Adaptive FTPP control of switched stochastic nonlinearly parameterized systems with asymptotic tracking performance

Abstract

The article discusses the asymptotic tracking control for switched stochastic systems with nonlinear parameterization. Firstly, to achieve the finite-time control, a finite-time prescribed performance function (FTPPF) is introduced into the regular control frame which refrains from the fractional-order controller design. Secondly, an error transformation is employed which renders the transition from primordial output tracking error to a new error associated with the FTPPF for achieving objective. Thirdly, an improved filter is introduced to deal with the sharp increase in computation on account of the repeated differentiation of the virtual controllers. By using the Barbǎlat's Lemma, the designed control strategy can insure the output tracks the reference signal asymptotically, and the performance function boundaries are satisfied within a finite time under the designed control strategy. Finally, simulations are given to demonstrate the feasibility of the constructed strategy.