Optimal control of switched distributed parameter systems with spatially scheduled actuators

DOI10.1016/j.automatica.2008.07.012zbMath1158.49304OpenAlexW1963498042MaRDI QIDQ1012719

Michael A. Demetriou, Orest V. Iftime

Publication date: 22 April 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.07.012

zbMATH Keywords

optimal controlhybrid systemsdistributed parameter systemsswitched systemsswitched controllersscheduled actuator

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Applications of optimal control and differential games (49N90) Linear-quadratic optimal control problems (49N10)

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Relaxation methods for mixed-integer optimal control of partial differential equations ⋮ Stabilizability of nonlinear infinite dimensional switched systems by measures of noncompactness in the space \(c_0\) ⋮ State elimination for mixed‐integer optimal control of partial differential equations by semigroup theory ⋮ Approximate moving horizon estimation for switching conservative linear infinite-dimensional systems ⋮ Integer optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems ⋮ Optimal actuator switching synthesis of observer-based event-triggered state feedback control for distributed parameter systems ⋮ Lipschitz continuity of the value function in mixed-integer optimal control problems ⋮ Optimal scanning control of flexible structures in two-dimensional space ⋮ A convex analysis approach to optimal controls with switching structure for partial differential equations ⋮ Mixed-Integer Optimal Control for PDEs: Relaxation via Differential Inclusions and Applications to Gas Network Optimization ⋮ Fault-tolerant control for a class of switched parabolic systems ⋮ Fault tolerant time optimization for a class of time-varying switched infinite dimensional linear systems ⋮ Stabilization by switching of parabolic PDEs with spatially scheduled actuators and sensors ⋮ A convex penalty for switching control of partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Stability of switching infinite-dimensional systems
• Sensors and controllers location in distributed systems - A survey
• Semigroups of linear operators and applications to partial differential equations
• Existence and comparison theorems for partial differential equations of Riccati type
• Modelling and adaptive control of nonlinear distributed parameter bioreactors via orthogonal collocation
• Switching in systems and control
• A new actuator activation policy for performance enhancement of controlled diffusion processes.
• Optimal actuator/sensor location for active noise regulator and tracking control problems
• Bounds for the maximal eigenvalue of a nonnegative irreducible matrix
• Mobile Point Controls Versus Locally Distributed Ones for the Controllability of the Semilinear Parabolic Equation
• Linear output feedback controller design with joint selection of sensors and actuators
• Predictive control of parabolic PDEs with state and control constraints
• Convex analysis and global optimization of joint actuator location and control problems
• $L^\infty $-Exact Observability of the Heat Equation with Scanning Pointwise Sensor
• Thermopiezoelectric Control Design
• Spatial Control of Vibration
• Compensation of spatiotemporally varying disturbances in nonlinear transport processes via actuator scheduling
• Finite Element Methods with B-Splines
• A review of methods for input/output selection