J. Stiver and P. Antsaklis. A novel discrete event system approach to modeling and analysis of hybrid control sysytems. In Proceedings of the 29th Annual Al lerton Conference on Communication, Control and Computing, Univ. of Illinois at Urbana-Champaign, October 2-4 1991.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....discrete dynamic controller is applied to a continuous dynamic plant where the discrete controller and continuous plant interact through a well defined control interface. These types of systems have recently been examined by Ramadge (1990) Gollu and Varaiya (1989) Peleties and DeCarlo (1989) Stiver and Antsaklis (1991) , and Passino and Ozguner (1991) In our discussion of hybrid dynamical systems, continuous and discrete dynamics exist in a single system and interact directly with each other. This coexistence of continuous and discrete dynamics has also been examined in the hybrid system models proposed by ....

James A. Stiver and Panos J. Antsaklis. A novel discrete event system approach to modeling and analysis of hybrid control systems. Technical Report Control Systems Technical Report 71, Department of Electrical Engineering, University of Notre Dame, June 1991.

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J. Stiver and P. Antsaklis. A novel discrete event system approach to modeling and analysis of hybrid control sysytems. In Proceedings of the 29th Annual Al lerton Conference on Communication, Control and Computing, Univ. of Illinois at Urbana-Champaign, October 2-4 1991.

.... systems in a unified, analytical wayandanumber of results have been reported in the literature [Antsaklis 1993d] Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] The hybrid control systems considered here consist of three distinct levels# see Figure 2. The controller is a discrete state system, a sequential machine, seen as a Discrete Event System (DES) The controller receives, manipulates and outputs events represented by ....

J. A. Stiver, P.J.Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Proceedings of the TwentyNinth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, Oct. 2-4, 1991.

.... hybrid control systems in a unified, analytical wayandanumber of results have been reported in the literature [Antsaklis 1993d] Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] The hybrid control systems considered here consist of three distinct levels# see Figure 2. The controller is a discrete state system, a sequential machine, seen as a Discrete Event System (DES) The controller receives, manipulates and outputs events ....

J. A. Stiver, P.J.Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Control Systems Technical Report #71, Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, June 1991.

....before. Important fields of study ancestral to hybrid control are bang bang control, sliding mode control, variable structure control, and digital control. Approaches to hybrid systems appeared in [WIT 66] JOH 81] More recently, the study of hybrid systems in [GOL 89] PEL 89] BEN 90] STI 91] helped raise the awareness of the research community of the importance of this field of study. In the following, after an introduction to major approaches in hybrid systems research, specific contributions are discussed, with modeling issues and approaches being addressed first. The last part ....

STIVER J.A., ANTSAKLIS P.J., "A novel discrete event system approach to modeling and analysis of hybrid control systems". In: Proceedings of the 29th Annual Allerton Conference on Communication, Control and Computing. Urbana-Champaign, Illinois, USA, 1991.

....in hybrid control systems is perhaps the main characteristic of our approach. It is also what has been distinguishing our approach from other approaches (with more complex interfaces, or with restrictions on the class of systems studied) since early versions of our model first appeared in 1991 [28, 29]. In general the design of the interface depends not only on the plant to be controlled, but also on the control policies available, as well as on the control goals to be attained. Certain control goals may require, for example, detailed feedback information while for others coarser quantization ....

....instead of a continuous time plant [9, 28] This approach leads to simpler mathematical analysis, as it avoids the issue of continuous trajectories crossing hypersurfaces this approach is outlined in Section 5. Note that early versions of the results discussed in this paper have appeared in [2, 3, 29,30, 32]. 2 Hybrid Control System Modeling A hybrid control system, can be divided into three parts, the plant, interface, and controller as shown in Figure 1. In this model, the plant represents the continuous time components of the system, while the controller represents the discrete event portions. ....

J. A. Stiver and P. J. Antsaklis, "A novel discrete event system approach to modeling and analysis of hybrid control systems", In Proceedings of the Twenty-Ninth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, October 1991.

....exist partitions of a continuous system that capture the behavior in such a manner 3 that preserve the important characteristics but result in simplified system descriptions. The design problem of continuous partitions is central in hybrid system and had been identified as such as early as 1991 [23]. The problem of obtaining discrete abstractions of continuous systems is directly related to the formal verification techniques for analyzing hybrid systems. In the computer science community, hybrid models are essentially extensions of finite state machines that incorporate simple continuous ....

J. Stiver and P. Antsaklis. A novel discrete event system approach to modeling and analysis of hybrid control sysytems. In Proceedings of the 29th Annual Al lerton Conference on Communication, Control and Computing, Univ. of Illinois at Urbana-Champaign, October 2-4 1991.

....sliding mode control, variable structure control, and digital control. More recent approaches to hybrid systems appeared in (Witsenhausen, 1966; Johnson, 1981) More recently, hybrid systems were studied in (Gollu and Varaiya, 1989; Peleties and DeCarlo, 1989; Benveniste and Guernic, 1990; Stiver and Antsaklis, 1991). In the following, after an introduction to major approaches in hybrid systems research, specific contributions are discussed, with modeling issues and approaches being addressed first. We end by describing briefly a recent approach by the authors that involves Petri nets. The descriptions of ....

