Stabilization of planar switched linear systems using polar coordinates

Analysis of stability and stabilizability of switched linear systems is a well-researched topic. This article pursues a polar coordinate approach which offers a convenient framework to analyze second-order continuous time switched linear systems. We elaborate on the analytic utility of polar coordinates and present necessary and sufficient conditions under which a stabilizing switched control law can be constructed. Implications of polar coordinate analysis for switched linear systems include sensitivity analysis of switching control laws and the design of oscillators. Categories and Subject Descriptors

• Type: Conference
• Year: 2010
• Where: HYBRID
• Authors: Andrew B. Godbehere, Shankar S. Sastry
• Keywords: HYBRID 2010, Hybrid Systems, Linear Systems, Polar Coordinate, Polar Coordinate Approach