H/sub infinity /-optimal estimation: a tutorial

Abstract

The different aspects of H, -estimation of linear, time-varying processes are considered, in both the continuous-and the discrete-time cases. The connection with differential-games is explained and the uniqueness and robustness issues are discussed. Four illustrative examples are given that demonstrate the various estimation schemes and compare the H, results with the correspondingl, solutions.

Digital Adaptive and Optimal Control of Distributed Systems

“…It has been demonstrated in previous literature that lattice filters can be effective for adaptive identification of flexible structures, but the previous literature used prewindowed lattices and primarily single-input/single-output models and data The results in [11] demonstrate the advantages of an unwindowed, multi-channel lattice for identification of complex structures.…”

“…The results reported in [11] were obtained by using the multichannel lattice filter to estimate the coefficients in (3.1) adaptively. To generate the data used for this paper, the disturbance actuator and actuator 2 excited the truss simultaneously with broad-band force sequences.…”

“…The lattice filter in 12,16] was used for adaptive identification of large experimental aerospace structures from input/output data in [11,9]. The paper 11] resulted from our collaboration with Wright Patterson AFB, and [9] resulted from our collaboration with the Jet Propulsion Laboratory.…”

“…Figure 4 shows open-loop and closed-loop path-length errors. [4], [5], [9], [10], [11], [12], [16], [17] has shown that fiber optic sensors can be embedded in composite materials to measure spatial integrals of strain along the length of the fiber and that such measurements can be used in feedback control systems to damp structural vibrations actively. Modal domain fiber optic sensors, discussed in [3], appear to be best suited for such applications.…”

“…Eight actuator/sensor pairs and a disturbance actuator are attached to the truss as shown. Only the actuators and sensors located on the top of the truss were used for [11].…”