Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
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Data
2008-09-24
Autores
Cardim, Rodrigo [UNESP]
Teixeira, Marcelo C.M. [UNESP]
Assunção, Edvaldo [UNESP]
Covacic, Márcio R.
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Resumo
This paper presents two Variable Structure Controllers (VSC) for continuous-time switched plants. It is assumed that the state vector is available for feedback. The proposed control system provides a switching rule and also the variable structure control input. The design is based on Lyapunov-Metzler (LM) inequalities and also on Strictly Positive Real (SPR) systems stability results. The definition of Lyapunov-Metzler-SPR (LMS) systems and its direct application in the design of VSC for switched systems are introduced in this paper. Two examples illustrate the design of the proposed VSC, considering a plant given by a switched system with a switched-state control law and two linear time-invariant systems, that are not controllable and also can not be stabilized with state feedback. ©2008 IEEE.
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Control systems, Control theory, DC motors, Feedback, Invariance, Spatial variables control, Spectrum analyzers, State feedback, Surface plasmon resonance, Switching systems, Telecommunication networks, Time varying control systems, Variable structure control, A-Plant, Continuous-time, Linear-time-invariant systems, Lyapunov, Stability results, State vectors, Strictly positive real, Switched systems, Switched-state control, Switching rules, Variable structure controllers, Variable structure systems, System stability
Como citar
IEEE 10th International Workshop on Variable Structure Systems, VSS'08, p. 18-23.