Dynamical Output Feedback Stabilization of Mimo Bilinear Systems with Undamped Natural Response
نویسندگان
چکیده
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 system is verified by Lyapunov stability theory and LaSalle’s Lemma. An example is given to demonstrate the obtained results.
منابع مشابه
Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays
Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...
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 کاملDynamic output feedback regulation for a class of nonlinear systems
In this paper results are presented on the problem of regulating nonlinear systems by output feedback, using Lyapunov-based techniques. In all the cases considered here, we ask that the part of the state which is not measured enter linearly in the equations. Sucient conditions for the global stabilization of the observed states via dynamic output feedback are obtained, assuming that such stabil...
متن کامل9. Control Theory for Automation: Fundamentals
9.4 Dynamical Systems with Inputs .............. 154 9.4.1 Input-to-State Stability (ISS) ......... 154 9.4.2 Cascade Connections..................... 157 9.4.3 Feedback Connections .................. 157 9.4.4 The Steady-State Response............ 158 9.5 Feedback Stabilization of Linear Systems ................................. 160 9.5.1 Stabilization by Pure State Feedback ................. ...
متن کاملSingular Perturbation Theory in Output Feedback Control of Pure-Feedback Systems
This paper studies output feedback control of pure-feedback systems with immeasurable states and completely non-affine property. Since availability of all the states is usually impossible in the actual process, we assume that just the system output is measurable and the system states are not available. First, to estimate the immeasurable states a state observer is designed. Relatively fewer res...
متن کامل