Static Output Feedback Pole Placement: a Trust Region Approach using the Characteristic Polynomial
نویسنده
چکیده
Abstract— The recent paper [1] presents a pair of trust region based algorithms for the problem of pole placement via static output feedback. These notes revisit this problem and present an alternate, closely related algorithm. The main change is that instead of having a cost function based on the eigenvalues of the closed loop system matrix, the cost function is based on the characteristic polynomial of the closed loop system. The main advantage of the new approach is that, unlike for the prior algorithms, desired poles no longer have to be distinct.
منابع مشابه
Adaptive fuzzy pole placement for stabilization of non-linear systems
A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...
متن کاملGeneralized pole placement via static output feedback: A methodology based on projections
This paper presents an algorithm for solving static output feedback pole placement problems of the following rather general form: given n subsets of the complex plane, find a static output feedback that places in each of these subsets a pole of the closed-loop system. The algorithm presented is iterative in nature and is based on alternating projection ideas. Each iteration of the algorithm inv...
متن کاملPole Placement via Output Feedback: a Methodology Based on Projections
This paper presents an algorithm for solving static output feedback pole placement problems of the following rather general form: given n subsets of the complex plane, find a static output feedback that places in each of these subsets a pole of the closed loop system. The algorithm presented is iterative in nature and is based on alternating projection ideas. Each iteration of the algorithm inv...
متن کاملHasse Diagram and Dynamic Feedback of Linear Systems
The output feedback pole placement problem of linear systems with static or dynamic compensators belongs to the classical problems in control theory and many theoretical and numerical research papers were already devoted to this problem. Although the considered systems are linear, the problem requires the solution of an over determined system of quadratic polynomial equations. A lot of progress...
متن کاملPolynomial approach to pole placement in MIMO n-D systems
A lot of dynamical properties of a linear system can be naturally expressed in terms of the positions of its poles. That is why the problem of pole placement has become so popular in control. In scalar linear systems, it is sufficient to assign just the characteristic polynomial. In multi-input multi-output systems, however, one must assign separately all the invariant polynomials (and not mere...
متن کامل