5 papers
Extremum Seeking Nonovershooting Control of Strict-Feedback Systems Under Unknown Control Direction
Kaixin Lu, Ziliang Lyu, Yanfang Mo +2
This paper addresses the nonovershooting control problem for strict-feedback nonlinear systems with unknown control direction. We propose a method that integrates extremum seeking…
Inverse optimal design of input-to-state stabilizing homogeneous controllers for nonlinear homogeneous systems
Kaixin Lu, Ziliang Lyu, Haoyong Yu
This work studies the inverse optimality of input-to-state stabilizing controllers with input-output stability guarantees for nonlinear homogeneous systems. We formulate a new inve…
Safety Margins of Inverse Optimal ISSf Controllers
Ziliang Lyu, Yiguang Hong, Lihua Xie +1
We investigate the gain margin of a general nonlinear system under an inverse optimal input-to-state safe (ISSf) controller of the form u=u0(x)+u*(x,u0), where u0 is the nominal co…
Adaptive Override Control under High-Relative-Degree Nonovershooting Constraints
Ziliang Lyu, Miroslav Krstic, Kaixin Lu +2
This paper considers the problem of adaptively overriding unsafe actions of a nominal controller in the presence of high-relative-degree nonovershooting constraints and parametric…
Small-Gain Theorem for Safety Verification under High-Relative-Degree Constraints
Ziliang Lyu, Xiangru Xu, Yiguang Hong
This paper develops a small-gain technique for the safety analysis and verification of interconnected systems with high-relative-degree safety constraints. In this technique, input…