Decentralised delay-dependent static output feedback variable structure control

Abstract

In this paper, an output feedback stabilisation problem is considered for a class of large scale interconnected time delay systems with uncertainties. The uncertainties appear in both isolated subsystems and interconnections. The bounds on the uncertainties are nonlinear and time delayed. It is not required that either the known interconnections or the uncertain interconnections are matched. Under the assumption that the time delay is known, a decentralised static output feedback variable structure control is synthesised to stabilise the system globally uniformly asymptotically using Lyapunov Razumikhin approach. A case study relating to a river pollution control problem is presented to illustrate the proposed approach.

Terminal Sliding Mode Control with Adaptive Law for Uncertain Nonlinear System

“…Nonlinear control systems have been intensively studied in many control methods, including ∞ control, fault-tolerant control, robust passive control, neural networks, and fuzzy control [1][2][3][4][5][6][7][8][9][10]. Because sliding mode control (SMC) is well known for good robustness properties to system uncertainties and external disturbances [11][12][13][14], SMC has been widely studied as a powerful method to control nonlinear dynamic systems, such as stochastic systems [15][16][17] and nonlinear delay systems [18][19][20][21][22]. One of the conventional SMC characteristics is that the convergence time of the system states is usually asymptotical convergence from initial time to the equilibrium point, because we commonly choose the linear sliding mode manifold in spite of the conventional SMC claimed robustness.…”