LMI based output - feedback controllers : γ - optimal versus linear quadratic ⋆
نویسندگان
چکیده
Solution to the linear quadratic control problem is given in the class of linear dynamic output-feedback full order controllers. Necessary and sufficient conditions for existence of such an optimal controller are stated in terms of linear matrix inequalities provided that initial conditions for controller states to be zero. It is shown that parameters of the optimal controller depend on an initial plant state. As an alternative we introduce γ-optimal controller which minimizes the maximal ratio of the performance index and square of the norm of the initial plant state. Numerical comparison for two kinds of these controllers is presented for inverted and double inverted pendulums.
منابع مشابه
Design of Stable and Quadratic-optimal Static Output Feedback Controllers for Ts-fuzzy-model-based Control Systems: an Integrative Computational Approach
By integrating the stabilizability condition, the orthogonal-functions approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA), an integrative computational method is presented in this paper to design the stable and quadratic-optimal static output feedback parallel-distributed-compensation (PDC) controller such that (i) the TakagiSugeno (TS) fuzzy-model-based control system can be stabil...
متن کاملOutput Feedback Stabilization of Linear Uncertain Discrete Systems with Guaranteed Cost
In this paper new necessary and sufficient conditions for static output feedback robust controller design for linear discrete timeinvariant systems have been used. The output feedback robust controller design may be reduced to the problem of finding a feasible point under Biaffine Matrix Inequality constraint. In this paper the BMI problem of the output feedback robust controller design has bee...
متن کاملRobust Output Feedback Controller Design for Linear Parametric Uncertain Systems
This paper proposes the guaranteed cost design of a robust output feedback controller for continuous linear parametric uncertain systems. New necessary and sufficient conditions for static output feedback stabilizability of linear continuous time systems underlay the design procedure. The proposed algorithms are computationally simple and tightly connected with the Lyapunov stability theory and...
متن کاملTransformation Using Neural-Based Identification for Controlling Singularly- Perturbed Eigenvalue-Preserved Reduced Order Systems
This paper introduces a new hierarchy for controlling dynamical systems. The new control hierarchy uses supervised neural network to identify certain parameters of the transformed system matrix [ A ]. Then, Linear Matrix Inequality (LMI) is used to determine the permutation matrix [P] so that a complete system transformation {[ B~ ], [ C ], [ D~ ]} is performed. The transformed model is then re...
متن کاملQuadratic Stabilization for Nonlinear Perturbed Discrete Time-Delay Systems
Abstract: This paper discusses the quadratic stability and quadratic stabilization problem for a class of nonlinear perturbed discrete time-delay systems. Necessary and sufficient conditions for quadratic stability are presented via S-procedure technique and linear matrix inequality (LMI). Both static and dynamic output feedback controllers are constructed respectively. Furthermore, necessary a...
متن کامل