Generalized sampled‐data hold functions for robust multivariable tracking and disturbance rejection

Werner, Herbert

doi:10.1002/oca.684

Cited by 6 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[20]. The latter lemma, however, gives only a sufficient condition of solvability of (9) in terms of rðM a Þ (in our notion). Thus, the former offers two clear advantages over the latter}it removes a potential conservation and the matrix involved in the calculation of spectral radius is finally of lower dimension (see Section 6.1).…”

Section: Lemma 32mentioning

confidence: 92%

Robustness of linear uncertain sampled‐data control systems with generalized sampled‐data hold functions

Jin

Mirkin

Palmor

2006

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

SUMMARYThis paper investigates robust stability of linear time-invariant (LTI) uncertain sampled-data control systems with generalized sampled-data hold functions (GSHFs). A new sufficient condition for robust stability of such systems is developed. Unlike that of most of the previous works, it directly uses the data of the continuous-time plant and therefore it is less conservative. The condition is expressed in terms of the spectral radius of a certain matrix and is shown to be a unimodal function of a free parameter. This property enabled us to use standard one-dimensional optimization algorithm to perform the proposed test.

show abstract

Section: Lemma 32mentioning

confidence: 92%

Robustness of linear uncertain sampled‐data control systems with generalized sampled‐data hold functions

Jin

Mirkin

Palmor

2006

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…is then constructed as a linear combination of the last N output observations [6][7][8]. Consider a discrete -time system having at time τ .…”

Section: Fast Output Sampling Methodsmentioning

confidence: 99%

Design of Decentralized PSSs for Multimachine Power System via Reduced Order Model

Kumar

Gupta

2012

2012 Fourth International Conference on Computational Intelligence and Communication Networks

View full text Add to dashboard Cite

The Power System Stabilizer (PSS) is added to excitation system to enhance the damping during low frequency oscillations. In this paper, the design of decentralized PSSs for 10 machines with 39 buses using fast output sampling method via reduced order model is proposed. In multi-machine power system the order of the states matrix is very large. The main objectives of order reduction is to design a controller of lower order which can effectively control the original high order system so that the overall system is of lower order and easy to understand. The state space matrices of the reduced order system are chosen such that the dominant eigenvalues of the full order system are unchanged. The other system parameters are chosen using the particle swarm optimization with objective function to minimize the mean squared errors between the outputs of the full order system and the outputs of the reduced order model when the inputs are unit step. Design of fast output sampling controllers via reduced order model using Particle Swarm Optimization (PSO) method is proposed for good damping enhancement for various operating points of multi-machine power systems. In fast output sampling technique, the nonlinear model of 10 machine and 39 bus system is linearized at different operating point and a linear model is obtained. A robust fast output sampling feedback gain which realizes output injection gain is obtained using LMI approach. This robust fast output sampling control is applied to non-linear model of a Multi-machine system at different operating points. This method gives very good results in the design of Power System Stabilizers and takes less computation time in operation of power system.

show abstract

“…In the work of Shi et al, a robust disturbance attenuation was considered for discrete‐time systems. In the work of Werner, a design procedure was considered for robust multivariable tracking and disturbance rejection. In the work of Wei et al, a robust H ∞ control was investigated for stochastic jumping systems with nonlinear disturbances.…”

Section: Introductionmentioning

confidence: 99%

A robust and accurate disturbance damping control design for nonlinear dynamical systems

Jajarmi

Hajipour

Sajjadi

et al. 2018

Optim Control Appl Methods

View full text Add to dashboard Cite

Summary The principle result of this paper is the following disturbance rejection control scheme for a class of nonlinear dynamical systems. By using the internal model principle, the problem of disturbance damping control is converted into a nonlinear quadratic regulator (NQR) problem for an undisturbed augmented system. Then, an iterative technique is designed to solve this NQR problem effectively. The proposed iterative method is also extended through the use of a nonlinear model predictive control in an offline framework. In this case and in the presence of unknown disturbances, the Lyapunov stability of the closed‐loop system is guaranteed. Numerical simulations and comparative results verify the effectiveness of the proposed approach.

show abstract

Generalized sampled‐data hold functions for robust multivariable tracking and disturbance rejection

Cited by 6 publications

References 9 publications

Robustness of linear uncertain sampled‐data control systems with generalized sampled‐data hold functions

Robustness of linear uncertain sampled‐data control systems with generalized sampled‐data hold functions

Design of Decentralized PSSs for Multimachine Power System via Reduced Order Model

A robust and accurate disturbance damping control design for nonlinear dynamical systems

Contact Info

Product

Resources

About