Abstract

It is shown that persistently acting mixed bounded inputs (impulsive and bang-bang) can be realized in a feedback synthesis. The inputs are assumed to be cooperating time maximum disturbances to counter the system stability, for example, one could be a control input and the other a disturbance. The realization is based on a recharging rate limit for the impulsive input and a bound constraint on the bang-bang input. Complete details are provided on constructing the feedback synthesis using switch curve ideas for second order stable systems. Simulation results show how the expanded switch curves can be used to drive the system state to a maximum limit cycle oscillation.

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