Suboptimal approach to the time-optimal control of second-order systems with complex poles

The time-optimal control of second-order systems with complex poles is well reported in technical literature. The switching boundary is complex and too difficult to implement. In this correspondence, new suboptimal systems are proposed and compared to the one available in [1], [2]. The suboptimal systems now proposed yield better response times, and the nonlinearities required to generate the switching boundaries are much simpler.