Piecewise Linear Control Systems

By Mikael Johansson, M. Johanssn. 2003

572 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9d750c8f43dd13ee31d71f075e4994078e51cc96

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In Control and Systems Engineering

Citations in the corpus

Optimal control of switched systems via non-linear optimization based on direct differentiations of value functions (2002, methodology): “Johansson (1999) and Rantzer and Johansson (2000), by using an inequality of Bellman type, propose upper and lower bounds of the optimal cost for the quadratic control of piecewise linear systems; however no explicit method for deriving the optimal control is given.”
Optimal control of switched systems based on parameterization of the switching instants (2004, unknown): “, [4], [5], [7]–[13], [15], [16], and [18]–[32]).”
Local and Piecewise Affine Approaches to System Identification (2003, background): “A common restriction (see for example [72]) is that v only”
Model predictive control for perturbed continuous piecewise affine systems with bounded disturbances (2004, unknown): “In particular, several authors have studied a subclass of hybrid systems, piecewise afﬁne systems (PWA) [1], [6], [10], since they represent a powerful tool for approximating nonlinear systems with arbitrary accuracy and since a rich class of hybrid systems can be described by PWA systems.”
Lyapunov function construction for ordinary differential equations with linear programming (2002, methodology): “In Johansson (1999) and Johansson and Rantzer (1997, 1998) piecewise quadratic Lyapunov functions are constructed for piecewise a ne linear systems.”
Controlling mechanical systems with backlash - a survey (2002, methodology): “Similar ideas to those of Johansson and Rantzer (1997), Johansson and Rantzer (1998), Johansson (1999), Indri and Tornamb]e (1997) are used in Nordin (2000) to prove set convergence when viscous friction, shaft damping, and actuator dynamics are present, with a deadzone backlash model, and a…”
Multiple Lyapunov Function Based Reaching Condition for Orbital Existence of Switching Power Converters (2008, methodology): “Therefore, in this paper, we modify the multiple Lyapunov function based criterion in [21] to predict the reaching criterion for orbital existence of SPCs.”
LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno's form (2004, background): “Other works can be found dealing with piecewise quadratic Lyapunov functions (Feng & Wang, 2001; Johansson, 1999; Johansson, Rantzer, & Arzen, 1999).”
Dynamical properties of hybrid automata (2003, background): “Special cases of the class of systems considered here include switched systems [25], complementarity systems [11], mixed logic dynamic systems [13], and piecewise linear systems [26] (the autonomous versions of”
Review on computational methods for Lyapunov functions (2015, background): “In the mid 1990’s studies of Branicky 1998 [44], Johansson and Rantzer 1998 [124], and Johansson in his PhD Thesis 1999 [123] on the stability of systems with state dependent switching received much attention.”