Stabilizing Control for Discrete Time Multi-input Bilinear Systems
نویسندگان
چکیده
This paper presents two stabilizing control methods for discrete time bilinear systems. One is a stabilizing controller for single input systems, and the other is a generalized stabilizing control method for discrete time multi-input bilinear systems. The proposed control methods guarantee the stability for each closed loop systems with single-input case and multi-input case, respectively. This paper introduces a lemma used to extend the stabilizing control method which is useful to represent any bilinear systems as pure differential(difference) matrix equations. The proposed algorithms are verified by a numerical example.
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 کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملOn Controllability and Near-controllability of Multi-input Discrete-time Bilinear Systems in Dimension Two
This paper completely solves the controllability problems of two-dimensional multi-input discrete-time bilinear systems with and without drift. Necessary and sufficient conditions for controllability, which cover the existing results, are obtained by using an algebraic method. Furthermore, for the uncontrollable systems, near-controllability is studied and necessary and sufficient conditions fo...
متن کاملAn interpolation strategy for discrete-time bilinear MPC problems
Input–output (I–O) feedback linearization suffers from a number of restrictions which have limited its use in model-based predictive control. Some of these restrictions do not apply to the case of bilinear systems, but problems with input constraints and unstable zero dynamics persist. The present note overcomes these difficulties by means of an interpolation strategy. Involved in this interpol...
متن کاملDesign and Implementation of Discrete Time Observer Based Backstepping Controller for a 2DOF Servomechanism
The two degrees of freedom servomechanism has many applications, including in gimbaled seekers. These mechanisms require closed-loop control to perform properly. In this paper, an observer-based multi-input-multi-output hybrid controller is designed for a two-degree-of-freedom servomechanism. Since in the model presented in this paper, disturbances on the mechanism are considered, so an extende...
متن کامل