Robust Output Feedback Control for Uncertain Switched Linear Systems with Closed-loop Disk Pole Constrains

For a class of discrete-time switched linear systems with norm-bounded time-varying uncertainty, the problem of designing dynamic output feedback controller to guarantee that all closed-loop poles be assigned in the prespecified disk was investigated. With multiple Lyapunov functions approach, it is shown that this existence condition of the desired output feedback controller is equivalent to the solvability problem of a set of certain linear matrix inequalities (LMIs), which can be solved by the existing efficient convex optimization techniques. A construction of the desired controllers is provided in terms of feasible solutions to the LMIs. Finally, An example is given to illustrate the effectiveness of the proposed method