Pub Date : 1900-01-01DOI: 10.1137/1.9781611973273.25
Jiacheng Wu, K. Cassel
A theoretical model of a potential treatment for intimal hyperplasia due to hemodialysis is proposed. This model consists of two parts. The first part is modeling the development of intimal hyperplasia as a diffusion process of muscle cells from the media to the lumen, for which the governing equation is a partial differential equation. The second part is designing an observer-based feedback controller to stabilize the equilibrium point of the system, corresponding to no intimal hyperplasia. Simulation results show that the intimal hyperplasia can be reduced by 90% in nearly 30 days of treatment.
{"title":"Observer-Based Feedback Control of a Mathematical Model of Intimal Hyperplasia","authors":"Jiacheng Wu, K. Cassel","doi":"10.1137/1.9781611973273.25","DOIUrl":"https://doi.org/10.1137/1.9781611973273.25","url":null,"abstract":"A theoretical model of a potential treatment for intimal hyperplasia due to hemodialysis is proposed. This model consists of two parts. The first part is modeling the development of intimal hyperplasia as a diffusion process of muscle cells from the media to the lumen, for which the governing equation is a partial differential equation. The second part is designing an observer-based feedback controller to stabilize the equilibrium point of the system, corresponding to no intimal hyperplasia. Simulation results show that the intimal hyperplasia can be reduced by 90% in nearly 30 days of treatment.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130569702","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 : 1900-01-01DOI: 10.1137/1.9781611974072.53
W. Halter, Nico Kress, Konrad Otte, Sabrina Reich, B. Hauer, F. Allgöwer
Bio-chemical reaction networks are more and more adapted to be used for the production of fine chemicals. Due to the appearance of intermediate species which influence the single reaction steps, a single compartment approach for the implementation of such a reaction may not be optimal. Multi-compartment approaches however might have the potential to increase the yield of desired product if the coupling of the compartments is chosen appropriately. A model based approach is presented to identify and analyze such coupling schemes for a specific enzyme cascade as an example system.
{"title":"Yield-Analysis of Different Coupling Schemes for Interconnected Bio-Reactors","authors":"W. Halter, Nico Kress, Konrad Otte, Sabrina Reich, B. Hauer, F. Allgöwer","doi":"10.1137/1.9781611974072.53","DOIUrl":"https://doi.org/10.1137/1.9781611974072.53","url":null,"abstract":"Bio-chemical reaction networks are more and more adapted to be used for the production of fine chemicals. Due to the appearance of intermediate species which influence the single reaction steps, a single compartment approach for the implementation of such a reaction may not be optimal. Multi-compartment approaches however might have the potential to increase the yield of desired product if the coupling of the compartments is chosen appropriately. A model based approach is presented to identify and analyze such coupling schemes for a specific enzyme cascade as an example system.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133215442","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 : 1900-01-01DOI: 10.1137/1.9781611974072.65
N. Kamran, S. Drakunov
In this paper we suggest a novel design of a nonlinear observer for distributed parameter system described by combination of partial differential equations and ordinary differential equations. The proposed observer is based on sliding mode that provides robustness to possible mismatches between the system model and the actual system. A formula for the observer gain is derived that guarantees stability and convergence of the distributed observer state to the actual system state. Several examples are considered that illustrate the approach.
{"title":"Observer Design for Distributed Parameter Systems","authors":"N. Kamran, S. Drakunov","doi":"10.1137/1.9781611974072.65","DOIUrl":"https://doi.org/10.1137/1.9781611974072.65","url":null,"abstract":"In this paper we suggest a novel design of a nonlinear observer for distributed parameter system described by combination of partial differential equations and ordinary differential equations. The proposed observer is based on sliding mode that provides robustness to possible mismatches between the system model and the actual system. A formula for the observer gain is derived that guarantees stability and convergence of the distributed observer state to the actual system state. Several examples are considered that illustrate the approach.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"10 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132400174","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 : 1900-01-01DOI: 10.1137/1.9781611974072.28
P. Pepe
A new methodology for the design of stabilizers in the sample-and-hold sense for nonlinear retarded systems is provided. It is shown that, if there exist a control LyapunovRazumikhin function and an induced steepest descent state feedback, uniformly in time bounded on bounded subsets of the state space, then such feedback, applied by suitably fast sampling and holding, guarantees practical semiglobal stability, with arbitrary small final target ball of the origin.
