Publication
Lagrange Stability and Performance Analysis of Discrete-Time Piecewise Affine Systems with Logic States
Related publications (32)
Fixed-structure LPV Discrete-time Controller Design with Induced l2-Norm and H2 Performance
A new method for the design of fixed-structure dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, $\mathscr{H} ...
2015Fixed-structure H-2 controller design for polytopic systems via LMIs
Alireza Karimi, Arash Sadeghzadeh
In this paper a new approach for fixed-structure H2 controller design in terms of solutions to a set of linear matrix inequalities are given. Both discrete- and continuous-time single-input single-output (SISO) time- invariant systems are considered. Then ...
Wiley-Blackwell2015Majority Logic Representation and Satisfiability
Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù
Majority logic is a powerful generalization of common AND/OR logic. Original two-level and multi-level logic networks can use majority operators as primitive connective, in place of AND/ORs. In such a way, Boolean functions have novel means for compact rep ...
2014Robust Performance Analysis of Single Parameter-dependent Systems with Polynomially Parameter-dependent Lyapunov Matrices
This paper addresses the problem of H-infinity and H-2 performance analysis of continuous-time affine single parameter-dependent systems with polynomially parameter-dependent Lyapunov matrices. First, some necessary and sufficient conditions in terms of li ...
2014Fixed-order Discrete-time LPV Controller Design
A new method for the design of fixed-order dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented in this paper. Sufficient conditions for the stability, H2 ...
2014Selling robustness margins: A framework for optimizing reserve capacities for linear systems
Maryam Kamgarpour, Xiuwei Zhang
This paper proposes a method for solving robust optimal control problems with modulated uncertainty sets. We consider constrained uncertain linear systems and interpret the uncertainty sets as “robustness margins” or “reserve capacities”. In particular, gi ...
IEEE2014Biconditional Binary Decision Diagrams: A Novel Canonical Logic Representation Form
Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù
In this paper, we present biconditional binary deci- sion diagrams (BBDDs), a novel canonical representation form for Boolean functions. BBDDs are binary decision diagrams where the branching condition, and its associated logic expansion, is biconditional ...
2014Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization
In this paper, a new method for fixed-order controller design of systems with polytopic uncertainty in their state space representation is proposed. The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decoupl ...
2013Fixed-order LPV Controller Design for Rejection of a Sinusoidal Disturbance with Time-varying Frequency
A new method for the design of fixed-order Linear Parameter Varying (LPV) controllers with polytopic representation for LTI plants is proposed. The stability constraints for the closed-loop system are presented through a set of Linear Matrix Inequalities ( ...
2012Fixed-order H-infinity controller design for systems with ellipsoidal parametric uncertainty
Alireza Karimi, Arash Sadeghzadeh
In this paper, fixed-order robust H-infinity controller design for systems with ellipsoidal parametric uncertainty based on parameter dependent Lyapunov functions is studied. Using the concept of Strictly Positive Realness (SPRness) of transfer functions, ...
Taylor & Francis2011