Design of PI+CI Reset Compensators for second order plants

Reset control is a special kind of nonlinear compensation that has been used to overcome limitations of linear time invariant, LTI, compensation. In recent works by the authors a new type of reset compensator, referred to as PI+CI, has been introduced. It basically consists of adding a Clegg integrator, CI, to a Proportional-Integral, PI, compensator, with the goal of improving the closed loop response by using the nonlinear characteristic of this element. It turns out that by resetting a percentage of the integral term of a PI compensator, a significant improvement can be obtained by considerably reducing overshoot percentage and settling time. This work is devoted to the extension of this previous work by deriving new tuning rules for second order plants with and without delay.