{"title":"On partially controlled Petri nets that can be made live by supervision","authors":"R. Sreenivas","doi":"10.1109/CDC.2003.1271729","DOIUrl":"https://doi.org/10.1109/CDC.2003.1271729","url":null,"abstract":"The existence of a supervisory policy that enforces liveness in partially controlled Petri nets (PNs) is undecidable in general (cf. theorem 5.3 and corollary 5.2,). However, there can be families of partially controlled PNs for which the existence of a supervisory policy that enforces liveness can be tested and synthesized. In this paper we present choice-controlled PNs as an example of such a family. Also, there can be specific examples of partially controlled PNs that be made live by supervision. Typically, this is shown by producing a supervisory policy that enforces liveness in the example at hand. There can be no generalization of this approach in light of theorem 5.3 and corollary 5.2 in reference. However, for partially controlled Free-Choice PNs, there is a necessary and sufficient characterization of supervisory policies that enforce liveness. In specific, the necessary and sufficient condition for the existence of a supervisory policy that enforces liveness in a fully controlled Free-Choice Petri Net (FCPN) in reference also holds for partially controlled FCPNs. This condition can be used to verify that a given supervisory policy does enforce liveness in a specific partially controlled FCPN.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121168643","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":"Actuator faults and the linear quadratic control problem","authors":"M. Staroswiecki","doi":"10.1109/CDC.2003.1272691","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272691","url":null,"abstract":"Linear quadratic (LQ) problems are very popular for control design. In this paper, the LQ problem is analyzed with respect to the possible occurrence of actuator faults. It is shown that fault tolerance can only be defined when admissible (instead of optimal) solutions are considered. Conditions for a fault to be possibly tolerated are given both for the fault accommodation and for the system reconfiguration strategies.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121267024","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":"On the optimal control of hybrid systems: analysis and zonal algorithms for trajectory and schedule optimization","authors":"M. S. Shaikh, P. Caines","doi":"10.1109/CDC.2003.1272935","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272935","url":null,"abstract":"In [M.S. Shaikh, et al., 2002, April 2003, 2003] a class of hybrid optimal control problems was formulated and a set of necessary conditions for hybrid system trajectory optimally was presented. Employing these conditions, we presented and analyzed a class of general hybrid maximum principle (HMP) based algorithms for hybrid systems optimization. In this paper it is first shown how the HMP algorithm class can be extended with discrete search algorithms, which find locally optimal switching schedules and their associated, switching times. We then present the notion of optimality zones; these zones have a well defined geometrical structure and once they have been computed (or approximated) they permit the exponential complexity search for optimal schedule sequences of the first method to be reduced to a complexity level which under reasonable hypotheses is proportional to the number of zones. The algorithm HMP[Z] which performs this optimization is essentially a minor modification of the HMP algorithm and permits one to reach the global optimum in a single run of the HMP[MCS] algorithm. The efficacy of the proposed algorithms is illustrated via computational examples.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121415315","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":"Piecewise linear systems in economic models","authors":"A. Martinez","doi":"10.1109/CDC.2003.1272280","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272280","url":null,"abstract":"We construct a market where agents make decisions to buy or sell stocks and bonds. Agents make decisions based on a convex optimization problem with a risk-sensitive utility as the objective function. The solutions to each optimization problem are piecewise linear demands for the securities. We use a discrete time map for price dynamics of the stock such that price changes are proportional to excess demand. The sum of all agent stock demands is the stock excess demand and in our case also a piecewise linear function. The dynamics of the stock price are given by a discrete time piecewise linear system (PLS). We analyze stability of a one stock one bond market PLS, give sufficient conditions for global stability and characterize the origins of unstable complex price dynamics. The multi-security market problem is derived and the dependence on parameters of the basins of attraction for an equilibrium price and periodic orbits is discussed.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121509803","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":"Finite time control via output feedback: a general approach","authors":"F. Amato, M. Ariola, C. Cosentino","doi":"10.1109/CDC.2003.1272586","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272586","url":null,"abstract":"This paper deals with the finite time control of linear systems subject to exogenous inputs. Previous works establish sufficient conditions for finite time stabilization via state feedback in terms of LMIs based optimization. An approach to solve the more challenging output feedback problem has been recently proposed in the literature. The drawback of this last result is that the controller design is performed in two phases (static state feedback and observer) and therefore it does not exploit the possibilities offered by the design performed in one step. In this context the main result of this paper is a sufficient condition guaranteeing the finite time stabilizability via output feedback; such condition, which looks at the dynamic controller as a whole, can be converted into a feasibility problem involving LMIs. An example illustrates the proposed methodology.