In some practical problems, for instance in the control systems for the suppression of vibration in mechanical systems, the state-derivative signals are easier to obtain than the state signals. A new technique for stabilization of linear multivariable systems by state-derivative feedback is proposed. The proposed method is described in Linear Matrix Inequalities (LMIs) and assumes that the plant is a controllable system with poles different from zero. It can include design constraints such as: decay rate, bounds on output peak and structural failures. An optimization procedure to obtain the controller gain with constraint in the norm is also proposed. The efficiency of design procedure is illustrated through three numerical examples.
Linear Matrix Inequalities (LMIs); State-Derivative Feedback; Decay Rate; Bounds on Output Peak; Structural Failures
