Finite-time boundedness of uncertain Hamiltonian systems via sliding mode control approach

Finite‐time adaptive control for port‐controlled Hamiltonian systems with parametric perturbations

“…Until now, there are many novel results on finite-time control problems for various systems, to mention a few, stochastic FTB control for Markovian jump cyber-physical systems, 23 FTS and finite-time stabilization for discrete-time linear systems, 26 FTB control of linear parameter-varying systems, 27 FTS and finite-time stabilization for impulsive sampled-data systems. 28 To the best of our knowledge, only a few works are reported on finite-time control above-mentioned for PCH systems, 29,30 especially for PCH systems with parametric uncertainties, 31 where the literature 31 studied the FTB problem for PCH systems with parametric uncertainties by sliding mode control approaches. As mentioned above, during the infinite-time interval, adaptive control has become an effective method to solve the control problem for PCH systems with parametric uncertainties.…”

“…31 Besides, the control strategies employed in this article is also different from those in the literature. 31 (iii) the sufficient conditions on FTB and finite-time  ∞ control are also derived for uncertain nonlinear systems via the orthogonal decomposition Hamiltonian realization method. 7 The rest of this article is organized as follows.…”

Prescribed Finite-time ESO-based Prescribed Finite-time Control and Its Application to Partial IGC Design

“…Over the years, since the property of robustness against bounded disturbance, sliding mode control (SMC) has become the popular tool for the controller design of nonlinear systems [1,2,3,4]. Considering that many conventional sliding mode controllers are designed based on asymptotic stability theory [5], finite-time terminal sliding mode control (TSMC) has been widely developed with the proposed of finite-time theory [6].…”

Finite-Time H ∞ Control of Affine Nonlinear Singular Systems Subject to Actuator Saturation

“…Unlike the asymptotical stability [23][24][25][26], the finite-time stable (FTS) is that the state (weighted) norm does not exceed a certain boundary within a fixed time T. In many practical applications, FTS plays an important role, such as analyzing the transient behavior of the controlled system within a finite interval. Due to its extensive engineering application background, the FTS problem has attracted much scholarly interest [6,7,[27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. In [27,28], the FTS problem of the linear system has been investigated.…”

“…Feng et al [7]investigated the FTS for the linear singular system with the LMI method. Based on the sliding mode control design, FTS and input-output FTS problems are, respectively, dealt with in [33][34][35] for a class of nonlinear systems. In [36][37][38], the finite-time asynchronous dissipative filtering, finite-time asynchronous L 2 -gain control, and finite region asynchronous H ∞ control have been, respectively, studied for nonlinear Markov jump systems while an annular finite-time H ∞ filter has been considered for networked switched systems in [39].…”