New LMI Characterizations for Discrete-Time Descriptor Systems and Application to Multiobjetive Control System Synthesis
نویسنده
چکیده
Abstract: This paper presents new LMI characterizations for stability, H2 and H∞ norms of discrete-time descriptor systems. Based on these characterizations, an iterative design procedure for multiobjective and structurally constrained feedback control are proposed. The first key idea of the iterative design procedure is embedding the previously designed feedback gain K̂ in the descriptor representation of the closed-loop system. The second key idea of the iterative design procedure is linearizing the products terms of the actual controller parameter K and the auxiliary variables by the assignment of variables instead of the ‘change of variables’ technique.
منابع مشابه
Partial Eigenvalue Assignment in Discrete-time Descriptor Systems via Derivative State Feedback
A method for solving the descriptor discrete-time linear system is focused. For easily, it is converted to a standard discrete-time linear system by the definition of a derivative state feedback. Then partial eigenvalue assignment is used for obtaining state feedback and solving the standard system. In partial eigenvalue assignment, just a part of the open loop spectrum of the standard linear s...
متن کاملExtended H2 - H∞ controller synthesis for linear time invariant descriptor systems. (Commande H2 - H∞ non standard des systèmes implicites)
Descriptor systems constitute an important class of systems of both theoretical and practical interests and have been attracting the attention of many researchers over recent decades. This dissertation is concerned with non-standard H2 and H∞ control for linear time-invariant descriptor systems. Within the descriptor framework, the contributions of this dissertation are threefold: i) review of ...
متن کاملLMI Conditions for H∞ Static Output Feedback Control of Discrete-time Systems
This paper is concerned with the problems of H∞ static output feedback (SOF) control synthesis for discretetime systems. New linear matrix inequality (LMI) characterizations are derived, which enable one SOF controller by using parameter-dependent Lyapunov function. The relationship between the proposed methods include and the existing ones are clarified, which shows that our new results includ...
متن کاملOn Extended LMI Conditions for H_2 / H_infinity Control of Discrete-Time Linear Systems
This paper provides new insights into the currently available extended linear matrix inequality (LMI) conditions for control of discrete-time linear systems, motivating the use of two intrinsically different extended LMI characterizations for H2 performance. While these conditions are equivalent for H2 analysis and many H2 control problems related to precisely known linear time-invariant (LTI) ...
متن کاملApplication of Independent Joint Control Strategy for Discrete-Time Servo Control of Overhead Cranes
In this study, a new servo control system is presented for the overhead crane based on discrete-time state feedback approach. It provides both robust tracking and load swing suppression. Inspired from independent joint and computed torque control in robot manipulator field, a new model is derived in which the crane actuators are considered as the main plant. The crane nonlinearities are then tr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008