On the use of reduced-order models in output feedback design of discrete systems (original) (raw)
Related papers
Signal & Image Processing : An International Journal, 2011
This paper investigates the design of reduced order controllers for the stabilization of large scale linear discrete-time control systems. Sufficient conditions are derived for the design of reduced order controllers by obtaining a reduced order model of the original large scale linear system using the dominant state of the system. The reduced order controllers are assumed to use only the state of the reduced order model of the original plant.
Reduced order modelling of discrete-time systems
Applied Mathematical Modelling, 1995
A simple model order reduction technique is proposed for z-transfer functions. This method is based on approximate model matching in the frequency domain. The entire procedure is carried out in the z-domain and the resultant linear algebraic equations are solved to find the unknown parameters of the reduced-order model. An example favorably compares this method with some prevalent techniques.
Controller reduction of discrete linear closed loop systems in a certain frequency domain
2007
In this paper, a novel controller reduction method for discrete linear time invariant system is presented. The reduction method is based on defining new controllability and observability grammians and considers the energy distribution for the closed loop system. After defining these new grammians, Moore balance truncation method is used in a certain frequency domain to reduce the order of controller. The stability of reduced order controller will be shown by forming Lyapunov equations. Simulation results on a typical example show the effectiveness of the method.
IJERT-Reduced Order Modelling using PSO and Discrete Robust Controller Design
International Journal of Engineering Research and Technology (IJERT), 2014
https://www.ijert.org/reduced-order-modelling-using-pso-and-discrete-robust-controller-design https://www.ijert.org/research/reduced-order-modelling-using-pso-and-discrete-robust-controller-design-IJERTV3IS120353.pdf The objective of this paper is to reduce higher order discrete system to lower order discrete system using the PSO algorithm. Then, the discrete time PID controller has been designed using the same principle to improve peak overshoots and steady state responses of the reduced order model. Finally, the robust controller has been designed by taking another design example. The discrete H ∞ controller is designed using the mixed sensitivity H ∞ control method, based on 2-Riccati state space approach of Glover and Doyle. The proposed methods are illustrated with the help of typical design problems considered from literature.
Reduced Order Model of Position Control System
International Journal of Instrumentation Control and Automation, 2011
In this paper, simple approach is proposed to determine reduced order model of a unstable open-loop position control system. This approach is based on Krishnamurthy’s approach on Routh criterion on reduced order modelling. The results are simulated in Matlab environment.
Stability and performance guarantees for plants in closed-loop with reduced-order controllers
2011
Constructing a reduced-order controller from a highdimensional plant is commonly necessary. The "reduce-then-design" approach constructs the controller from a reduced-order plant; "designthen-reduce" directly reduces a full-order controller. In both cases, we present sufficient conditions for the full-order plant and reducedorder controller to achieve closed-loop stability or performance. These conditions, motivated by the ⌫-gap metric, reveal model reduction orders that guarantee stability or performance. Control of the linearized Ginzburg-Landau system provides validation.
A New Technique For Reduced-Order Modelling of Linear Time-Invariant System
IETE Journal of Research, 2017
In this paper, a new technique for order reduction of linear time-invariant systems is presented. This technique is intended for both single-input single-output (SISO) and multi-input multi-output (MIMO) systems. Motivated by other reduction techniques, the new proposed reduction technique is based on modified pole clustering and factor division algorithm with the objective of obtaining a stable reduced-order system preserving all essential properties of the original system. The new technique is illustrated by three numerical examples which are considered from the literature. To evaluate the superiority and robustness of the new technique, the results of the proposed technique are compared with other well-known and recently developed order-reduction techniques like Routh approximation and Big Bang-Big Crunch algorithm. The comparison of performance indices shows the efficiency and powerfulness of the new technique.
Reduced-Order Models for Feedback Stabilization of Linear Systems with a Singular Perturbation Model
Asian Journal of Control, 2008
The problem of output feedback stabilization of linear systems based on a reduced-order model is addressed in this paper. New reduced-order models are proposed for the output feedback design of linear systems with a singular perturbation model. An output feedback controller with a zero steady-state gain matrix is proposed for stabilizing this kind of system. It is shown that with the proposed controller the reduced-order model based feedback design can guarantee the actual closed-loop stability for the sufficiently small perturbation parameter. This approach can overcome the difficulties in the existing design method using the so-called zeroth-order approximation model, whose validity is highly dependent on the value of the perturbation parameter.
Sliding Mode Control Design via Reduced Order Model Approach
2006
This paper presents a design of continuous-time sliding mode control for the higher order systems via reduced order model. It is shown that a continuous-time sliding mode control designed for the reduced order model gives similar performance for the higher order system. The method is illustrated by numerical examples. The paper also introduces a technique for design of a sliding surface such that the system satisfies a cost-optimality condition when on the sliding surface.
Reduced order models for closed loop control: comparison between POD, BPOD, and global modes
Progress in Flight Physics, 2012
ABSTRACT Linear Quadratic Gaussian (LQG) control is a promising tool to control flows. Initially developed for systems of moderate size, it is not directly applicable to fluid mechanics problems, requiring a reduced model. Three popular ways of reducing the system will be presented and their ability to control the global instability of an incompressible cavity flow will be studied. A comparison between reduced models based on global modes, Proper Orthogonal Decomposition (POD) modes and Balanced POD (BPOD) modes permits to discuss the relevant quantities to be captured by the reduced model to insure a successful control.