Structural control using inverse [H.sub.2] optimal theory

The piezoelectric transducers embedded in structures offer distributed sensor and actuator architectures for structural control, a process that involves health monitoring and control of local structural degrees of freedom. The design steps demand sensor and actuator management schemes so that the response of a structural component in question is monitored and then tailored to the design requirements. Kalman's inverse theory is used to determine sensor and sensor-actuator combinations for optimal observers and controllers. The Riccati equations for each combination are derived to formulate the linear quadratic Gaussian theory for a reconfigurable architecture. An oscillator model with two inputs is considered to illustrate the underlying structural control principles.