{"title":"Lyapunov-Razumikhin Methods for Stabilization in the Sample-and-Hold Sense of Retarded Nonlinear Systems","authors":"P. Pepe","doi":"10.1137/1.9781611974072.28","DOIUrl":"https://doi.org/10.1137/1.9781611974072.28","url":null,"abstract":"A new methodology for the design of stabilizers in the sample-and-hold sense for nonlinear retarded systems is provided. It is shown that, if there exist a control LyapunovRazumikhin function and an induced steepest descent state feedback, uniformly in time bounded on bounded subsets of the state space, then such feedback, applied by suitably fast sampling and holding, guarantees practical semiglobal stability, with arbitrary small final target ball of the origin.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122997115","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 : 1900-01-01DOI: 10.1137/1.9781611973273.15
Huan Zhang, P. Dower
Efficient Riccati equation based techniques for the approximate solution of discrete time linear regulator problems are restricted in their application to problems with quadratic terminal payoffs. Where non-quadratic terminal payoffs are required, these techniques fail due to the attendant nonquadratic value functions involved. In order to compute these non-quadratic value functions, it is often necessary to appeal directly to dynamic programming in the form of gridor element-based iterations for the value function. These iterations suffer from poor scalability with respect to problem dimension and time horizon. In this paper, a new max-plus based method is developed for the approximate solution of discrete time linear regulator problems with non-quadratic payoffs.
{"title":"A max-plus method for the approximate solution of discrete time linear regulator problems with non-quadratic terminal payoff","authors":"Huan Zhang, P. Dower","doi":"10.1137/1.9781611973273.15","DOIUrl":"https://doi.org/10.1137/1.9781611973273.15","url":null,"abstract":"Efficient Riccati equation based techniques for the approximate solution of discrete time linear regulator problems are restricted in their application to problems with quadratic terminal payoffs. Where non-quadratic terminal payoffs are required, these techniques fail due to the attendant nonquadratic value functions involved. In order to compute these non-quadratic value functions, it is often necessary to appeal directly to dynamic programming in the form of gridor element-based iterations for the value function. These iterations suffer from poor scalability with respect to problem dimension and time horizon. In this paper, a new max-plus based method is developed for the approximate solution of discrete time linear regulator problems with non-quadratic payoffs.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123522809","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 : 1900-01-01DOI: 10.1137/1.9781611973273.29
Azwirman Gusrialdi, Z. Qu
Communication networks provide a larger flexibility for control design of large-scale interconnected systems by allowing the information exchange between local controllers of the subsystems and may improve the overall system performance. However, it is not well understood how significant the role of the communication link is in improving the system performance and how the network structure influences the robustness of the interconnected system. In this paper, we first demonstrate via a numerical simulation that certain communication links of the distributed control play important role in improving the overall system performance. Next, based on eigenvalue sensitivity analysis, we characterize those links explicitly for interconnection of scalar identical subsystems with ring and uniform extended star physical topologies. We further apply the method to investigate the relation between network robustness and the physical interconnection topology under some local perturbations. It is observed that there exists a trade-off between designing an interconnected system with high robustness and low communication cost for the considered topologies.
{"title":"Accessing the Role of Communication Link and Node Robustness in Interconnected Systems via Eigenvalue Sensitivity","authors":"Azwirman Gusrialdi, Z. Qu","doi":"10.1137/1.9781611973273.29","DOIUrl":"https://doi.org/10.1137/1.9781611973273.29","url":null,"abstract":"Communication networks provide a larger flexibility for control design of large-scale interconnected systems by allowing the information exchange between local controllers of the subsystems and may improve the overall system performance. However, it is not well understood how significant the role of the communication link is in improving the system performance and how the network structure influences the robustness of the interconnected system. In this paper, we first demonstrate via a numerical simulation that certain communication links of the distributed control play important role in improving the overall system performance. Next, based on eigenvalue sensitivity analysis, we characterize those links explicitly for interconnection of scalar identical subsystems with ring and uniform extended star physical topologies. We further apply the method to investigate the relation between network robustness and the physical interconnection topology under some local perturbations. It is observed that there exists a trade-off between designing an interconnected system with high robustness and low communication cost for the considered topologies.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115619252","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 : 1900-01-01DOI: 10.1137/1.9781611974072.24
R. Vaccaro, P. Boufounos, M. Benosman
In this paper we study the problem of optimal zone coverage, using distributed sensing, i.e. a group of collaborating sensors. We formulate the problem as an optimization problem with time-varying cost function. We examine the case where a group of elevated imaging sensors look down to and form the map of a 2-dimensional environment at a pre-specified resolution. The sensors solve an optimization problem that attempts to optimize a time-varying cost function. The cost at any time instance measures the distance between the desired resolution function and the achieved resolution until the previous time instant. We discuss the numerical implementation challenges of this approach and demonstrate its performance on a numerical example.
