Static output feedback control design for linear MIMO systems with actuator dynamics governed by diffusion PDEs

A Nonsmooth, Nonconvex Optimization Approach to Robust Stabilization by Static Output Feedback and Low-Order Controllers

Design of Robust PID Controller using Static Output Feedback framework

An LMI-Based Approach to Static Output Feedback Stabilization of T—S Fuzzy Systems

Multivariable fractional order PID controller design via LMI approach

Robust Finite Frequency ℋ∞ Passive Fault Tolerant Static Output Feedback Control with Application to Active Vibration Attenuation

An improvement on multivariable PID controller design via iterative LMI approach

In the above paper, it is claimed that the necessary and sufficient conditions for the static output feedback controller of fractional order singular systems are given in terms of linear matrix inequalities(LMIs). In this note, numerical examples are presented to show that both the necessary and the sufficient conditions of Theorem 3 given in [1] are incorrect. Besides, the the example in Section 4.2 of [1] constructed to support Theorem 3 is also wrong since it does not satisfy the assumption condition KC =3D — $$ G asserted and misused by the authors of [1]. A novel and solid improvement of static output feedback controller design is presented for the closed-loop fractional order singular systems to be admissible. Numerical examples are given to illustrate the proposed approaches.

Improved stability criterion and output feedback control for discrete time-delay systems

This paper studies the robust static output feedback (SOF) problem considering pole placement constraints for linear systems with polytopic uncertainty as well as linear parameter varying (LPV) systems. New linear matrix inequality (LMI) approaches are proposed for the SOF controller design while the pole placement, H2, and H∞ constraints are guaranteed. In addition, the gain-scheduled SOF controller will be designed for LPV systems if system parameters are measured. The proposed methods can be applied to general linear systems without imposing any constraints on system matrices. The performance and effectiveness of the proposed methods are shown using two examples.

this paper investigates the problem of robust gain-scheduled static output feedback (SOF) controller for a class of uncertain linear parameter varying systems (LPVSs). An uncertain LPVS is described by an interconnection of a nominal LPVS which is solely dependent on the measurable parameters, and a block structured uncertainty. For designing a H∞ gain-scheduled SOF controller as well as performing the stability analysis, the proposed method uses integral quadratic constraints (IQCs) to derive the linear matrix inequalities (LMIs) without any constraints on nominal system matrices. The performance and effectiveness of the proposed method are demonstrated based on an example.

This paper will research the problem of static output feedback (SOF) stabilization of state-constrained switched linear systems via an improved average dwell time method (ADT). Firstly, an improved ADT method is adopted to establish sufficient conditions for SOF of the state-constrained switched linear systems in the form of matrix inequality. It has been shown that this method is less conservative than traditional ADT, which in view of different decay rates of a Lyapunov function related to an active subsystem on the basis of whether the saturations occur or not. Then, a new iterative algorithm is designed to solve the matrix inequality and a SOF controller can be added. In the iterative linear matrix inequality (ILMI) algorithm, it is important not only to overcome the typical bilinear matrix inequality (BMI) problem of SOF, but also to solve the non-convex problem caused by state constraints. Finally, the availability and the applicability of the proposed method is shown by the application of a boost converter.

This paper examines the problem of designing a nonlinear static output feedback controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output feedback controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design technique.

This paper considers the problem of static output feedback (SOF) control for discrete-time switched linear systems under arbitrary switching. By the aid of switched quadratic Lyapunov functions combined with Finsler’s lemma, new sufficient conditions for SOF stabilization are obtained which guarantee a γ-performance of the closed-loop switched systems subject to input disturbances. The proposed method can work successfully in situations where the existing ones fail. Three examples are given to illustrate its effectiveness.

By complementarily fusing the robust stabilizability condition, the orthogonal-functions approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA), an integrative method is proposed in this paper to design the robust-stable and quadratic-optimal static output feedback controller such that i) the linear singular control system with structured parameter uncertainties is regular, impulse-free and asymptotically stable and ii) a quadratic finite-horizon integral performance index for the linear nominal singular control system can be minimized. Based on some essential properties of matrix measures, a new sufficient condition is presented for ensuring that the linear singular system with structured and quadratically-coupled structured parameter uncertainties is regular, impulse free and asymptotically stable. By using the OFA and the robust stabilizability condition, the dynamic-optimization problem for the robust-stable and quadratic-optimal static output feedback control design of the linear uncertain singular system is transformed into a static-constrained-optimization problem represented by the algebraic equations with constraint of robust stabilizability condition; thus greatly simplifying the robust-stable and quadratic-optimal static output feedback control design problem of the linear uncertain singular system. Then, for the static-constrained-optimization problem, the HTGA is employed to find the robust-stable and quadratic-optimal static output feedback controller of the linear uncertain singular control system. One design example of the robust-stable and quadratic-optimal static output feedback controller for a mass-spring-damper mechanical system with structured parameter uncertainties is given to demonstrate the applicability of the proposed integrative approach.

This paper proposes a robust H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> static output-feedback (SOF) controller design method for microgrid using Linear Parameter-Varying (LPV) approach. The proposed controller is designed to not only ensure a good frequency response with disturbance rejection, but also to provide the robustness in despite changes of the inertia of the grid. Two scenarios are studied in simulation to show the good steady-state and dynamic behaviours of the closed-loop system.