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In this paper, adaptive finite-time control is presented for a class of uncertain nonholonomic systems in chained form with nonlinear parameterization. Using parameter separation, state scaling and backstepping, an adaptive finite-time control law is obtained in the form of continuous time-invariant feedback. Both Lyapunov stability and finite time convergence are guaranteed by appropriately choosing...
The problem of robust stabilization for a class of uncertain switched linear systems is studied. Supposed that there exist finite appointed static output feedback controllers, the subsystem can't be stabilized by using a single appointed controller accordingly. The parameter uncertainties are time-varying and unknown but are norm-bounded. By using the completeness and LMI (linear matrix inequality)...
The paper mainly studies the problem of Hinfin robust stability for a new type of uncertain nonlinear time-delay composite systems. Switched uncertain nonlinear time-delay composite systems. Based on single Lyapunov function and multiple Lyapunov function, respectively, two design schemes of decentralized switching laws are obtained, under which the systems are shown to be asymptotically stable with...
The problem of feedback stabilization for a class of switched nonlinear systems is considered using polynomial Lyapunov function, and two methods are presented based on sum of square decomposition. The first is direct method and feedback controllers can be obtained by solving feasibility problem of sum of square program. The second method is iterative method and feedback controllers can be obtained...
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