Mixed H₂/H_∞ model reference control of linear parameter‐varying discrete‐time systems with real‐time application to aeropendulum system

Abstract

The investigation of this paper revolves around the problem of designing mixed H 2 ∕H ∞ model reference control (MRC) systems of linear parameter-varying discrete-time systems. In this paper, two types of mixed H 2 ∕H ∞ MRC systems are considered. These two types are the mixed H 2 ∕H ∞ state-feedback and the mixed H 2 ∕H ∞ dynamic output-feedback MRC systems that are designed using a parameter-dependent Lyapunov function. The experimental results of the aeropendulum system are used to evaluate and show the effectiveness of the proposed controllers. The results indicate the satisfactory performances of the closed-loop systems.

Robust model reference tracking control for high‐order descriptor linear systems subject to parameter uncertainties

“…For example, the $$H_\infty$$ model reference tracking control for networked control systems with communication constraints was considered in [12]. Ali A. Abdullah studied mixed $$H_2/H_\infty$$ model reference control of linear parameter‐varying discrete‐time systems and $$H_\infty$$ model following control of linear parameter‐varying descriptor system in [13] and [14], respectively. In addition, [14] gives a simple survey of different types of controllers for different classes of descriptor systems.…”

Relationship between Nash Equilibrium Strategies and H2/H∞ Control of Mean-Field Stochastic Differential Equations with Multiplicative Noise

“…Based on SBRL, the authors in [5] studied the finiteand infinite-horizon stochastic mixed H 2 /H ∞ control of continuous-time systems with multiplicative noise. Since then, stochastic H 2 /H ∞ control has become a hot research topic and attracted the attention of many scholars [6][7][8][9][10][11][12][13][14][15][16]. In [6], the finite-horizon stochastic H 2 /H ∞ control was investigated for linear discrete time-varying systems with multiplicative noise.…”

“…Attention was also focused on the mixed H 2 /H ∞ control of nonlinear stochastic chaotic systems and partially unknown nonlinear stochastic systems [10,11]. The mixed H 2 /H ∞ state feedback and the mixed H 2 /H ∞ dynamic output feedback model reference control systems were designed using a parameter-dependent Lyapunov function in [12]. In the past few years, mixed H 2 /H ∞ control has been applied to unmanned aerial vehicles [13], the path tracking of autonomous vehicles [14], automated highway driving [15], and interconnected microgrids [16].…”