Decentralized discrete-time quasi-sliding mode control of uncertain linear interconnected systems

2014 4th Australian Control Conference (AUCC)

et al. 2014

In this paper, a decentralized discrete-time sliding mode control is designed for the uncertain large-scale systems. Firstly, a decentralized sliding surface is developed for the largescale discrete-time systems including uncertainty and exogenous disturbance. Then, a decentralized sliding mode controller is designed for the underlying systems. An LMI approach is deployed to develop a new framework to design the decentralized sliding mode controller which can stabilize the underlying uncertain large-scale system. The ultimate boundedness of the state and sliding function of the underlying closed-loop system is studied accordingly. Illustrative examples are presented to show the effectiveness of the proposed controllers.

“…Note that from (28) and Lemma 4 it can easily be derived that ηI < M P , or equivalently, η λ max (M P ) < 1. Eventually, from Lemma 3 and (32), we conclude that…”

Section: Decentralized Discrete-time Sliding Mode Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Decentralized sliding mode control for uncertain discrete-time large-scale systems: An LMI approach

2014 4th Australian Control Conference (AUCC)

et al. 2014

“…An outstanding research implemented on the sliding mode control (SMC) has been the decentralized SMC for large‐scale interconnected systems; see the literature and the references therein. However, in the literature, the distributed SMC, for the cases that the interconnections between different subsystems are not weak, has received less attention and hence requires more investigations.…”

Section: Introductionmentioning

confidence: 99%

‐based optimal sparse sliding mode control for networked control systems

Intl J Robust & Nonlinear

2017

SummaryThis paper is devoted to the problem of designing a sparsely distributed sliding mode control for networked systems. Indeed, this note uses a distributed sliding mode control framework by exploiting (some of) other subsystems' information to improve the performance of each local controller so that it can widen the applicability region of the given scheme. To do so, different from the traditional schemes in the literature, a novel approach is proposed to design the sliding surface, in which the level of required control effort is taken into account during the sliding surface design based on the ℋ 2 control. We then use this novel scheme to provide an innovative less-complex procedure that explores sparse control networks to satisfy the underlying control objective. Besides, the proposed scheme to design the sliding surface makes it possible to avoid unbounded growth of control effort during the sparsification of the control network structure. Illustrative examples are presented to show the effectiveness of the proposed approach. KEYWORDSnetworked control systems, ℋ 2 -based optimal sparse sliding mode control, distributed control systems, linear matrix inequality

“…When the interconnections are strong, utilizing the distributed control frameworks has been considered to ensure stability of the overall system (Razeghi-Jahromi and Seyedi, 2015). An outstanding research implemented on the sliding mode control (SMC) has been decentralized SMC for the large-scale interconnected systems; see Yan et al (2004Yan et al ( , 2006; Qureshi and Abido (2014); Mahmoud and Qureshi (2012) and the references therein. The distributed SMC has received less attention and hence it requires more investigations.…”

Section: Introductionmentioning

confidence: 99%

Sparse Observer-Based Sliding Mode Control For Networked Control Systems

et al. 2017

IFAC-PapersOnLine

This paper is devoted to the problem of designing a sparse distributed output feedback discrete-time sliding mode control (ODSMC) for the networked systems. A distributed structure is employed in the discrete-time sliding mode control framework by exploiting other sub-systems' information to improve the performance of each local controller/observer so that it can widen the applicability region of the given scheme. As the first step, a stability condition is derived for the overall closed-loop system obtained from applying ODSMC to the underlying interconnected system, by assuming a given structure for the control/observer network. In the second step, we explore a methodology to obtain a sparse control/observer network structure with the least possible number of communication links that satisfies the stability condition given in the first step. The boundedness of the obtained overall closed-loop system is analyzed and a bound is derived for the augmented system state which includes the closed-loop system state and the switching function.