Output feedback passification of saturated switched systems

ABSTRACT

This paper addresses the passivity and feedback passification of the saturated switched systems. A switching law and output feedback controllers are designed such that the corresponding closed-loop systems are with the passivity and disturbance tolerance capacity. The switching law satisfies a maximal dwell time (DT) condition, which avoids too high switching frequency. More importantly, under the switching law, the storage function is allowed to be increased during the DT and then decreased due to the drop of itself at the mixed time/state-dependent switching instants. This releases the performance requirement of existing results where the storage function must be non-increasing all the time. Finally, the existence of the upper bound of DT and output feedback controllers is guaranteed by solving some linear matrix inequalities. Two examples are given to show the effectiveness of the proposed method.

KEYWORDS:

• Switched systems
• actuator saturation
• feedback passification
• output feedback

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 61233002], [grant number 61473063] ; the 111 Project [grant number B16009] and IAPI Fundamental Research Funds [grant number 2013ZCX03-01]; and the Fundamental Research Funds for the Central Universities [grant number N150802001].