A POLE-PLACEMENT DESIGN APPROACH FOR SYSTEMS WITH MULTIPLE OPERATING-CONDITIONS

This paper proposes design procedures based on stale-space pole-placement techniques for systems with multiple operating conditions. This is the so-called simultaneous pole-placement problem. 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, which is an extension of the observer design to multimode systems. The design is decomposed into separated global pole-placement subproblems and a local pole-placement subproblem. For a system with some 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, without any restriction on the number of inputs or outputs. Relations of this approach to other simultaneous control design approaches are pointed out. © 1990 IEEE