Observer-based Adaptive Control for a Class of Uncertain Switched Systems with Time-delay: A Sliding Mode Approach
- PDF / 1,006,380 Bytes
- 10 Pages / 594.77 x 793.026 pts Page_size
- 83 Downloads / 214 Views
ISSN:1598-6446 eISSN:2005-4092 http://www.springer.com/12555
Observer-based Adaptive Control for a Class of Uncertain Switched Systems with Time-delay: A Sliding Mode Approach Luxin Lin, Zhen Liu*, Yonggui Kao*, and Ruiping Xu Abstract: This article is devoted to the exponential stabilization problem of time-varying delay switched systems with nonlinear uncertainties via sliding mode technique. First of all, a non-fragile observer is established to deal with the case that the partial or total measurement of state variables is unavailable, from which a new sliding manifold is constructed. An exponential stability criteria of the dynamics in sliding phase is then devised in accordance with Lyapunov stability theory, linear matrix inequality and average dwell time method. Furthermore, the arrival condition of the designated sliding manifold is satisfied by utilizing the developed adaptive sliding mode controller. At last, the feasibility of the proposed control scheme is confirmed through two illustrative examples. Keywords: Average dwell time, exponential stability, sliding mode control, switched delay systems.
1.
INTRODUCTION
In recent years, switched systems have drawn increasing attention due to their favourable potential in practical applications, e.g., networked control systems, communication systems, power systems, flight control systems and chemical progress can be modeled as switched systems [1–3], and a great deal of results have been achieved for the stability and stabilization problems [4–6]. Undeniably speaking, time-delay phenomenon often arises in many kinds of dynamical systems, and the existence of time-delay frequently becomes a prime reason of poor performance, even leads to instability of these systems [7, 8]. Hence, time-delay systems have aroused widely attention over the recent years [9–12]. To name a few, [9] presented an observer-based adaptive control algorithm for uncertain systems with time-delay via sliding mode approach. [10] focused on the sliding mode control (SMC) problem with a linear sliding manifold of uncertain singular delay systems. It should be mentioned that timedelay phenomenon also occurs in many engineering systems consisting of switched systems, such as power systems [13] and networked control systems [14, 15]. In that context, many constructive achievements on switched delay systems (SDS) have been reported in [16–19], where the common idea of most of these studies is to introduce
the free weighting matrix to indicate the relations among the terms in Newton-Leibniz formula. Among them, [16] investigated the exponential stabilization problem of SDS with a family of stable and unstable subsystems. Then the delay-decomposition Lyapunov stabilization problem of nonlinear singular SDS was analyzed in [17] via the average dwell time (ADT) method. And [18] developed an mode-dependent controller for the finite-time stabilization problem of SDS, and make it applied to a servomechanism system. It should be pointed out that applications and research on SMC have been widely recog
Data Loading...
