Global Asymptotic Stabilization of Bilinear Control Systems with Periodic Coefficients
نویسنده
چکیده
Sufficient conditions for uniform global asymptotic stabilization of the origin are obtained for bilinear control systems with periodic coefficients. The proof is based on the use of the Krasovsky theorem on global asymptotic stability of the origin for periodic systems. The stabilizing control function is feedback control constructed as the quadratic form of the phase variables and depends on time periodically.
منابع مشابه
Dynamical Output Feedback Stabilization of Mimo Bilinear Systems with Undamped Natural Response
This paper considers the globally asymptotic stabilization problem of multi-input multi-output bilinear systems with undamped natural response. Under the conditions for asymptotic stabilization by static state feedback control and system detectability, two output dynamic feedback controllers with saturation bounded control are constructed. The global asymptotic stability of the closed-loop syst...
متن کامل[hal-00828969, v1] Global asymptotic stabilization of some bilinear systems by hybrid state and output feedback
Abstract—This paper deals with the global asymptotic stabilization problem for a class of bilinear systems. A state feedback controller solving this problem is obtained uniting a local controller, having an interesting behavior in a neighborhood of the origin, and a constant controller valid outside this neighborhood. The approach developed is based on the use of a hybrid loop, and more precise...
متن کاملAn LMI-Based Stabilization Criterion of Sliding Mode Control for a Class of Bilinear State-Delay Systems
This paper focuses on the problem of sliding mode control for delay-dependent stabilization criterion of bilinear state-delay systems. Based on the linear matrix inequality (LMI) method and a parameterized model transformation technique, we provide a sufficient condition for the existence of sliding surface and we give an explicit formula of sliding surface guaranteeing the asymptotic stability...
متن کاملStabilizing Sliding Mode Control for Homogeneous Bilinear Systems
The stabilization of homogeneous bilinear systems constitutes the main interest of this paper. A sliding mode control is suggested and a stability study is held leading to sufficient conditions of global stabilization. The sliding surface is determined through the resolution of the nonlinear constraints of stabilization. Simulations on numerical examples are presented proving the effectiveness ...
متن کاملA Lyapunov Approach to Exponential Stabilization of Nonholonomic Systems in Power Form
| In this note a continuous feedback control law with time-periodic terms is derived for the control of non-holonomic systems in power form. The control law is derived by Lyapunov design from a homogeneous Lyapunov function. Global asymptotic stability is shown by applying the principle of invariance for time-periodic systems. Exponential convergence follows since the vector elds are homogeneou...
متن کامل