This paper studies the problem of exponentially dissipative control for singular impulsive dynamical systems. Some necessary and sufficient conditions for exponential dissipativity of such systems are established in terms of linear matrix inequalities (LMIs). A state feedback controller is designed to make the closed-loop system exponentially dissipative. A numerical example is given to illustrate the feasibility of the method.
Exponentially Dissipative Control for Singular Impulsive Dynamical Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 14, 2013; final manuscript received October 25, 2016; published online February 9, 2017. Assoc. Editor: Yongchun Fang.
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Yang, L., Liu, X., and Zhang, Z. (February 9, 2017). "Exponentially Dissipative Control for Singular Impulsive Dynamical Systems." ASME. J. Dyn. Sys., Meas., Control. April 2017; 139(4): 041008. https://doi.org/10.1115/1.4035166
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