Network-Based Output Tracking Control for a Class of T-S Fuzzy Systems That Can Not Be Stabilized by Nondelayed Output Feedback Controllers

Abstract

This paper investigates network-based output tracking control for a T-S fuzzy system that can not be stabilized by a nondelayed fuzzy static output feedback controller, but can be stabilized by a delayed fuzzy static output feedback controller. By intentionally introducing a communication network that produces proper network-induced delays in the feedback control loop, a stable and satisfactory tracking control can be ensured for the T-S fuzzy system. Due to the presence of network-induced delays, the fuzzy system and the fuzzy tracking controller operate in an asynchronous way. Taking the asynchronous operation and network-induced delays into consideration, the network-based tracking control system is modeled as an asynchronous T-S fuzzy system with an interval time-varying delay. A new delay-dependent criterion for L2 -gain tracking performance is derived by using the deviation bounds of asynchronous normalized membership functions and a complete Lyapunov-Krasovskii functional. Applying a particle swarm optimization technique with the feasibility of the derived criterion, a novel design algorithm is presented to determine the minimum L2 -gain tracking performance and control gains simultaneously. The effectiveness of the proposed method is illustrated by performing network-based output tracking control of a Duffing-Van der Pol's oscillator.

Distributed networked control systems: A brief overview

“…It is worth noting that the vast majority of the existing results investigate the negative effect of network-induced delays as they may lead to deteriorated system performance or even make the closed-loop system unstable. However, for some systems, such as an offshore platform [96,86,94] and a Duffing-Van der Pol's oscillator [92], network-induced delays may have the positive effect on system performance. For example, in [94], by artificially introducing a proper time delay into the control channel, a novel sliding mode control scheme for an offshore steel jacket platform is proposed.…”

“…It is shown through simulation results that the scheme is more effective in improving the control performance and reducing control force of the offshore platform than some existing delay-free sliding mode control schemes. In [92], by intentionally inserting a communication network that produces proper network-induced delays in the feedback control loop, a stable and satisfactory control can be ensured for a class of T-S fuzzy systems that cannot be stabilized by nondelayed output feedback controllers. It should be mentioned that different types of delays require different control methodologies.…”

Design and Performance Analysis of Incremental Networked Predictive Control Systems

“…where X L (k) has the same form as X(k) defined in (24). With y(k) = y 0 and u(k−1) = u 0 for k ≤τ , as well as the reference signal r(k) = y 0 for k <τ , from (43), we have…”

“…Compared with the stabilization problem, it is generally more challenging [18], [19], and only a few studies are carried out especially for the tracking control problems of NCSs [20]- [24]. Based on the state-space model, NPC methods were proposed to deal with the output tracking problem of NCSs with Markov network-induced delay in [19] and [25].…”

Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods

“…Since Pecora and Carroll ([22]) introduced a method to synchronize two identical chaotic systems with different initial conditions, chaos synchronization has also obtained much attention due to its potential application ( [1,7,21,34]) to physics, secure communication, informatics, etc. Many effective control schemes have also been proposed for the control and synchronization of chaotic systems, such as pinning control ( [25]),linear separation method ( [26]), output feedback ( [29]), time delay feedback control ( [19]), event-triggered technique ( [30]), occasional bang-bang control ( [24]), occasional proportional feedback ( [3]), impulsive control ( [31]), and intermittent control ( [36]). In comparison with continuous control of chaos, the discontinuous control scheme, which includes occasional bang-bang control, occasional proportional feedback, impulsive control, and intermittent control, has attracted more interest recently due to its easy implementation in engineering.…”