ABSTRACT
In practical systems, nonlinearities are ubiquitous and their strength or occurring types could be subject to random abrupt changes due possibly to some abrupt phenomena such as random failures and repairs of the components and changes in the interconnections of subsystems, to name just a few. Therefore, the H∞ control problem for dynamic systems with randomly occurring nonlinearities has attracted considerable research attention in the past two decades. On the other hand, almost all plants are subject to timevarying changes or fluctuations stemming from time-varying temperature, operating point periodic shifting, as well as complex environments. For this kind of plant, a performance index over a finite horizon should be defined to describe better transient performance in comparison with the specified steady-state case for traditional time-invariant plants. Additionally, it is of great significance to analyze the energy cost of controlled states and nominal controller inputs.