{"title":"Resolution-Directed Optimization-based Distributed Sensing","authors":"R. Vaccaro, P. Boufounos, M. Benosman","doi":"10.1137/1.9781611974072.24","DOIUrl":"https://doi.org/10.1137/1.9781611974072.24","url":null,"abstract":"In this paper we study the problem of optimal zone coverage, using distributed sensing, i.e. a group of collaborating sensors. We formulate the problem as an optimization problem with time-varying cost function. We examine the case where a group of elevated imaging sensors look down to and form the map of a 2-dimensional environment at a pre-specified resolution. The sensors solve an optimization problem that attempts to optimize a time-varying cost function. The cost at any time instance measures the distance between the desired resolution function and the achieved resolution until the previous time instant. We discuss the numerical implementation challenges of this approach and demonstrate its performance on a numerical example.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121977045","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 : 1900-01-01DOI: 10.1137/1.9781611973273.24
Jason R. Scott, S. Campbell
Fault detection is an important part of most modern industrial systems and processes. One approach to fault detection is based on the use of observers. Many physical processes are most naturally modeled by differential algebraic equations. Recently there has been significant progress in the design of observers for complex differential algebraic equations. This paper examines the use of observers for fault detection in systems modeled by differential algebraic equations.
{"title":"Observer based fault detection in differential algebraic equations","authors":"Jason R. Scott, S. Campbell","doi":"10.1137/1.9781611973273.24","DOIUrl":"https://doi.org/10.1137/1.9781611973273.24","url":null,"abstract":"Fault detection is an important part of most modern industrial systems and processes. One approach to fault detection is based on the use of observers. Many physical processes are most naturally modeled by differential algebraic equations. Recently there has been significant progress in the design of observers for complex differential algebraic equations. This paper examines the use of observers for fault detection in systems modeled by differential algebraic equations.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117292907","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 : 1900-01-01DOI: 10.1137/1.9781611974072.45
H. Kazemi, A. Yazdizadeh, A. Aliabadi
This paper presents an inversion-based fault reconstruction approach for a wide class of nonlinear systems subject to an actuator or plant fault. If the nonlinear system has finite relative order with respect to the fault signal, the inverse system as an observer-based filter, reproduces the fault at its output. A simulation for a continuous-stirred tank reactor (CSTR) model include flow rate fault is used to illustrate the effectiveness of the proposed method.
{"title":"An Inversion-Based Fault Reconstruction Approach in Nonlinear Systems","authors":"H. Kazemi, A. Yazdizadeh, A. Aliabadi","doi":"10.1137/1.9781611974072.45","DOIUrl":"https://doi.org/10.1137/1.9781611974072.45","url":null,"abstract":"This paper presents an inversion-based fault reconstruction approach for a wide class of nonlinear systems subject to an actuator or plant fault. If the nonlinear system has finite relative order with respect to the fault signal, the inverse system as an observer-based filter, reproduces the fault at its output. A simulation for a continuous-stirred tank reactor (CSTR) model include flow rate fault is used to illustrate the effectiveness of the proposed method.","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116908989","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 : 1900-01-01DOI: 10.1137/1.9781611974072.35
Maude-Josée Blondin, P. Sicard, Javier Sanchis Sáez
Performance of optimization algorithms based on metaheuristics and/or based on derivative-free methods is highly dependent on its parameters. hen, in order to reach a quality solution as fast as possible, the algorithm has to be tuned adequately. A detailed statistical analysis of the system response quality found by Ant Colony Optimization (ACO) based algorithm with respect to discretization of the search space and the number of ants is presented for tuning 4 nonlinear controller structures. he resulting sensitivity curves permit to determine appropriate ACO parameter values to initiate the Nelder-Mead (NM) algorithm. A statistical study of NM convergence is also presented. Using the results of ACO and NM convergence studies has permited to reduce the average ACO-NM computation time by up to 7 times for an equivalent system response quality as compare to the previous
{"title":"Convergence analysis of hybrid ACO/Nelder-Mead tuning method for PID controller structures with anti-windup","authors":"Maude-Josée Blondin, P. Sicard, Javier Sanchis Sáez","doi":"10.1137/1.9781611974072.35","DOIUrl":"https://doi.org/10.1137/1.9781611974072.35","url":null,"abstract":"Performance of optimization algorithms based on metaheuristics and/or based on derivative-free methods is highly dependent on its parameters. hen, in order to reach a quality solution as fast as possible, the algorithm has to be tuned adequately. A detailed statistical analysis of the system response quality found by Ant Colony Optimization (ACO) based algorithm with respect to discretization of the search space and the number of ants is presented for tuning 4 nonlinear controller structures. he resulting sensitivity curves permit to determine appropriate ACO parameter values to initiate the Nelder-Mead (NM) algorithm. A statistical study of NM convergence is also presented. Using the results of ACO and NM convergence studies has permited to reduce the average ACO-NM computation time by up to 7 times for an equivalent system response quality as compare to the previous","PeriodicalId":193106,"journal":{"name":"SIAM Conf. on Control and its Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129916106","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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