Search for dissertations about: "Piecewise linear Lyapunov functions"

Found 4 swedish dissertations containing the words Piecewise linear Lyapunov functions.

  2. 1. Piecewise Linear Control Systems

    Author : Mikael Johansson; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Piecewise quadratic functions; Linear matrix inequalities; Convex optimization; Optimal control; Performance analysis; Piecewise linear Lyapunov functions; Piecewise quadratic Lyapunov functions; Quadratic stability; Lyapunov stability; Piecewise linear systems; Nonlinear systems; Fuzzy systems; Hybrid systems.; Automation; robotics; control engineering; Automatiska system; robotteknik; reglerteknik;

    Abstract : This thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. READ MORE

  4. 2. Analysis and Design of Hybrid Systems

    Author : Stefan Pettersson; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; asymptotic stability; Lyapunov theory; exponential stability; piecewise quadratic Lyapunov functions; hybrid systems; stability; linear matrix inequalities; nonlinear systems; LMIs; control theory; fuzzy systems;

    Abstract : Many physical systems today are modeled by interacting continuous and discrete event systems. Such hybrid systems contain both continuous and discrete states that influence the dynamic behavior. READ MORE

  5. 3. Control and Analysis of Pulse-Modulated Systems

    Author : Stefan Almér; Ulf Jönsson; Gilead Tadmor; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Pulse-width modulation; Periodic systems; Stability analysis; Harmonic analysis; Lyapunov methods; Dynamic phasors; Harmonic transfer function; Switched mode power converters; Sampled data modeling; H-infinity synthesis; Optimization; systems theory; Optimeringslära; systemteori;

    Abstract : The thesis consists of an introduction and four appended papers. In the introduction we give an overview of pulse-modulated systems and provide a few examples of such systems. Furthermore, we introduce the so-called dynamic phasor model which is used as a basis for analysis in two of the appended papers. READ MORE

  6. 4. Computational Methods for Optimal Control of Hybrid Systems

    Author : Sven Hedlund; Institutionen för reglerteknik; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; reglerteknik; Automation; robotics; control engineering; robotteknik; Automatiska system;

    Abstract : This thesis aims to find algorithms for optimal control of hybrid systems and explore them in sufficient detail to be able to implement the ideas in computational tools. By hybrid systems is meant systems with interacting continuous and discrete dynamics. Code for computations has been developed in parallel to the theory. READ MORE