Observer-Based Controller Design for 2-D Switching Linear Systems With Multiple Focuses

This brief is concerned with the problem of designing observer-based controllers for two-dimensional switching linear systems with multiple focuses. Due to the deficiency of effective techniques of system analysis and synthesis, it is difficult to investigate the problem. The main technique of the common region pole assignment is used to solve the difficult problem. A switched state observer is designed for the switching systems under arbitrary switchings via the common Lyapunov function method. Based on the observer designed and by means of the common region pole assignment method, this brief designs an observer-based region stabilization controller for such systems under arbitrary periodic switchings. The results obtained is applied to a switching direct current (DC) circuit.