author = "Souza, Luiz Carlos Gadelha de and Bigot, Pierre Gaston",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)}",
                title = "An adaptive method with weight matrix as a function of the state 
                         to design the rotatory flexible system control law",
              journal = "Mechanical Systems and Signal Processing",
                 year = "2016",
               volume = "79",
                pages = "132--140",
                month = "Oct.",
             keywords = "SDRE, Dynamic of flexible beam, Nonlinear control law.",
             abstract = "One of the most well-known techniques of optimal control is the 
                         theory of Linear Quadratic Regulator (LQR). This method was 
                         originally applied only to linear systems but has been generalized 
                         for non-linear systems: the State Dependent Riccati Equation 
                         (SDRE) technique. One of the advantages of SDRE is that the weight 
                         matrix selection is the same as in LQR. The difference is that 
                         weights are not necessarily constant: they can be state dependent. 
                         Then, it gives an additional flexibility to design the control 
                         law. Many are applications of SDRE for simulation or real time 
                         control but generally SDRE weights are chosen constant so no 
                         advantage of this flexibility is taken. This work serves to show 
                         through simulation that state dependent weights matrix can improve 
                         SDRE control performance. The system is a non-linear flexible 
                         rotatory beam. In a brief first part SDRE theory will be explained 
                         and the non-linear model detailed. Then, influence of SDRE weight 
                         matrix associated with the state Q will be analyzed to get some 
                         insight in order to assume a state dependent law. Finally, these 
                         laws are tested and compared to constant weight matrix Q. Based on 
                         simulation results; one concludes showing the benefits of using an 
                         adaptive weight Q rather than a constant one.",
                  doi = "10.1016/j.ymssp.2016.02.028",
                  url = "http://dx.doi.org/10.1016/j.ymssp.2016.02.028",
                 issn = "0888-3270",
                label = "self-archiving-INPE-MCTI-GOV-BR",
             language = "en",
           targetfile = "souza_an adaptive.pdf",
        urlaccessdate = "24 jan. 2021"