References
- Boyd , S , El Ghaoui , L , Feron , E and Balakrishnan , V . 1994 . Linear Matrix Inequalities in System and Control Theory , Philadelphia : SIAM (Studies in Applied Mathematics) .
- Chen , M , Zhu , CR and Feng , G . 2004 . Linear-Matrix-Inequality-Based Approach to H ∞ Controller Synthesis of Uncertain Continuous-Time Piecewise Linear Systems . IEE Proceedings Control Theory Applications , 151 ( 3 ) : 295 – 301 .
- Feng , G . 2002 . Controller Design and Analysis of Uncertain Piecewise-linear Systems . IEEE Transactions on Circuits and Systems–I: Fundamental Theory and Applications , 49 : 224 – 232 .
- Hassibi , A and Boyd , S . 1998 . “ Quadratic Stabilisation and Control of Piecewise-linear Systems ” . In in Proceedings of the 1998 American Control Conference 3659 – 3664 . Philadelphia, PA, , USA
- Johansson , M . 2003 . Piecewise Linear Control Systems , Berlin, Heidelberg : Springer .
- LeBel , S and Rodrigues , L . 2007 . “ Path Following of a Wheeled Mobile Robot Combining Piecewise-affine Synthesis and Backstepping Approaches ” . In American Control Conference 4518 – 4523 . New York City, NY, USA
- Pavlov , A , van de Wouw , N and Nijmeijer , H . 2005 . “ Convergent Piecewise Affine Systems: Analysis and Design, Part I: Continuous Case ” . In in Proceedings of 44th IEEE Conference on Decision and Control and European Control Conference 5391 – 5396 . Seville, , Spain
- Petersen , IR . 1987 . A Stabilisation Algorithm for a Class of Uncertain Linear Systems . System and Control Letters , 8 : 351 – 357 .
- Pettersson , S . 1999 . “ Analysis and Design of Hybrid Systems ” . In PhD thesis , Göteborg, , Sweden : Chalmers University of Technology .
- Pettit , NBOL and Wellstead , PE . 1995 . Analyzing Piecewise Linear Dynamical Systems . IEEE Control Systems Magazine , 15 : 43 – 50 .
- Rantzer , A and Johansson , M . 2000 . Piecewise Linear Quadratic Optimal Control . IEEE Transactions on Automatic Control , 45 : 629 – 637 .
- Rodrigues , L , Hassibi , A and How , JP . 2000 . “ Output Feedback Controller Synthesis for Piecewise-affine Systems with Multiple Equilibria ” . In in Proceedings of 2000 American Control Conference 1784 – 1789 . Chicago IL, , USA
- Rodrigues , L and How , J . 2003 . Observer-based Control of Piecewise-affine Systems . International Journal of Control , 76 : 459 – 477 .
- Rodrigues , L . 2004 . Stability Analysis of Piecewise-affine Systems using Controlled Invariant Sets . Systems and Control Letters , 53 : 157 – 169 .
- Rodrigues , L . 2005 . “ State Feedback Control of Piecewise-affine Systems with Norm Bounded Noise ” . In in Proceedings of 2005 American Control Conference 1793 – 1798 . Portland OR, , USA
- Rodrigues , L and Boyd , SP . 2005 . Piecewise-affine State Feedback for Piecewise-affine Slab Systems using Convex Optimisation . Systems and Control Letters , 54 : 835 – 853 .
- Rodrigues , L and Boukas , E-K . 2006 . Piecewise-linear H ∞ Controller Synthesis with Applications to Inventory Control of Switched Production Systems . Automatica , 42 : 1245 – 1254 .
- Shehab , S and Rodrigues , L . 2007 . “ UAV Path Following Using a Mixed Piecewise-affine and Backstepping Control Approach ” . In European Control Conference 301 – 306 . Kos, Greece
- Sturm , JF . 1999 . Using SeDuMi 1.02, a MATLAB Toolbox for Optimisation Over Symmetric Cones (UPdated for Version 1.05) . Optimization Methods and Software , 11–12 : 625 – 653 . (for versions 1.02/1.03)
- Yfoulis , CA , Muir , A , Pettit , NBOL and Wellstead , PE . 1998 . “ Stabilization of Orthogonal Piecewise Linear Systems using Piecewise Lyapunov-like Function ” . In in Proceedings of 37th Conference on Decision and Control 1476 – 1481 . Tampa FL, , USA