Robust Stabilization of Discrete-Time Multi-Model Systems Using Piecewise Affine State-Feedback
نویسندگان
چکیده
منابع مشابه
Quadratic Stabilization of Discrete-Time Uncertain Nonlinear Multi-Model Systems using Piecewise A ne State-Feedback
In this paper a method for nonlinear robust stabilization based on solving a bilinear matrix inequality (BMI) feasibility problem is developed. Robustness against model uncertainty is handled. In different non-overlapping regions of the state-space known as clusters the plant is assumed to be an element in a polytope which vertices (local models) are a ne systems. In the clusters containing the...
متن کاملH∞ State Feedback Control of Discrete-time Piecewise Affine Systems
This paper addresses the H∞ state feedback control problem for discrete-time piecewise affine systems. Our main objective is to derive design methods that take into account the partition information of the system so as to alleviate the design conservativeness embedded in conventional approaches where local Lyapunov functions are required to possess some global characteristics. To overcome the d...
متن کاملGlobal input-to-state stability and stabilization of discrete-time piecewise affine systems
This article presents conditions for global input-to-state stability (ISS) and stabilization of discrete-time, possibly discontinuous, piecewise affine (PWA) systems. Piecewise quadratic, possibly discontinuous candidate ISS Lyapunov functions are employed for both analysis and synthesis purposes. This enables us to obtain sufficient conditions based on linear matrix inequalities, which can be ...
متن کاملRobust Stabilization of Discrete - Timemulti - Model Systems Using Piecewiseaffine State
In this paper we develop a BMI based method for nonlinear robust stabilization. Robustness against model uncertainty is handled. The development is based on an uncertain multi-model representation of the plant, and an associated piecewise aane state-feedback structure. Assuming a quadratic Liapunov function, a BMI condition for robust (quadratic) stabilization is found. Control constraints are ...
متن کاملControl of Discrete-time Piecewise Affine Systems
In this paper we propose a new approach for the control of discrete-time piecewise affine hybrid systems on full-dimensional polytopes. The new strategy is divided into a local and a supervisory control problem. The local problem is to reach and cross one facet of a polytope ensuring that the next sample of the time-discrete trajectory is picked up in the adjacent polytope. Therefore, a local p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 1998
ISSN: 1474-6670
DOI: 10.1016/s1474-6670(17)44905-6