Data pre-filtering, i.e. filtering both the input and output data with an identical scalar filter, is a useful tool in the identification of linear time-invariant systems but is generally not applicable to nonlinear system identification. We show that, if the correlation approach is used to identify Wiener models, which are nonlinear, pre-filtering can be used if the input excitation is Gaussian.
{"title":"Identification of Wiener models with data pre-filtering","authors":"C. T. Chou, M. Verhaegen","doi":"10.1109/CDC.1999.832850","DOIUrl":"https://doi.org/10.1109/CDC.1999.832850","url":null,"abstract":"Data pre-filtering, i.e. filtering both the input and output data with an identical scalar filter, is a useful tool in the identification of linear time-invariant systems but is generally not applicable to nonlinear system identification. We show that, if the correlation approach is used to identify Wiener models, which are nonlinear, pre-filtering can be used if the input excitation is Gaussian.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114227574","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}
Presents a solution to the sampled-data H/sup /spl infin// control problem when the sampling function, the discrete-time controller and the hold function are all design parameters. The generalized sampling and hold functions are constrained to have piecewise impulse and piecewise constant waveforms, respectively. The resulting sampling and hold devices improve the control performance over that based on a zero-order-hold and on an ideal sampler, yet they are readily implementable on digital hardware, in contrast to the unconstrained ones.
{"title":"Incorporating waveform constraints in optimal design of sampling and hold functions","authors":"Allan C. Kahane, L. Mirkin, Z. Palmor","doi":"10.1109/CDC.1999.827967","DOIUrl":"https://doi.org/10.1109/CDC.1999.827967","url":null,"abstract":"Presents a solution to the sampled-data H/sup /spl infin// control problem when the sampling function, the discrete-time controller and the hold function are all design parameters. The generalized sampling and hold functions are constrained to have piecewise impulse and piecewise constant waveforms, respectively. The resulting sampling and hold devices improve the control performance over that based on a zero-order-hold and on an ideal sampler, yet they are readily implementable on digital hardware, in contrast to the unconstrained ones.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114312683","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}
Nonlinear H/sub /spl infin//-controller synthesis is developed for time-varying systems via measurement feedback. Both global and local solutions of the problem are derived. The global solution is based on a solution to appropriate strict Hamilton-Jacobi-Isaacs inequalities, whereas the local solution is derived by means of a certain perturbation of the Riccati equations used in solving the linear H/sub /spl infin//-control problem for the linearized system.
{"title":"Nonlinear H/sub /spl infin//-control of time-varying systems","authors":"Y. Orlov, L. Acho, V. Solis","doi":"10.1109/CDC.1999.827940","DOIUrl":"https://doi.org/10.1109/CDC.1999.827940","url":null,"abstract":"Nonlinear H/sub /spl infin//-controller synthesis is developed for time-varying systems via measurement feedback. Both global and local solutions of the problem are derived. The global solution is based on a solution to appropriate strict Hamilton-Jacobi-Isaacs inequalities, whereas the local solution is derived by means of a certain perturbation of the Riccati equations used in solving the linear H/sub /spl infin//-control problem for the linearized system.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114523295","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}
In this paper, a new best linear unbiased estimation (BLUE) finite impulse response (FIR) filter called the BLUE FIR filter is proposed for discrete-time state space signal models with system noises and inputs. The proposed BLUE FIR filter is a linear function of only the finite measurements and inputs on the most recent horizon, does not require a priori information about the horizon initial state, and has both unbiasedness and efficiency properties. The proposed BLUE FIR filter has time-invariance and dead-beat properties. The proposed BLUE FIR filter is represented in batch form and then iterative form for computational advantage. It is shown to be equivalent to the existing receding horizon (RH) FIR filter with completely unknown horizon initial state, whose efficiency was difficult to obtain and was thus unknown.