Stiver, J.A. and P.J. Antsaklis (1991). A novel discrete event system approach to modeling and analysis of hybrid control sysytems. In: Proceedings of the 29th Annual Allerton Conference on Communication, Control and Computing. Univ. of Illinois at Urbana-Champaign.

....of the system. 1 Introduction The hybrid control systems considered in this paper consist of three chief components: a continuous time plant, a discrete event system (DES) controller, and an interface. This work uses a modeling framework for hybrid control previously developed by the authors [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]. Hybrid systems in general have attracted significant interest in recent years. Efforts include the work by Nerode, Kohn, et al. 11, 12, 13] Brockett [14] Ramadge, et al. 15, 16, 17] Varaiya, et al. 18, 19] and Tittus, et al. 20, 21] Articles on these and other approaches can be found in ....

J. A. Stiver and P. J. Antsaklis, "A novel discrete event system approach to modeling and analysis of hybrid control systems", In Proceedings of the Twenty-Ninth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, Oct. 1991.

.... systems in a unified, analytical way and a number of results have been reported in the literature [Antsaklis 1993d] Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] The hybrid control systems considered here consist of three distinct levels; see Figure 2. The controller is a discrete state system, a sequential machine, seen as a Discrete Event System (DES) The controller receives, manipulates and outputs events represented by ....

J. A. Stiver, P. J. Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Proceedings of the TwentyNinth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, Oct. 2-4, 1991.

.... hybrid control systems in a unified, analytical way and a number of results have been reported in the literature [Antsaklis 1993d] Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] The hybrid control systems considered here consist of three distinct levels; see Figure 2. The controller is a discrete state system, a sequential machine, seen as a Discrete Event System (DES) The controller receives, manipulates and outputs events ....

J. A. Stiver, P. J. Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Control Systems Technical Report #71, Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, June 1991.

....The model provides a framework to represent the interaction between the continuous and discrete portions of the system. 9] presents a hybrid system model in which the discrete dynamics are modeled by a Petri net and special attention is given to describing events and event structures. Finally, [10 12] contain background as well as some of the results reported in this work. Controller Interface Plant r x r x generator actuator Figure 1: Hybrid Control System In this paper, a clear methodology for analysis and controller design of hybrid control systems is presented. It is based on a ....

....section 6 describes a number of system theoretic issues, including determinism, and quasideterminism. These can be applied to the DES models of the hybrid system to provide insight into the design of the interface. Note that early versions of the results discussed in this paper have appeared in [10 12, 17, 18]. 2 Hybrid Control System Modeling A hybrid control system, can be divided into three parts, the plant, interface, and controller as shown in Figure 1. In this model, the plant represents the continuous time components of the system, while the controller represents the discrete event portions. ....

J. A. Stiver and P. J. Antsaklis, "A novel discrete event system approach to modeling and analysis of hybrid control systems", In Proceedings of the Twenty-Ninth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, Oct. 1991.

.... hybrid control systems in a unified, analytical way and a number of results have been reported in the literature [Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] In this chapter, a novel approach to hybrid systems modeling and control is described. Descriptions of the plant to be controlled, the controller and the interface are given in Section 2. The important role of the interface is discussed at length. In Section 3, ....

J. A. Stiver, P. J. Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Proceedings of the Twenty-Ninth Annual Allerton Conference on Communication, Control, and Computing, University of Illinois at Urbana-Champaign, Oct. 2-4, 1991.

.... made to study hybrid control systems in a unified, analytical way and a number of results have been reported in the literature [Benveniste 1990] Gollu 1989] Grossman 1992] Holloway 1992] Kohn 1992] Lemmon 1993b] Nerode 1992] Passino 1991b] Peleties 1988] Peleties 1989] Stiver 1991a] Stiver 1991b] Stiver 1991c] Stiver 1992] Stiver 1993] In this chapter, a novel approach to hybrid systems modeling and control is described. Descriptions of the plant to be controlled, the controller and the interface are given in Section 2. The important role of the interface is discussed at length. In ....

....of definition Lyapunov stability means the following. The state of the plant will remain with in the events which were deemed desirable and if it is perturbed from this area, the state will return to it. A detailed application of these results to hybrid control systems can be found in [Stiver 1991b] In [Ozveren 1991] the stability of a DES is defined as the property that the state of the DES will visit a certain subset infinitely often. This subset is analogous to the desirable set mention above. In a hybrid control system, this would imply that the state of the plant could leave the ....

J. A. Stiver, P. J. Antsaklis, "A Novel Discrete Event System Approach to Modeling and Analysis of Hybrid Control Systems", Control Systems Technical Report #71, Dept. of Electrical Engineering, University of Notre Dame, Notre Dame, IN, June 1991.

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