A pole-placement design approach for systems with multiple operating conditions

The author proposes design procedures based on state-space pole-placement techniques for systems with multiple operating conditions (simultaneous pole placement). First the full state feedback problem is studied, in which a nonlinear local pole-placement solution is proposed. The design condition is formulated in terms of the rank condition of a multimode controllability matrix. Then the output feedback problem is approached using a multimodel controller design. The design is decomposed into separated global pole-placement subproblems and a local pole-placement subproblem. For a system with some operating operating conditions having modes on the jω-axis but no modes at the origin or in the open right-half of the complex plane, stabilizability and detectability conditions for the design of an asymptotically stabilizing control are established. The relation of the approach to other simultaneous control design approaches are pointed out