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Nonlinear control of bilinear systems

Nonlinear control of bilinear systems

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The dual problems of designing state observers and state-feedback laws for bilinear systems are considered. Subsequently, the synthesis of dynamic controllers using state observers is discussed. In each case, global asymptotic stability of the complete system is pursued using a Lyapunov approach. The design is essentially reduced to finding a class of positive-definite matrices satisfying a given set of equality and inequality constraints. To each matrix satisfying these constraints there corresponds a class of controllers which globally stabilise the closed-loop system

References

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      • D. Williamson . Observation of bilinear systems with application to biological control. Automatica , 243 - 254
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      • I. Derese , P. Stevens , E. Noldus . Observers for bilinear systems with bounded input. Int. J. Syst. Sci. , 649 - 668
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      • Y. Funahashi . Stable state estimator for bilinear systems. Int. J. Control , 181 - 188
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      • I. Derese , P. Stevens , E. Noldus . The design of state observers for bilinear systems. J.A , 193 - 202
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      • M. Zeitz . Nichtlineare Beobachter. Regelungstechnik , 241 - 249
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