Abstract
This paper presents sets of gains for the nested discontinuous controller family. The methodology for obtaining gains is based on a control Lyapunov function, this function determines the conditions for the value of each of the controller gains, the last gain being the one that is directly related to the boundaries of the disturbances and uncertainties. In this way the algorithm for obtaining gains can be summarized in three steps. The first step concerns about establishing the value of the weight vector, the degrees of homogeneity of the r-homogeneous functions that make up the proposed Lyapunov function. The second step consists of establishing the value of the first gain, which, for second and higher order controllers, is sufficient for it to be real positive. The third step is to determine the maximum value of an objective function. Moreover, it allows us to obtain the lower bound of the set of values for the gain that stabilize the system. The results show that the set of gains obtained stabilize the closed-loop system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Memorias del Congreso Nacional de Control Automático
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
