Robust Control For Nonlinearly Parameterized Uncertain Systems

This paper considers the problem of robust H∞adaptive control and disturbanceattenuation for two class of nonlinearly parameterized systems. Because of uncontrollableunstable linearization, there may not exist any smooth static or dynamic stabilizer. Basedon the tool of adding a power integrator and a new parameter separation technique, thispaper gives nonsmooth robust dynamic feedback laws to reject the disturbance and makethe systems internal stability.Firstly, this paper introduces some related background and development situation.Secondly, this paper studied a class of nonlinearly parameterized systems with gen-eralized lower triangular are studied. Using the tool of adding a power integrator and anew parameter separation technique, the nonsmooth robust H∞adaptive controllers areconstructed, leading to global asymptotic stability and disturbance attenuation.Finally, in this paper, the problem of the robust adaptive H∞control is studied for aclass of nonlinearly parameterized systems with zero dynamic and disturbance uncertainty.Introducing new hypothesis, this paper gives the nonsmooth robust H∞adaptive feedbackcontrol laws on the ground of the tool of adding a power integrator and a new parameterseparation technique, leading to reject the disturbance and make the systems internal sta-bility...