view:29872 Last Update: 2020-7-3
Bashiri, S., Mobayen, S., Bayat, F.
Observer Designing for Discrete-Time Piecewise Linear Systems in the Presence of Uncertainty: Linear Matrix Inequalities Approach
طراحي رويتگر حالت براي سيستمهاي تکه¬ای خطي زمان گسسته در حضور عدم قطعيت: رويکرد نامساويهاي ماتريسي خطي
Abstract: In this paper, the design problem of the state observer with the state feedback is investigated for the stabilization of the discrete-time piecewise linear systems in the presence of uncertainty. In this paper, two uncertain discrete-time systems are used which one of them has the external disturbance and the other does not. We used linear matrix inequalities approach, piecewise quadratic Lyapunov functions and Finsler’s lemma for design of the state observer. In addition to the above mentioned methods, we used control to design the state observer for the uncertain system with external disturbance. The control causes the attenuation of the disturbance effect and presents an appropriate estimation of the system states. In this paper, by using the Finsler’s lemma, a set of slack variables are introduced to reduce the design conservatism. Simulink results show the high performance of the proposed method in stabilization of the closed-loop system and achievement of the acceptable estimation of state variables.