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**Harvard**

Pettersson, S. och Lennartson, B. (1997) *Controller Design of Hybrid Systems*.

** BibTeX **

@inbook{

Pettersson1997,

author={Pettersson, Stefan and Lennartson, Bengt},

title={Controller Design of Hybrid Systems},

booktitle={Hybrid and Real-Time Systems, HART'97, Lecture Notes in Computer Science 1201, Editor O. Maler, Springer},

pages={240-54},

abstract={In this paper we present two strategies to design a hybrid controller for a system described by several nonlinear vector fields. Besides the overall goal to find a controller that stabilizes the closed-loop hybrid system, the selection will also be made in such a way that an exponentially stable closed-loop system is obtained. The design strategies are based on stated stability and exponential stability theorems for hybrid systems. The first approach results in regions where it is possible to change vector fields guaranteeing (exponential) stability of the closed-loop hybrid system. The second design strategy utilizes the fact that a system is (exponentially) stable if it is always possible to choose a vector field that points in a direction such that the trajectory approaches the equilibrium point. These conditions can be verified by solving a linear matrix inequality (LMI) problem. },

year={1997},

keywords={hybrid},

}

** RefWorks **

RT Book, Section

SR Electronic

ID 15822

A1 Pettersson, Stefan

A1 Lennartson, Bengt

T1 Controller Design of Hybrid Systems

YR 1997

T2 Hybrid and Real-Time Systems, HART'97, Lecture Notes in Computer Science 1201, Editor O. Maler, Springer

SP 240

OP 54

AB In this paper we present two strategies to design a hybrid controller for a system described by several nonlinear vector fields. Besides the overall goal to find a controller that stabilizes the closed-loop hybrid system, the selection will also be made in such a way that an exponentially stable closed-loop system is obtained. The design strategies are based on stated stability and exponential stability theorems for hybrid systems. The first approach results in regions where it is possible to change vector fields guaranteeing (exponential) stability of the closed-loop hybrid system. The second design strategy utilizes the fact that a system is (exponentially) stable if it is always possible to choose a vector field that points in a direction such that the trajectory approaches the equilibrium point. These conditions can be verified by solving a linear matrix inequality (LMI) problem.

LA eng

DO 10.1007/BFb0014729

LK http://dx.doi.org/10.1007/BFb0014729

OL 30