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This paper presents an entirely new observer design algorithm for loop transfer recovery (LTR). This algorithm has three advantages over other LTR design algorithms when exact LTR cannot be achieved (true for most of cases). First, it results in finite gain, instead of asymptotically large gain of other algorithms. Second, it is much simpler, more explicit and systematic. Third, it can perfectly unify...
Given a stabilizing linear output feedback control for a given linear system, we show how to determine if the candidate control is consistent with the constrained Lyapunov problem; i.e., the chosen output feedback can be obtained by the proper choice of a Lyapunov function for the stabilized system. Necessary and sufficient conditions are stated, a solution procedure is developed, and an illustrative...
There is a need for low order, limited ouput feedback controllers for sampled-data systems. Closed-loop pole placement, with some constraints, is found to be achievable by the use of periodic, piecewise-constant output feedback. The norm of the feedback gains can be minimized using Sylvester's equation and a secant search method. A simple expression for the gradient of the norm is derived using Kronecker...
Stabilization problem of discrete two-time-scale systems via block implementation is considered in this paper. Block dynamical equations for the original system and slow and fast subsystems are examined. It is shown that the eigenvalue assignment problem for subsystems, both in state and output feedback cases, can be exploited to stabilize the full system by adding certain extra compensators.
This paper proposes Pole- placement control design procedures using static output feedback. The pole-placement problem is posed as a multilinear design problem. To guarantee that a real solution exists to the multilinear pole-placement equation, the concept of placing the closed-loop poles locally about the open loop poles is introduced. The number of closed-loop poles that can be arbitrarily placed...
A tutorial description of the theory of eigenstructure assignment using both output feedback and constrained output feedback is presented. The computer implementation of the algorithm is discussed including the utilization of real arithmetic for complex conjugate eigenvalues.
A decentralized control synthesis method which is developed using a concept of interconnection rejection is proposed herein. Sufficient conditions under which this type of decentralized controllers can be synthesized are given.
The design of linear control by pole placement in continuous time domain formulation has been investigated by many researchers. Numerous techniques have been proposed for the design of a proportional feedback law so that closed loop poles can be specified a priori. However, because many industrial processes are large dimensional systems with many states but very few measurements and controls, the...
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