Hybrid almost output regulation of linear impulsive systems with average dwell-time. (English) Zbl 1336.93067
Summary: This paper deals with the hybrid almost output regulation problem for a class of linear systems with average dwell-time impulses. The proposed hybrid output regulator is constructed as a linear impulsive system that undergoes synchronous impulses with the controlled plant. Lyapunov-based sufficient conditions of the output regulability and weighted \(\mathcal{L}_2\) performance for the linear impulsive systems are first derived. Based on the analysis results, the hybrid synthesis problem is formulated in terms of linear matrix equations plus a set of Linear Matrix Inequalities (LMIs). With this hybrid synthesis scheme, both flow and jump dynamics of the hybrid regulator can be jointly designed by solving a convex optimization problem in minimizing the weighted \(\mathcal{L}_2\) gain from the perturbation signal to the error output. A numerical example is used to demonstrate the proposed approach.
MSC:
| 93B50 | Synthesis problems |
| 49M30 | Other numerical methods in calculus of variations (MSC2010) |
| 90C25 | Convex programming |
| 93C05 | Linear systems in control theory |
Keywords:
linear impulsive systems; hybrid control; output regulation; average dwell-time; convex optimizationReferences:
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