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124465218","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":"Gain-scheduling of minimax optimal state-feedback controllers for uncertain linear parameter-varying systems","authors":"M. Yoon, V. Ugrinovskii, M. Pszczel","doi":"10.1109/CDC.2003.1272247","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272247","url":null,"abstract":"This paper presents a gain-scheduling of minimax optimal controllers for a general class of uncertain linear parameter-varying (LPV) systems. The proposed gain-scheduled controller consists of a set of minimax optimal controllers designed for several operating points and incorporates a new interpolation rule to achieve the continuity of the controller gain over a range of operating conditions. It is shown that for every fixed system parameter, the proposed controller guarantees a certain bound on the worst-case performance of the corresponding uncertain closed loop system. Furthermore, it is shown that the closed loop LPV system is robustly stable provided that the rate of parameter variations satisfies a given bound. A numerical example is presented to illustrate the proposed design procedure.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124105514","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 time-limited balanced reduction method","authors":"S. Gugercin, A. Antoulas","doi":"10.1109/CDC.2003.1272471","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272471","url":null,"abstract":"In this paper, we introduce a time-limited balanced reduction method based on time-domain representations of the system gramians. The method guarantees stability and yields a simple /spl Hscr/;/sub /spl infin// error bound. A numerical example is illustrated to examine the efficiency of the proposed method.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"111 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126445892","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":"Sampling random transfer functions","authors":"C. Lagoa, Xiang Li, M. C. Mazzaro, M. Sznaier","doi":"10.1109/CDC.2003.1272984","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272984","url":null,"abstract":"Recently, considerable attention has been paid to the use of probabilistic algorithms for analysis and design of robust control systems. However, since these algorithms require the generation of random samples of the uncertain parameters, their application has been mostly limited to the case of parametric uncertainty. Notable exceptions to this limitation are the algorithm for generating FIR transfer functions in Lagoa et al. and the algorithm for generating random fixed order state space representations in Calafiore et al. In this paper, we provide the means for further extending the use of probabilistic algorithms for the case of dynamic causal uncertain parameters. More precisely, we exploit both time and frequency domain characterizations to develop efficient algorithms for generation of random samples of causal, linear time-invariant uncertain transfer functions. The usefulness of these tools are illustrated by developing an algorithm for solving some multi-disk problems arising in the context of synthesizing robust controllers for systems subject to structured dynamic uncertainty.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126446416","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":"Optimal nonlinear transient control with neuro-AVR of single-machine infinite-bus power systems","authors":"M. Yazdanpanah, Mahdi Jalili Kharaajoo","doi":"10.1109/CDC.2003.1272778","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272778","url":null,"abstract":"In this paper, a method to design a nonlinear optimal controller using approximate solution of the HJB equation is presented. Using this method, the power system stabilizer is designed. In order to regulate generator terminal voltage to its nominal value, we use a simple neuro-automatic voltage regulator. The final control action is the sum of nonlinear optimal controller and neuro-voltage regulator. Also, the advantages of the controller with nonlinear feedback in some grounds like increasing domain of validity of the system are shown. Simulation results show that the nonlinear control action exhibits a better performance compared to that of corresponding linear counter part. As a result, the fault tolerance of the system using the nonlinear control law is increased. Also, the proposed voltage regulator, which can be trained on-line, shows satisfactory performance.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"91 8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128018843","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":"Control of pendulum: from Super Mechano-System to Human Adaptive Mechatronics","authors":"K. Furuta","doi":"10.1109/CDC.2003.1272824","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272824","url":null,"abstract":"The Super Mechano-System was the research project at the Tokyo Institute of Technology from 1997 to 2002 and the Human Adaptive Mechatronics (HAM) Project is the newly selected COE research project at Tokyo Denki University from 2003 to 2008. Both projects are sponsored by the Ministry of Education, Culture, Sports, Science and Technology in Japan. The author was the SMS project leader until 2000 and Prof. S. Hirose succeeded. Many mechanical systems with functions adapting to varying environment and the relating basic theory have been developed. The concurrent design method of the mechanism and controller has been developed by the control research group in the project. Human adaptive mechatronics is a system, which includes the human in the control loop and changes the functions and structure of the man-machine interface according to the improvement of the human operation skill. In this plenary lecture, the control of the multiple pendulums from the pendant to the upright position is discussed from the viewpoint of varying constraint systems. The swing-up control of pendulums is discussed by considering reachability of an unstable nonlinear system by nonlinear control. A new approach to analyse and to design a nonlinear control based on the fractal is presented. The results show that the map of the control parameters and the initial conditions give interesting results.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125754584","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}