Constructive nonlinear control: a historical perspective

By Petar V. Kokotovic, Murat Arcak. at - Automatisierungstechnik, 2001

750 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/1450f17c80b1178dea6c595c51ae987be44d1e52

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In Control and Systems Engineering

Citations in the corpus

Lyapunov-Based Model Predictive Control of Nonlinear Systems Subject to Data Losses (2008, background): “Example of such control laws are available in the literature for a for certain classes of nonlinear systems, see [45], [46] for results in this area.”
High-order fully actuated system approaches: Part IV. Adaptive control and high-order backstepping (2020, neutral): “In this section, we only consider a simple illustrative example (Kokotović & Arcak, 2001, p. 649), which was originally presented by Kokotović and Kanellakopoulos (1990): ẋ1 = θx21 + x2 ẋ2 = x3 ẋ3 = u, (91) where all variables are scalar ones, θ is an unknown parameter with a true value of 0.8.”
An ISS-modular approach for adaptive neural control of pure-feedback systems (2006, background): “A great deal of progress has been achieved for the control of strict-feedback systems with unknown parameters ( Kokotovic & Arcak, 2001; Krstic et al., 1995) and with unknown non-linearities (Choi & Farrell, 2001; Ge, Hang, Lee, & Zhang, 2001; Ge & Wang, 2002a; Kwan & Lewis, 2000; Lewis, Jagannatha”
Economic model predictive control of nonlinear process systems using Lyapunov techniques (2012, neutral): “There exists a K function fW( ) such that 858 DOI 10.1002/aic Published on behalf of the AIChE March 2012 Vol. 58, No. 3 AIChE Journal jxaðtÞ xbðtÞj fWðt t0Þ; (8) for all xa(t),xb(t) [ Xq and all w(t) [ W with fWðsÞ ¼ Lwh Lx ðeLxs 1Þ (9) Proposition 1 provides an upper bound on the deviation of the ”
Nonlinear control systems - A brief overview of historical and recent advances (2017, background): “1990s is considered as decade of ’activation process’ when the descriptive research was being transformed into formal design methods through constructive procedures [15].”
High-order fully actuated system approaches: Part III. Robust control and high-order backstepping (2020, methodology): “In this section, we only demonstrate the application procedures of the proposed approaches via an illustrative example obtained from the following firstorder SFS (Kokotovic & Arcak, 2001, p.648): ẋ1 = x21 + x2 ẋ2 = u, (108) where all variables are scalar ones.”
Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control (2005, methodology): “The desire to implement control approaches that allow for an explicit characterization of their stability properties has motivated significant work on the design of stabilizing control laws, using Lyapunov techniques (e.g., see [14], [4], [5]; the reader may refer to [ 12 ] for a survey of results i”
A control-oriented model of the current profile in tokamak plasma (2007, methodology): “An interesting historical survey of these topics is presented in [20] and in [21], which proposes an overview of non-linear model-predictive contr ol (one of the most widely used control method in industry).”
Learning control Lyapunov function to ensure stability of dynamical system-based robot reaching motions (2014, background): “In contrast to classical CLF-based approaches where the energy function is mostly hand-tuned by the user, a non-trivial problem that has only been solved for special classes of DS [23], in our approach we build an estimate of the CLF from demonstrations.”