{"title":"Best linear unbiased estimation filters with FIR structures for state space signal models","authors":"W. Kwon, P. Kim, Soohee Han","doi":"10.1109/CDC.1999.830181","DOIUrl":"https://doi.org/10.1109/CDC.1999.830181","url":null,"abstract":"In this paper, a new best linear unbiased estimation (BLUE) finite impulse response (FIR) filter called the BLUE FIR filter is proposed for discrete-time state space signal models with system noises and inputs. The proposed BLUE FIR filter is a linear function of only the finite measurements and inputs on the most recent horizon, does not require a priori information about the horizon initial state, and has both unbiasedness and efficiency properties. The proposed BLUE FIR filter has time-invariance and dead-beat properties. The proposed BLUE FIR filter is represented in batch form and then iterative form for computational advantage. It is shown to be equivalent to the existing receding horizon (RH) FIR filter with completely unknown horizon initial state, whose efficiency was difficult to obtain and was thus unknown.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"9 20","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114010524","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}
This paper presents universal trajectory tracking control for fuzzy descriptor systems. A new parallel distributed compensation, the twin parallel distributed compensations (TPDC), to realize the trajectory tracking control is proposed. The TPDC fuzzy controller mirrors the structures of the fuzzy descriptor systems that represent a nonlinear system and a nonlinear reference model. We present a design technique based on the TPDC. All the design conditions are represented in terms of LMI. The proposed method is a unified approach to trajectory tracking control. It contains the regulation and servo control problems as special cases. Finally, design examples are illustrated to show the utility of the trajectory tracking control.
{"title":"Universal trajectory tracking control using fuzzy descriptor systems","authors":"T. Tadanari, K. Tanaka, H.O. Wang","doi":"10.1109/CDC.1999.833311","DOIUrl":"https://doi.org/10.1109/CDC.1999.833311","url":null,"abstract":"This paper presents universal trajectory tracking control for fuzzy descriptor systems. A new parallel distributed compensation, the twin parallel distributed compensations (TPDC), to realize the trajectory tracking control is proposed. The TPDC fuzzy controller mirrors the structures of the fuzzy descriptor systems that represent a nonlinear system and a nonlinear reference model. We present a design technique based on the TPDC. All the design conditions are represented in terms of LMI. The proposed method is a unified approach to trajectory tracking control. It contains the regulation and servo control problems as special cases. Finally, design examples are illustrated to show the utility of the trajectory tracking control.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124481354","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}
Classification of stabilizability via smooth state feedback is obtained for multi-input nonlinear dynamical systems possessing a steady-state or Hopf bifurcation with the critical mode being linearly uncontrollable and all other modes being linearly controllable.
{"title":"Feedback stabilization of steady-state and Hopf bifurcations: the multi-input case","authors":"Y. Wang, R. M. Murray","doi":"10.1109/CDC.1999.832870","DOIUrl":"https://doi.org/10.1109/CDC.1999.832870","url":null,"abstract":"Classification of stabilizability via smooth state feedback is obtained for multi-input nonlinear dynamical systems possessing a steady-state or Hopf bifurcation with the critical mode being linearly uncontrollable and all other modes being linearly controllable.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124497087","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}
We propose a new control strategy which uses quantized sampled data of the states (i.e., incomplete knowledge of the states) with quantizer sensitivities that vary (i.e., depend on the values of the states) as the system evolves. The resulting closed-loop system may be viewed as a hybrid system that incorporates discrete event driven data that act upon the continuous-time component (the plant) of the entire system. For linear systems that are stabilizable by linear time-invariant feedback, we propose a quantized sampled-data control policy which globally and exponentially stabilizes the systems. Furthermore, we show that by appropriately choosing the saturation levels, the proposed control policy is robust in the presence of certain classes of perturbations. We also study the local stabilization and robustness problems for nonlinear control systems via linearization.
