Comparison Sensitivity Design of Output Feedback Systems Using State Observers.
Abstract
A desirable property of any control design is that it be insensitive to small variations in the parameters of the controlled plant. This is necessary for several reasons. For instance, the mathematical model can only approximate the physical problem so that the assumed values of parameters for the design may be different from the actual parameter values upon implementation. Also, most systems suffer from some forms of unmeasurable or unpredictable variations due to the degeneration of physical components and adverse environmental effects. Hence, there is a need for general design methods which guarantee some degree of insensitivity. In this thesis the reduction of sensitivity of feedback systems to parameter variations in the plant is investigated. The concept of comparison sensitivity is used as an indication of the sensitivity performance of a given design. In particular, the question of sensitivity reduction in feedback systems which use state observers for dynamic compensation is considered leading to a design procedure which guarantees sensitivity reduction with respect to a particular comparison sensitivity reduction criterion. The problem has been solved for the full state feedback case, and it was recently solved for the output feedback case using dynamic compensators. In both instances it is shown that sensitivity reduction is directly related to some optimal control law. A short overview of these past results is given in the sequel followed by a presentation of the results developed using state observers in the compensator dynamics. All systems discussed are assumed to be linear time invariant (LTI) systems which are state controllable and state observable. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1978
- Accession Number
- ADA057647
Entities
People
- Bruce Harvey Krough
Organizations
- University of Illinois Urbana–Champaign