatic gain control, clutter filtering, limited detection range, and suitable antenna tilt management, windshear from wet microbursts can be accurately detected. Simulation results of end-to-end performance for competing coherent lidar systems are presented.<>
{"title":"Windshear detection and avoidance: airborne systems survey","authors":"R. Bowles","doi":"10.1109/CDC.1990.203685","DOIUrl":"https://doi.org/10.1109/CDC.1990.203685","url":null,"abstract":"Functional requirements for airborne windshear detection and warning systems are discussed in terms of the threat posed to civil aircraft operations. A preliminary set of performance criteria for predictive windshear detection and warning systems is defined. Candidate airborne remote sensor technologies based on microwave Doppler radar, Doppler laser radar (lidar), and infrared radiometric techniques are discussed in the context of overall system requirements, and the performance of each sensor is assessed for representative microburst environments and ground clutter conditions. Preliminary simulation results demonstrate that all three sensors show potential for detecting windshear, and provide adequate warning time to allow flight crews to avoid the affected area or escape from the encounter. Radar simulation and analysis show that by using bin-to-bin automatic gain control, clutter filtering, limited detection range, and suitable antenna tilt management, windshear from wet microbursts can be accurately detected. Simulation results of end-to-end performance for competing coherent lidar systems are presented.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"13 35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122957800","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}
A sufficient condition is obtained for the robust stability of a linear time-invariant (LTI) plant with simultaneous time-varying structured state space uncertainty and unmodeled dynamics. The time-domain analysis results of robust constant gain output feedback are explicitly in terms of the closed-loop eigenvalues and eigenvectors and are well suited to the design of robust eigenstructure assignment controllers.<>
{"title":"A time approach to robustness of LTI systems with structured uncertainty and unmodelled dynamics","authors":"K. Sobel, J. Piou, W. Yu, E. Shapiro, R. Wilson","doi":"10.1109/CDC.1990.203635","DOIUrl":"https://doi.org/10.1109/CDC.1990.203635","url":null,"abstract":"A sufficient condition is obtained for the robust stability of a linear time-invariant (LTI) plant with simultaneous time-varying structured state space uncertainty and unmodeled dynamics. The time-domain analysis results of robust constant gain output feedback are explicitly in terms of the closed-loop eigenvalues and eigenvectors and are well suited to the design of robust eigenstructure assignment controllers.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123000338","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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