{"title":"Quantized sampled-data feedback stabilization for linear and nonlinear control systems","authors":"Bo Hu, Zhaoshu Feng, A. Michel","doi":"10.1109/CDC.1999.833234","DOIUrl":"https://doi.org/10.1109/CDC.1999.833234","url":null,"abstract":"We propose a new control strategy which uses quantized sampled data of the states (i.e., incomplete knowledge of the states) with quantizer sensitivities that vary (i.e., depend on the values of the states) as the system evolves. The resulting closed-loop system may be viewed as a hybrid system that incorporates discrete event driven data that act upon the continuous-time component (the plant) of the entire system. For linear systems that are stabilizable by linear time-invariant feedback, we propose a quantized sampled-data control policy which globally and exponentially stabilizes the systems. Furthermore, we show that by appropriately choosing the saturation levels, the proposed control policy is robust in the presence of certain classes of perturbations. We also study the local stabilization and robustness problems for nonlinear control systems via linearization.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124052198","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}
This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.
{"title":"Stability and stabilization of Takagi-Sugeno fuzzy systems","authors":"M. Akar, U. Ozguner","doi":"10.1109/CDC.1999.833309","DOIUrl":"https://doi.org/10.1109/CDC.1999.833309","url":null,"abstract":"This paper discusses stability and stabilization of discrete-time and continuous-time Takagi-Sugeno fuzzy systems. Conditions on stability of the open-loop fuzzy system are derived via the concepts of vector Lyapunov functions and M-matrices. Two different quadratic and norm-like Lyapunov functions are employed for the subsystems to derive conditions on stability of the fuzzy system. Unlike continuous time fuzzy system, different Lyapunov functions generate different results for discrete-time fuzzy systems, quadratic Lyapunov generating the superior of the two. Following a similar approach, stabilization of the open-loop fuzzy system using local parallel distributed compensators is investigated.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126461650","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 controller for throttle and spark advance to control the engine speed at idle under unknown time varying disturbances is proposed in this paper. By using measurements of the engine speed the disturbance estimator is designed to reconstruct a disturbance torque. The controller is formulated so that the throttle is used as much as possible as a main tool to produce a torque and spark advance is used to compensate intake to torque production delay. The stability of the system is proved via the Lyapunov method.
{"title":"Variable structure control of engine idle speed with estimation of unmeasurable disturbances","authors":"Alexander Stotsky, B. Egardt, Sören Eriksson","doi":"10.1109/CDC.1999.832796","DOIUrl":"https://doi.org/10.1109/CDC.1999.832796","url":null,"abstract":"A new controller for throttle and spark advance to control the engine speed at idle under unknown time varying disturbances is proposed in this paper. By using measurements of the engine speed the disturbance estimator is designed to reconstruct a disturbance torque. The controller is formulated so that the throttle is used as much as possible as a main tool to produce a torque and spark advance is used to compensate intake to torque production delay. The stability of the system is proved via the Lyapunov method.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128142580","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}
Nonaxisymmetric air injection control of stall is studied. Three existing control algorithms found in literature are modeled and analyzed. A three-state model is obtained for each algorithm. For two cases, conditions for linear stability and bifurcation criticality on control of rotating stall are derived and expressed in terms of implementation-oriented variables such as number of injectors. For the third case, bifurcation criticality conditions are not obtained due to complexity, though linear stability property is derived. A theoretical comparison between the three algorithms is made via the use of low-order models to investigate pros and cons of the algorithms in the context of operability.
{"title":"Theoretical comparison of non-axisymmetric air injection control of rotating stall on axial flow compressors","authors":"S. Yeung, R. M. Murray","doi":"10.1109/CDC.1999.827768","DOIUrl":"https://doi.org/10.1109/CDC.1999.827768","url":null,"abstract":"Nonaxisymmetric air injection control of stall is studied. Three existing control algorithms found in literature are modeled and analyzed. A three-state model is obtained for each algorithm. For two cases, conditions for linear stability and bifurcation criticality on control of rotating stall are derived and expressed in terms of implementation-oriented variables such as number of injectors. For the third case, bifurcation criticality conditions are not obtained due to complexity, though linear stability property is derived. A theoretical comparison between the three algorithms is made via the use of low-order models to investigate pros and cons of the algorithms in the context of operability.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125657994","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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