Robust Multiobjective Lti Control Design for Systems with Structured Perturbations
نویسنده
چکیده
We consider a multiobjective robust controller synthesis problem for an LTI system subject to structured perturbations. Our design speciications include robust stability, robust performance (H 2-norm) bounds and time-domain bounds (output and command input peak). We derive suucient conditions, based on a single quadratic Lyapunov function, for the existence of an LTI controller such that the closed-loop system satisses all speciications simultaneously. These nonconvex conditions can be numerically checked with an eecient LMI-based heuristic. We illustrate our results on a three-parameter mass/spring system.
منابع مشابه
Passivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations
This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...
متن کاملApplication of ANN Technique for Interconnected Power System Load Frequency Control (RESEARCH NOTE)
This paper describes an application of Artificial Neural Networks (ANN) to Load Frequency Control (LFC) of nonlinear power systems. Power systems, such as other industrial processes, have parametric uncertainties that for controller design had to take the uncertainties in to account. For this reason, in the design of LFC controller the idea of robust control theories are being used. To improve ...
متن کاملThe Real DFM Radius and Minimum Norm Plant Perturbation for General Control Information Flow Constraints
Abstract: The real decentralized fixed mode radius measures how “near” a decentralized LTI system is from having a decentralized fixed mode (DFM) present. In this paper, some properties of the real DFM radius are discussed, a procedure for computing the actual system parametric perturbations that achieve the real DFM radius is presented, and the real DFM radius is extended to deal with structur...
متن کاملA Dissipative Integral Sliding Mode Control Redesign Method
This paper develops a new method of integral sliding mode control redesign for a class of perturbed nonlinear dissipative switched systems by modifying the dissipativity-based control law that was designed for the unperturbed systems. The nominal model is considered affine with matched and unmatched perturbations. The redesigned control law includes an integral sliding-based control signal such...
متن کاملThe Exact Solution of Min-Time Optimal Control Problem in Constrained LTI Systems: A State Transition Matrix Approach
In this paper, the min-time optimal control problem is mainly investigated in the linear time invariant (LTI) continuous-time control system with a constrained input. A high order dynamical LTI system is firstly considered for this purpose. Then the Pontryagin principle and some necessary optimality conditions have been simultaneously used to solve the optimal control problem. These optimality ...
متن کامل