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Controller Design of Hybrid Systems

Stefan Pettersson (Institutionen för reglerteknik) ; Bengt Lennartson (Institutionen för reglerteknik)
Hybrid and Real-Time Systems, HART'97, Lecture Notes in Computer Science 1201, Editor O. Maler, Springer p. 240-54. (1997)

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.

Nyckelord: hybrid

Denna post skapades 2006-09-19. Senast ändrad 2013-06-12.
CPL Pubid: 15822


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Institutionen för reglerteknik (1971-1997)


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