Variable structure control of switched systems based on Lyapunov-Metzler-SPR systems
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Institute of Electrical and Electronics Engineers (IEEE)
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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
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IEEE 10th International Workshop on Variable Structure Systems, VSS'08, p. 18-23.
